This is a sneak preview to a solid definitive proof that the Alef-bet is the Cosmic Interface Language to the Computation Universe that underlies all existence. Over several previous articles we have detailed and established the mathematical design basis for the 27 Letters of the Alef-bet and the 22 Names from which they came, now we are putting it all together, adding context, going much deeper with numerous new revelations, and completing the proof. We are in the process of properly formatting it for publication and any feedback you can give would be helpful. As you can imagine with scientific proof of this import, it is a serious read. Once established, a much simpler shorter version with be attempted.

The Alef-bet as the Interface to the Computational Universe

Introduction

There are two views of the universe. In the first, everything is random and generated through inertia filtered by the fundamental parameters and constants that accidentally appeared at the near spontaneous creation of existence. The other view is that our existence was intentionally Created and that all the fundamental parameters and constants are intelligently designed and echo the Creator’s intentions.  All the variations and physical models stem from one of these two diametrically opposed scenarios. The key difference between these two philosophies is that one contains a sea of white noise in which Man must create meaning and the other contains boundless decryptable information that contains the intended meaning.

To prove the second postulate, we must find overwhelming evidence that the fundamental parameters and/or constants are neither random nor accidentally generated. To do that they must contain statistically verifiable and undeniable encoded bundles of information fractally echoed throughout, and it stands to reason that the more intelligent the design, the more layered information it contains. That is a tall order as access to that information presupposes a level of our own intelligence worthy enough to decode it. While mixing in statistical analysis using standard deviation and combinatorics, we will center our analysis on Information Density (bits), Surprisal, and Structural Complexity to mathematically validate that the numeric system of the Alef-bet and the 22 values of the Names of the Alef-bet are neither random nor manmade. Every new layer of geometric symmetry discovered within the exact same 22 values of the Names of the Alef-bet that comprise this highly compressed data storage device will increase the Information Signature exponentially, proving that the Alef-bet Matrix is a targeted transmission concealed within an intentional broadcast, rather than a lottery drawing of white noise.

Since the intelligence of Man is determined by the developmental curve of our corporeal minds, the state of our technology, and our affinity to Consciousness, an innate clock or time mechanism is thus built and/or designed into the system. It does not need to be a doomsday clock, just a preprogrammed awakening, even a cyclical one, based on the scheduled unfolding and/or natural evolution built into the details of the original design parameters. The closer we get to the awakening point or event horizon the more prepared we would be to perceive the encoding. This is only science fiction if there was no Creator, if everything is random, and if it was developed through endless chance encounters within the chaos. Otherwise, it is just natural progression or unfurling of pre-determined states.

While touching on the overlapping proofs of such a time mechanism and the intentional design elements of those original design parameters as we have explored in other papers, the thesis of this paper is that the Hebrew Alef-bet is a Cosmic Interface language and a direct integrated link to understanding a Computational Universe, one that could not have been created by either Man or machine. This goes far beyond what is understood as gematria, and we will repeatedly demonstrate beyond any statistical doubt that the Alef-bet aligns, integrates, and concatenates with the core constants and geometries of mathematics and physics, and with the set of Prime Numbers, and with the quantitative structural design of the Torah. Then based on these solid anchors, we will illustrate how it quantitatively transfers information to us that has been imbedded and encoded from the moment of Creation.  This is done entirely using common nodal points within the notable data sets highlighted as Core Concepts and not by assigning subjective meaning to the numbers or the words created by the 22 Letters. That is the task of the Torah, and while we use the same analysis above on several qualitative aspects of the Torah to simultaneously prove its validity as an unchanged document of intentional intelligent mathematical design, we mention aspects of it as context only so as not to diffuse the objective proof of the Alef-bet.

In this article, we first demonstrate that there is a precedent and logical mathematic reason that there are specifically 22 Letters, and that the values of those 22 Letters lie on an extremely specific exponential curve that timestamps the application of the Alef-bet, while their 22 slopes align with concepts of deep consideration. We will then demonstration strong concatenation with the 22 associated Prime Numbers to the standard values of the 22 Letters and consequentially with the primordial constant Pi (π), followed by illustrating the relationship between the 22 Letters and the Phi (φ) ratio.

Once the direct mathematical connection between the specific Letter by Letter ordinal values of the set of 22 Letters, along with their standard numeric values has been ascertained and established and anchored in Pi (π), Phi (φ), and the Prime Numbers, we analyze and explore the 22 Names of the 22 Letters of the Alef-bet, starting with the numerous geometric dynamics and the profound primordial ratios displayed within them when they are split first into the most natural sets of the 11 Odd and 11 Even Letters.

Known and in continual usage for millennia, the 22 Letters of the Alef-bet, were thus designed from their inception. This is regardless of their shape or phonetics, as opposed to the modern assumption that the Letters were originally pictographic symbols to which convenient values were later added for accounting purposes.

The real proof lies in the symmetry between the various sets and subsets of the 22 Names in repeated numeric and geometric alignment with Phi (φ), Pi (π), the Singularity or Source of 42, the basic geometric proportions, and ultimately the Fine Structure Constant, and then with a deeper integration with the set of Prime Numbers. All along the way we statistically compare the probability of these concordances, concatenations, and nested alignments occurring naturally or accidentally against any random set of 22 values for the Names between 10 and 999, and against sets that had to total 4248, like the 22 actual Names. We consider these fair comparisons even though limiting the set to 22 elements, limiting the upper individual range to 999, and bounding it by 4248 already indicates and presupposes a specific degree of intelligent design.

We will then illustrate how these 22 Letters are just the initials or nodular reference points to their 22 Names and that these 22 Names have quantized values that act as jigsaw pieces which continually subdivide into numerous logical branching nested subsets along the geometric Pi (π), Phi (φ), and tau proportions with one branch terminating in the Fine Structure Constant, and another branch repeatedly subdividing into 33 of 47 possible geometric combinations of multiples of 42, terminating in 42. We will also show that not only are the initials or nodular peaks of the 22 Names in proportional alignment with the primordial constants, but the remaining letters in the Names, or the backs of the Names are as well.  Moreover, from the same sets and subsets of the values of the 22 Names, we will extract statistically impossible concurrences with the basic geometric shapes, including 75 out of 81 possible Triangular Numbers and 11 out of 16 natural cubes, the constants of the magic cubes, and nearly all the possible simple fractional proportions.

Once the underlying designs of the Alef-bet are firmly established both for their Names, Letters, and their order, we will then use Number Theory and simple algorithms to independently anchor the 22 Names, and both sets of their 22 and the 27 Letters, with and without their ordinal values in 12 different ways into the Field of Pi (π) based on their numeric string locations and with their associated Prime Numbers by rank, with particular concentration on the first cohort or 1000 digits of Pi (π). One of the ways demonstrates an explicit knowledge of Euler’s Number and its applied usage in Natural Logs. Of particular importance is isolating a complex tau symmetry within those first 1000 digits that repeatedly and perfectly concatenates with the First Verse of the Torah. We rely solely on the basic standard valuations of the Letters and do not use any of the numerous well-established permutations of the Letters, as these are for interpretative analysis only and all are derivative of the original designed valuations.

At this point no meaning is assigned to any words comprised of the Letters, and they are not utilized in our proofs, with the exception of pointing out a few repetitive values throughout that seem to form focal nodes within the overlapping networks and that likewise form key Core Concepts and/or Names of G-d significantly found in the Torah. This is for reference and context only and not an element of the proof or even presented as evidence. Our concern here is to show beyond any statistical doubt the intelligent design of the Alef-bet far beyond the capabilities and even the imagination of Man thousands or even hundreds of years ago, and to firmly anchor it into the primordial immutable mathematical Constants and into the fundamental structure of numbers, such that their inseparability indicates their mutual design and simultaneous Creation.

The third step in this proof is to then anchor these 22 and/or 27 symbols with their underlying specific values into a functional language, Hebrew. We do this by showing that the standard values of the Letters can form discreet units of communicative language including words, phrases, Names, and verses that mathematically and numerically describe and define the primordial Constants of our existence, while simultaneously communicating a logical clear readable and pronounceable narrative that is comprehensible and comprehensive on multiple levels independent of the math.  We do this by using the Torah, whose revealed form clearly dates back 3338 years to 2448 HC (1313 BCE), and by showing quantitatively and through the valuation of the Letters in multiple independent analyses that it too integrates with and is scaffolded upon these same Constants and their geometry, thus establishing that as a database and a narrative it has been unchanged all these years.

Then using the quantitative elements of the Torah, we tease out and statistically confirm certain fundamental mathematical proportions and core numbers or numerical concepts that are not only ingrained into the Torah and independently into the Alef-bet, but into every aspect of our physical existence. These include the initial stages of the Big Bang or Creation to the distances, brightness, sizes, and temperatures of our universe, galaxy, and Solar System, and even through the design of our DNA and the time-lime of our history. Acknowledging that compounding statistical results across dozens of test analyses would cause unfathomable results, we only present them one criteria at a time, and in this way the staggering probabilities remain independent and do not influence one another.

It is at that point that we can truly acknowledge that the Alef-bet and the computational structure of our universe and existence must have been created simultaneously and by the same Source and/or Creator. Whether divinely simulated or a true physical reality that is run as a program makes little difference since the rules of engagement are the same, and the access to understanding runs through the same Cosmic Interface Language that converts the fields of the primordial matrix code into processable dialogue and into transferable information conveyance.

These are the codes and the algorithms.

        Table of Contents

• Introduction

• Part I

• The Exponential Curve
• Stipulations
• Profound Correlations to the 1.313^x Exponential Curve
• Why 22 Letters?
• A Primal Connection
• Information Conveyance

• The 22 Names

• The Odd/Even Split
• Phi (φ) and the 22 Letters and their 22 Names
• Phi (φ) in the 22 Names
•                The First Phi (φ) Cascade
•                The Second Phi (φ) Cascade
• The Balance of the Initials and the Backs of the Names
• Pi (π) and the Circle of the 22 Names
•               The First Pi (π) Cascade
•               The Second Pi (π) Cascade
•               The Pi (π) Phi (φ) Cascade
• The Embedded Phi (φ) Angles
• The Deeper Dynamic of the Circle of the Alef-bet
• The 22 Names as Frequency
• The Puzzle of 42
• First Rectangular Geometry
• Statistical Probability
• The Informative Sets Within

• Rectangular Geometry

•                 Second Rectangular Geometry
•                 Third Rectangular Geometry

• Triangular Geometry

• Cubes

• A Little Bit of Embedded Magic
• The Sarah Matrix
• Correlating Cubes
• The Concepts Within the 12 Cosmic Puzzle Pieces
• Parallel Odd/Even Shifts
• The Signature

• Part II

• The Set of 22 Names Within Pi (π)

• The Primal Frequency (27.5 Hz) and Pi (π)

• The Primal Frequency, The Earth, and the Alef-bet
• Euler’s Number
• The Divine Inflection Point

• Creation, Life and the Field of Pi (π)

• Mirrored Symmetry

• Between Creation in the Torah and Pi (π)
• The Tau Symmetry
• Within The 27 Letters of the Alef-bet
• Symmetry Across the Alef-bet – the Prime Numbers – Pi (π)
• (Transcendental Symmetry)
• 26 Generations
• The Unique Normal Near-Perfect Magic Essential Cube of Creation of Constant 42
• Same Symmetry – Two New Sets of 22 and 27
• The Entwined 42-Letter Name Matrix
  • The Range of the Alef-bet
  • The Kaprekar Constant
  • The Cohort Alignment
  • Pi (π) and the 42-Letter Name Matrix
  • The Koch Curve
• A Hidden Pattern
• A Shocking Prime Number Association
• The Core Essential Prime Numbers of Creation and the 42-Letter Name Matrix
• The Associated Prime Numbers
• The Symmetry Across the Backs of the Names
• The Interlocking Fields of (π), Phi (φ) and the Prime Numbers

• Part III

• The Torah and the Physical Universe

• The 27 Letters and the Cosmic Harmonic Residue (.273)
• The Circle of Creation: Geometric and Arithmetic
• Fundamental Geometry and the Names of G-d
• Symmetry and Concatenation Above and Below the Curve
• Supernatural
•                     6 – 7
•                     The First Prime Cohort
• The Boundary Limit
• Heaven and Earth
• The Adam and Eve Ratios
• The Prime Torah Boundary
• The Threshold of Consciousness
• The Computational Universe

• Summary

• Part I Summary
• Part II Summary
• Part III Summary

• Conclusion

Part I

The Exponential Curve

In previous articles we have seen that because of 3-dimensional nature of physicality and the base 10 nature of our universe with its inherent and underlying mathematical system, the core computational aspects of our universe are segmented into cohorts of 10³ or 1000, including notably the sets of Prime Numbers and of Pi (π). We will touch on those again because it is critical in how certain encoded information is conveyed to us and it reflects the structure of the Alef-bet.

This is why the 9 triplet-rep-digit (111, 222…999) cohorts of the 27 Letters of the Alef-bet were designed to go up to 999, not by Man, but by the inherent nature of our mathematical system.  This is also why the standard values of the 27 Letters of the Alef-bet Binah Contract from 4995 to (4 + 995) = 999 as they maintain 3 decimal places, just like the average weight of the 4 nucleotides of our RNA, which is precisely 499.5 g/mol. It is also why the 999 digits or 333 numeric triplets after the initial 3 in Pi (π) Binah Contract from their sum (141 + 592…198) = 166,107 to (166 + 107) = 273, as in the Cosmic Harmonic Residue (.273) or (4/π – 1) that our Universe and most prevalently our Solar System is scaffolded upon. We will explain these concepts in due course; however, Binah Contraction is a Number Theory concept whereby we break down a number or in the case of gematria, the numerical value of a word, into natural 3-digit segments and add them together repeatedly until we are left with a single 3-digit number. When this process is extended to the sequential powers of the original number, the resultant Binah Contraction will always settle into a repetitive cycle with notable comparable and informative results, as we have previously proven using the values of the First Words of the Torah.

Nonetheless, using the ordinal values of the Letters as the exponent variable, the standard values of the 22 Letters of the Alef-bet perfectly fit the exponential curve 1.313^x of Constant 1.313, as in the year 1313 BCE (2448 HC) when the 10 Commandments and the Torah were received at Mt Sinai 3338 years ago. Since the sum of those 22 Letters and/or 22 Initials of the 22 Names of the Alef-bet equals 1495, this also aligns with the first time that the numeric string …1313… is found within Pi (π) at digit #14956.

While the established values of the Letters can be neatly fit into an exponential curve of 1.313^x, most of them are off the curve by a cyclical set of percentage variations that groups into sets of 9 Letters with a periodicity of 9. By flipping the graph as a mirror onto itself it is easier to see the natural progression of the spiraling percentage variation.

Its slope at any given Letter is found by taking the derivative with respect to its ordinal values, as per below. Within it we see that it is dependent on an approximation of the Cosmological Harmonic Residue (.273) or (4/π – 1), the significance of which will explain later.

And the slope between any two points in the curve can be determined by the slope function, which for 0 – 22 works out to 18.126:

Ordinal	Letter	Slope
1	Alef	0.358
2	Bet	0.469
3	Gimmel	0.616
4	Dalet	0.809
5	Hei	1.063
6	Vav	1.395
7	Zayin	1.832
8	Het	2.405
9	Tet	3.158
10	Yud	4.147
11	Caf	5.445
12	Lamed	7.149
13	Mem	9.387
14	Nun	12.325
15	Samech	16.182
16	Ayin	21.247
17	Pe	27.898
18	Zadi	36.63
19	Koof	48.095
20	Resh	63.149
21	Shin	82.914
22	Tav	108.867
253		455.54

Within this chart of the 22 derived slopes there are several notable concatenation points that would come up in any in depth discussion of Torah gematria including .358 for the First Letter Alef (א), which is the numerical value for the Hebrew Word Moshiach (משיח), meaning “Appointed One” or Messiah, and the slope of the 15^th Letter Samech (ס) that is 16.182, or essentially the Constant Phi (φ). Meanwhile, the total for the set of 22 Letter slopes is 455.54, as in the sum of the values of the 3 Aspects of the expanded Name of higher Consciousness Ehyeh (אהיה) or (143 + 151 + 161) = 455, and as in the Path of One (1 – 13 – 91 – 455 – 1820), a core Concept of the Torah based on the value 13 of Echad (אחד), meaning One (1). These concatenations are significant, but for now we will consider them as only contextual.

The continuous deviation from the 1.313^x baseline curve follows a cyclical period of 9, hence this periodic fluctuations can be graphed as sinusoidal wave function, whereby the amplitude (A) ≈ .274, as in the approximately the Cosmological Harmonic Residue (.273) again, and the phase shift (φ) ≈ -1.16 rad.

The graph looks like this:

Then using simple calculus or more specifically integrals we can determine the area under this curve bounded by both the sets of the 22 Letters and the 27 Letters derived from the curve. We can also use it to determine the value of the area under the curve from one letter to the next (0 – 1, 2 – 3 … 26 – 27).

What we find is that the difference from the sum of the standard 22 Letter values and the area under the curve is only (1495 – 1464.417) = 30.5831, or 2.045% of 1495, while the difference in the percent variations of the 22 segments of the areas beneath the curve from the values of the curve is a total for the 22 variations of 130.0%, yet again connecting the Alef-bet to when the Torah was received at Mt Sinai of numerical value (130) in 1313 BCE and to the Concept of Echad (אחד) of numerical value 13, meaning One.  It also connects it metaphysically to our DNA whose average atomic weight for its 4 nucleobases, Adenine (135.13), Guanine (151.13), Thymine (126.11), and Cytosine (111.1) is (523.47/4) = 130.8. Moreover, while the nucleotide Cytosine has an atomic weight of 111.10 g/mol as in the concept of One (1), Echad (אחד), and as in the First Hebrew Letters, Alef (אלף) of numerical value 111, their collective atomic weight 523.47 g/mol divided by their 4 Hebrew Initials (אתכג) for ATCG is (523.47/424) = 1.23456789, while 424 is the value of a critical Core Concept woven in the Torah, that of Moshiach Ben David.

For contextual reference only, we point out that for the 27 Letters, their collective area under the curve is (5725.295 – 5708) = 17.29494 more than the year Israel became a nation in 5708 HC, while 1729 represents the number of Words in the Torah with the numerical value 26, as in the value of the YHVH (יהוה), and that 17.3 or 173 is the numerical value of the gematria Katan (digital) value of the 42-Letter Name Matrix associated with the First 42 Letters of the Torah.

Nevertheless, simply mathematically, while the sum of the 27 percentage variations from the curve of the 27 Letters equals a total of 42.7%, the ratio between the sum of the 22 Letters and the 5 Final Letters (ךםןףץ) that change form and make up the balance of the full 27 Letters is likewise (1495/3500) = 42.7%. This indicates that there is an inherent design equilibrium in the valuation system of the 22 and 27 Letters.

Moreover, using integrals to determine the area under the 1.313^x exponential curve of the 22 Letters that are the initials of the 22 Names of the Alef-bet, the ratio of the area beneath the curve to the bounded area above it is (1464.417/(8800 – 1464.417)) = .1997 or approximately .2, a 1/5^th ratio. Whereas the ratio of the area beneath the curve to area displaced by the rectangle of the curve or (22 x 400) = 8800 is .1665 or 1/3^rd the sum of the standard 27 Letters of the Alef-bet, as (1665/4995) = 1/3.

Then when we only consider the area displaced by the 22 Letters as the squares of their ordinal values we get (1² + 2² + 3²…22²) = 3795, which gives us a net area above the curve of (3795 – 1464.417) = 2330.5831. While the difference between the two sets of total areas considered is (8800 – 3795) = 5005, the ratio of the area beneath the curve to the individually bounded area above it is (1464.417/2330.5831) = .628348 or approximately (2 x 3.14159) = 6.28319 = 2 Pi (π), the Constant tau.

As we are about to see both the 22 Initials and the 22 Names of the Letters from which they are derived are scaffolded upon and reducible to the same Constant tau or 2Pi (π). The ratio changes from curve to curve and from where the curve is bounded, so this near perfect ratio only happens when this specific curve is bounded by specifically by “0” and 22, meaning that as other significant undeniable alignments between Pi (π) and the Alef-bet are found within this 22 Letter set, we can conclude that their valuation system was designed to specifically have 22 Letters, and to be based on frequency, or the sine wave generated by the unfolding circumference of a circle, or 2Pi (π) radians.

Stipulations

This brings up five stipulations we must use by necessity in these analyses. First, when searching for location collations within the field of Pi (π) we will start with the initial digit 3 unless stipulated otherwise, but we will never switch perspective within the same sets of data points or when comparing like sets. Both variations of starting with the 3 or immediately after the decimal place are logical and valid and gives the computation universe double the opportunities to convey information to us. Second, when searching for locations within the field of Pi (π), we will only use and/or indicate the first time the numeric string appears, with the lone exception of when we want to highlight that a particular string or set of strings appears multiple time within the first cohort (first 1000 digits) of Pi (π), and then too we will indicate the first time. Third, because limiting a numerical string search to within a digit location boundary equal to its value severely limits the process, we allow the search to proceed until the first match occurs and consider it noteworthy if the location contains the exact numeric string within its first digits. The exception is if it occurs within the first cohort (first 1000 digits) of Pi (π) and there are other significant and relevant correlations. Moreover, just because we consider it noteworthy does not mean we consider it as proof of anything, only that with additional observations it may tie into an evolving pattern. Fourth, when dividing values concerning the Alef-bet, we must round off to the nearest integer or truncate, because there are no partial Letter values. Fifth, when the results of mathematical operations have decimal answers, we calculate the answers as far out as the accuracy of our data provide yet round off or truncate the answer to as far out as we have relative noteworthy correlations to our data set with the intention to extend it as far as possible. We may be cutting off more relevant digital alignments or presenting a bias by eliminating what we perceive to be unrelated or irrelevant additional results; however, our intention is to convey comparative relevance, and like the two accepted options of the starting point for Pi (π), the option to truncate or round off doubles the chance for the computational universe to convey relevancy.

Profound Correlations to the 1.313^x Exponential Curve

As context for where the computational alignments of the Alef-bet cross into the spatial design and structure of our universe and similarly with that of the Torah, we see that while the Binah Contraction of 1313 is (1 + 313) = 314, as in Pi (π), the first time the digital string …1313… is found within Pi (π) is at digit #14957, in alignment with the sum of the 22 Letters of the Alef-bet, or (1 + 2…400) = 1495. This further aligns with the ratio of the speed-of-light in miles per hour to the current estimated speed that the Sun is orbiting the center of our galaxy, or approximately (670616604/510700) mph = 1313.1322, while the Milky Way hurtles through space at 1,300,000 miles per hour in this symmetric computational universe.

As detailed in previous articles, this is like the 8^th Cohort of the Prime Numbers for the 1000 integers from (7001 – 8,000) where the percentage difference from the Natural Log curve that the distribution of the Prime Number closely adhere to is (LN (8000) – (8000/1007))/(8000/1007) = 13.13, as in the Constant of the exponential curve of the Alef-bet (1.313^x), along with the year of the Exodus and/or the reception of the 13 Verses of the 10 Commandments in 1313 BCE at Mount Sinai (סיני) of numerical value 130, at the 107,000^th Letter of the Torah in the 70^th Chapter of the Torah. They begin with the Name Anochi YHVH (אנכי־יהוה) “I am G-d,” of numerical value 107, as in the total distance of the planets in our Solar System from the Sun, 107 AU, and as in the 107^th Triangular Number, 5778, which is both the Sun’s surface temperature of 5778 K, and the corresponding height of the acoustic wave at 5778 uK². This was the peak variance (5778 uK²) from the CMB (2.73 K) at the phase moment of Creation, 380,000 years after the Big Bang when the universe underwent a dramatic phase transition known as recombination and photon decoupling, creating and freezing the Cosmic Microwave Background (CMB), which allowed light to travel freely through space for the first time.

That signature of Creation, 5778, is found 3 times within the first cohort or 1000 digits of Pi (π), and while the chance of any 4-digit string being found in any specific cohort is 1/10,000, not only do we find 3 of them, but we find their Western Calendar equivalent or boundary point, 2019 CE (5778-9 HC), 3 times within the first cohort as well. That they occur together is a given; however, the odds of finding any 4-digit string, such as our target string 5778 occurring in a random set of 1000 integers or 997 overlapping 4-digit windows is using a Poisson approximation (λ = 0.0997), the chance of seeing it 3 times is 0.000153, in other words we would expect this to happen in 1 out of 6536 random sets. The same probability occurs for finding the secondary target string 2019 also 3 times. However, finding them together the probability drops to (0.000153)² = .00000235 or less than 1 in 42.5 million.  For perspective, the 3 locations for the first appearances within the Field of Pi (π) for its counterspace complement (10000 – 5778) = 4222, are digits #s 12485, 39239 and 55684 after the decimal place, a total of 107408.

Moreover, the sum of both sets of their 3 locations for those informative numeric strings after the decimal place is digit #s (632 + 947 + 953) + (244 + 702 + 995) plus the Kolel (3) = (4473 + 3) = 4476, as in the sum of the 1000 digits after the decimal place, 4476, lending credence that both sets of these 40-digit strings were meant to be included within the first cohort or 1000 digits of Pi (π) and strengthening the probability factor that this was not random chance. As will be explained later, for multiple reasons it was also necessary that both juxtaposed sets be present together, thus making this is a true a priori test and not post-hoc data-selection, yet as proof of anything we will set it aside for the moment.

A Kolel is an acceptable additional value equal to a logical number of elements in an equation. Equations without a Kolel are at a higher correlative value and the smaller the Kolel the better, so we present them not as proof, but as relevant context only. As will be explained later, there is a similar highly relevant equation with the 2 sets of these locations starting with the Initial 3 of Pi (π).

Yet all this is just context and examples of how information is preserved and conveyed to us across 13.7 billion years, forever available for us to interact with through simple observation, the various branches of mathematics, and through the Cosmic Interface Language, Hebrew. And while extremely compelling and thought provoking as originally intended, it is evidence and not proof.

		Prime	Cumulative	Ratio	LN	%
Cohort	Integers	Numbers	Prime #s	P#s/Integers	Integers	Ratio-LN
1	1000	168	168	5.95238	6.907755	0.1605
1001	2000	135	303	6.60066	7.600902	0.1515
2001	3000	127	430	6.97674	8.006368	0.1476
3001	4000	120	550	7.27273	8.29405	0.1404
4001	5000	119	669	7.47384	8.517193	0.1396
5001	6000	114	783	7.66284	8.699515	0.1353
6001	7000	117	900	7.7778	8.853665	0.1383
7001	8000	107	1007	7.94439	8.987	0.1313
8001	9000	110	1117	8.05730	9.10498	0.1300
9001	10000	112	1229	8.13670	9.21034	0.1320
	55000	1229	7156	73.85535	10.91509	0.42015
	Average:			7.68586
			Inverse:	0.13011
	7156	/	55000	= 0.13011

 Why 22 Letters?

Common thought is that the 22 Letters evolved over time from Proto-Canaanite pictographic symbols based on hieroglyphics and eventually settled on 22 squiggles in random order, and that the gematria valuation system that we are exploring came from the Greeks and spread to Hebrew in the 1^st Century BCE.  As we anchor the Hebrew Letters in the Torah and show that every aspect of the Torah was constructed using specifically the 22 Letters of the gematria system in sequential order, 13 centuries earlier, the common misconceptions of the Alef-bet’s origins dissolve, especially since at the time of the Torah’s reception according to classic archeology Hebrew did not exist and would take another 6 centuries or so to evolve from the pictures above.

Given the exponential curve based on the 22 Letters, it is a logical assumption that there might be a mathematical precedent for there being 22 Letters since a counting system that stops at 400 makes no sense, even abstractly.  It thus appears that having 22 Letters in the main Alef-bet is not arbitrary, since in the base 10 mathematics necessary for that exponential curve, it takes exactly 22 steps to descend by 10% increments to the next order of magnitude (i.e. from 1000 to 100, or 100 to 10, or from 10 to 1).

It is notable that it takes 26 steps in ascension (i.e. 1 to 10, 10 to 100…), as in the numerical value of the Name YHVH (יהוה) and the 26 Generations of Adam in the Torah, and that in the first 22 steps of ascension we reach 74.00% of the way to the next order of magnitude. Thus, in going from 10 to 100, we can reach a maximum height of 74.00 in 22 increments, which aligns with both (2 x 37) = 74, as in the Core Essential Prime Number of Creation and of our DNA, 37, and with the counterspace to (100 – 74) = 26, the value of the YHVH (יהוה).

It also aligns with the core block or functional group of each of our 20 Amino Acids, which consists of 74 nucleons for a total of (40 x 37), and which incidentally reaches a maximum of 130 nucleons for the 20^th Amino Acid, Tyrosine.

	10
1	9		10	1
2	8.1		11	2
3	7.29		12.1	3
4	6.561		13.31	4
5	5.9049		14.641	5
6	5.31441		16.1051	6
7	4.782969		17.71561	7
8	4.3046721		19.487171	8
9	3.87420489		21.4358881	9
10	3.486784401		23.5794769	10
11	3.138105961		25.9374246	11
12	2.824295365		28.5311671	12
13	2.541865828		31.3842838	13
14	2.287679245		34.5227121	14
15	2.058911321		37.9749834	15
16	1.853020189		41.7724817	16
17	1.66771817		45.9497299	17
18	1.500946353		50.5447028	18
19	1.350851718		55.5991731	19
20	1.215766546		61.1590904	20
21	1.094189891		67.275	21
22	0.984770902		74.0025	22
	91.13706188		81.4027494	23
			89.5430243	24
			98.4973268	25
			108.347059	26
			1091.816754

The sum total for the 22 steps or 22 iterations is 91.13706188, as in the Fine Structure Constant 1370 and as in 3 of the elements of the Path of One (1 – 13 – 91 – 455 – 1820 – 6188) extensively built into the Torah and based on consecutive cumulative summations of the first 13 positive integers, in other words, the value of Echad (אחד), 13, meaning One, as in G-d is One.  The first hint that these are valid concatenations with the 22 Letters and not Texas Sharpshooter pattern recognition is that the 22 slopes from the 1.313^x exponential curve of the Alef-bet add up to 455.

1	1	1	1
2	3	4	5
3	6	10	15
4	10	20	35
5	15	35	70
6	21	56	126
7	28	84	210
8	36	120	330
9	45	165	495
10	55	220	715
11	66	286	1001
12	78	364	1365
13	91	455	1820
91	455	1820	6188

The ascending illustration above is from 10 to 100, yet it is the same for any order of magnitude jump such as 1 to 10, where the total is 109.1817654; therefore, the average for the descending and ascending scales is (91.13706188 + 109.1817654)/2 = 100.1594… and their difference is (109.1817654 – 91.13706188) = 18.044704. As we will see, this resultant number that is built into the fabric of the base 10 computational universe is quite significant and informative.

A Primal Connection

אבגדהוזחטיכלמנסעפצקרשת

From א to ת and 1 to 400.

1-2-3-4-5-6-7-8-9-10-20-30-40-50-60-70-80-90-100-200-300-400

So, the 22-Letter design for the Alef-bet has mathematical providence and inherency and is yet another reason that we can take the Letters individually or as a complete set of 22, especially given that the set of the 22 incremental steps aligns with the Path of One that is based on the number 13 and with the 22 values of the Letters of the Alef-bet that are based on the exponential curve of Constant 1.313.  Few subjects are more intriguing or connected to the essence of Number Theory than Prime Numbers, so it is indeed relevant if they can align with the 22 Letters of the Alef-bet in a significant manner. When we add 22 for the 22 elements in the set to the sum of the 22 Prime Numbers individually associated with those 22 values from 1 to 400 or 32857, we get an average of (22 + 32857)/22 = 1495, as in the sum of the 22 values of the 22 Letters.  In determining the corresponding Prime Numbers, and to ensure a deeper level of complexity and cosmic understanding to whoever designed the Alef-Bet we are employing the same 2-step algorithm that we will be using throughout this paper. Step one is to look up the corresponding digital locations within the Field of Pi (π) that corresponds to the set of 22 standard values of the 22 Letters and step two is to associate them with their corresponding rank within the set of all Prime Numbers to arrive at new set of 22 associated Prime Primes.

So, while suggests a perfect knowledge of at least the first 1175 digits of Pi (π) and the first 1175 Prime Numbers, it is highly unlikely to be coincidental since the sum of the set of 22 locations within the Field of Pi (π) is 4492, or exactly 22 less than (4492 – 22) = 4470, which is the exact sum of the first 1000 digits of Pi (π), 4470, and which is represented as a numeric string within the resultant 18.044704 difference between the ascending and descending scales inherent to the base 10 design of our universe. As a starting point, it is an excellent indication of intelligent design and intent, far beyond that of Man 3338 years ago, or even Man before 1948, when using a mechanical calculator first deciphered Pi (π) to 1000 decimal places. The larger question is how anyone before the moment of Creation could pre-arrange the locations for the set of the 22 Letter values within Pi (π) so that they would perfectly align with the Prime Numbers, etc.? Our premise is that if we find enough of these 2-step algorithmic alignments with different basic variations of the 22 Letters and their Names we will exponentially minimize any statistical chance of coincidence.

Ord Val	Value	Within Pi	PN
1	1	2	3
2	2	7	17
3	3	1	2
4	4	3	5
5	5	5	11
6	6	8	19
7	7	14	43
8	8	12	37
9	9	6	13
10	10	50	229
11	20	54	251
12	30	65	313
13	40	71	353
14	50	32	131
15	60	128	719
16	70	97	509
17	80	85	439
18	90	248	1571
19	100	855	6619
20	200	601	4421
21	300	973	7673
22	400	1175	9479
253	1495	4492	32857
22		-22	4492
275	32857	4470	37349
	22		22
	32879		37371
	/22		2
1495	1494.5		37373
	Average

This tight correlation definitely exists, but to test whether it could occur randomly or accidentally, we can test the matrix against similarly bound randomly generated control sets of 22 integers between 1 and 400. And since we are adding the same target number 22 to each set, we can treat the set total of 4492 and 32857 as our targets. For the purposes of this test probability, we will ignore the rest of the concatenations and test only for a target of 4470 +/- 22 for the Pi (π) set, and for the average of the Prime Number set to equal the sum of the 22 random Letter values.

Given those limited constraints, there are 8.692 x 10³⁵ possible combinations of 22 unique values randomly selected between 1 and 400.

The expected random average population mean (μ) is 950 so the average sum would be (22 x 950) = 20,900 and standard deviation works out to 4563. Then given a calculated Z-score of –3.60, which means the 22 Pi (π) location sets sums to 3.60 standard deviations below the statistical mean, the probability of hitting the target of 4470 is 1/11400.

Then combined with the conservative probability of the average of the Prime Numbers hitting the target of the sum 22 random numbers within 0.5 or 1/1500, we get a total probability of 1/(8.6922 x 10³⁵) x 1/11400 x 1/1500 = 1/(1.4864 x 10⁴³) or about 6.728 x 10^-44, meaning that there is 1 in 14.86 tredecillion chance of this occurring without the intervention of intelligent design.  From here on in, we will not show the standard deviation details, but they will be available to anyone who must see them.

That insane probability assumes limiting the values for the Alef-bet as between 1 and 400, which we only picked to help level out the playing field. They literally could have been anything. However, if we also limited the total of that 22 random selection set to 1495, the same as the Alef-bet, which is far from a blind control test, the odds reduce to a still unfathomable 1 in 12.02 nonillion or 8.319 x 10^-32, meaning that not only was the Alef-bet of purposeful intelligent design in every aspect, but the probability is (1/11400) x (1/880) = 10,032,000 to 1 that it was a coordinated design with the digits of Pi (π) and with the set of Prime Numbers.

Information Conveyance

The following section contextualizes and enriches the matrix above yet does not contribute statistically or otherwise to the proof whatsoever, though it is difficult to imagine how they could not be part and parcel of the same design.

To add context to the already wonderful results from this first application of the algorithm, the we see that both the 22 standard values of the 22 Letters and their 22 associated first Pi (π) locations Binah Contract from 1495 to (1 + 495) = 496 and from 4492 to (4 + 492) = 496 respectively, as in the numerical value of the Hebrew Word Malchut (מלכות), meaning kingdom, and signifying the lowest level of the Tree-of-Life, representing the physical world that we inhabit.  It is simply information conveyance and worthy of observation because why bother making these extraordinary alignments if not to transfer information through them. In ancient esoteric parlance Malchut is the 1-dimension reflection of the 8^th dimensional hyperspace consciousness network that houses the computational universe, called Binah. Within Binah space is folded into 3-dimensional units or cohorts of 1000 or 10³, hence the nomenclature Binah Contraction. We will not be exploring the dynamics of that system in this paper as we have done elsewhere and instead concentrate on the aspect of the Alef-bet and how it integrates with a computational universe.

Through observing the resultant data set, we notice that 21 of the 22 Pi (π) associations fall within the first 1000-digit cohort with only the 22^nd or last one beyond it, when this did not have to be the case. For whatever reason this aligns with the set of 21 Letters of the Alef-bet that are found collectively in the Torah exactly 300,000 times.  Also, while the Binah contraction of 22^nd Letter association 1175 is (1 + 175) = 176, as in the 176 Verses in the longest Torah Portion, Parsha Naso, the sum of the data points for the 22^nd Letter is (22 + 400 + 1175 + 9479) = 11076 in comparison with the rest of the 21 sets of data points or (21 x 4) = 84 in total that equal (253 + 1495 + 4492 + 32857) – 11076 = 28021 for an average of (28021/21) = (1333.333 + 1), while as crazy as this seems the ratio of the 21 Letters to the 22^nd Letter across all 4 data sets is (28021/11076) = 2.5299 or 2.53, as in the 22^nd Triangular Number and sum of the 22 ordinal values. It is already feeling a lot more like intelligent premeditated primordial design than pure coincidence.

Given the set of 21 Letters found collectively exactly 300,000 times in the Torah, as in the numerical value of the 21^st Letter, Shin (ש), 300, the possible information encoded above may reference the excluded Letter from the set, the 17^th letter Pe (פ), found 4805 times out of the 304805 total Letters in the Torah. While the direct exponential value of 1.313²¹ = 304.480, and the cumulative exponential value of the first 21 Letters is 1273.0, as in the Cosmic Harmonic (1.273) or (4/π), the value of (21 x 1.313) = 27.573, as in the important concept of the Primary Frequency (27.5) that we will explain shortly, along with the 21^st Prime Number, 73, which represents the Triangular value of the First Verse of the Torah, which will also be explained shortly.

Nonetheless, the value of those 4805 Letters Pe (פ) is (80 x 4805) = 384,400, as in exactly 620². Metaphysically, it is the square of the numerical value of the highest of the Sefirot (dimensions) of the Tree-of-Life, the dimension of Keter (Crown) where only the undifferentiated Creator exists. Physically, it is the exact distance between the Earth and the Moon in kilometers, 384,400 km, while these two Letters, the 21^st and 17^th have standard values of (300 + 80) = 380, or (1000 – 620) = 380, which is the numerical value of Egypt (מצרים), from which the Exodus happened after 210 years, ending in the year 1313 BCE.

This is the perfect example of how the computational universe conveys information to us about our timelines, the physical structure of our universe and its relationship to the metaphysical one using a minimal number of well-placed digits and filtering them through the Cosmic Interface Language, Hebrew.  Since all mathematics is abstract and occurs outside the boundaries of our minds it can be said that it is all metaphysical; nonetheless, we gave the above as an example and will keep those examples to a minimum. While we will point out key intersections with our physical universe in this paper, we already have hundreds of articles and thousands of pages available to anyone interested in the metaphysical reflection of our computational world including the Tree-of-Life structure of Conscious reality.

The 22 Names

The Odd/Even Split

The 22 Letters of the Alef-bet can be naturally split into Odd and Even Letter sets based on their sequential ordinal values, giving the 11 Odd-Letter set a value of 625 while their counterparts, the 11 Even Letters have a collective value of 870.

[בדוחילנעצרת][אגהזטכמספקש]

[         870           ][        625       ]

The Alef-bet is designed so the Katan or reduced digital value of its ordinal values equals its Katan or reduced digital value of its standard values. For example, the 12^th Letter value reduces to (1 + 2) = 3, while 30 also reduces to (3 + 0) = 3. This holds true for the individual Letters, yet not necessarily for Letter combinations such as Names or Words, which gives those Words an added degree of uniqueness, which is why the First Verse of the Torah has a Katan (digital) value of 82 and an ordinal one of 298, as in (82 + 298) = 380 again.

One of the unique and special qualities that arise from the set of 22 Letters is that while the collective sum of their Katan (sum of the digits or digital) values equals 100, the sum of their odd-even paired up Katan (digital) values equals (12 + 34 + 56 + 78 + 91 + 23 + 45 + 67 + 89 + 12 + 34) = 541, the numerical value of “Israel (ישראל),” which is not only the 100^th Prime Number, but is found exactly 625 times in the Torah, as in the sum of the standard values of the subset of the 11 Odd Letters.

While these are only the Initials of the 22 Names of the Alef-bet, we see that when the 22 spelled-out Names are similarly divided into Odd and Even Name sets, the 11 Even Names add up to 2626, or double the 26-value of the YHVH (יהוה) and twice the 1.313 exponential Constant of the Alef-bet. Meanwhile, (22 x 1313) = 28886, which is likewise (11 x 2626), as in the sum of the Names of the 11 Odd Letters out of the complete set of 22.

To be clear, while the Initials of the Names must match the 22 Letters, the backs of the Names could have been anything and of any length or value; they were determined long ago based on the projected pronunciation of the Letters, in other words through sound and frequency. So, while the values of the Names should be and at first glance are random, as we will see they are anything but.

Given their origin, unless this pronounced frequency has a Divine or metaphysical Source, the perfect design balance displayed above is unlikely to have been an act of chance. Moreover, while 625 is the square root of the 390,625 Words, Letters, and Verses in the Torah, 13.132639022019 is their 5^th root, reflecting a reflective symmetry with the Alef-bet that fills in those 390,625 or exactly 5⁸ positions in the main structure of the 5 Books of the Torah.

As for the value 870, it is the complement to 130, as in (1000 – 130) = 870, and it relates quantitatively to the 6 and 7 Days of Creation as laid out in the First 31 and 34 Verses of the Torah. The P/S or Product/Sum Number Theory algorithm for the 1815 Letters of the 7 Days of Creation joined with the 1671 Letters of the 6 Days of Creation equals (1815 x 1671)/(1815 + 1671) = 870.0… as in the sum of 11 Even Letters or the Even half of the 22 Letters of the Alef-bet. Moreover, while not a proof, it is compelling that the sum of the 22 exponential values of the Alef-bet is 1672.849, as in (1671 + 1.849), while the 1815 Letters plus the 34 Verses that contain them equals (1815 + 34) = 1849.

Meanwhile, within the set of the values of the 22 Names of the Letters, we see that the 2 sequential Names Resh (ריש) and Shin (שין) add up to (510 + 360) = 870, as in the 11 Even Initials, while the 4 Names Alef (אלף), Hei (הי), Tet (טית), and Mem (מם) equal 625, as in the 11 Odd Initials, meaning that the 16 remaining Names equal 2753, the value of the 22 Back Letters of the 22 Names, the ones produced purely through pronunciation frequency, like the Primal Frequency (27.5 Hz).

	22		Even	Odd	Backs
	Names		Equivalent	Equivalent	Equiv
1	Alef	111		111
2	Bet	412			412
3	Gimmel	83			83
4	Dalet	434			434
5	Hei	15		15
6	Vav	22			22
7	Zayin	67			67
8	Chet	408			408
9	Tet	419		419
10	Yud	20			20
11	Caf	100			100
12	Lamed	74			74
13	Mem	80		80
14	Nun	106			106
15	Samech	120			120
16	Ayin	130			130
17	Pe	81			81
18	Zadi	104			104
19	Koof	186			186
20	Resh	510	510
21	Shin	360	360
22	Tav	406			406
253		4248	870	625	2753

This begins to illustrate the structural balance between the Letters and their Names or the numerical concepts from which they were issued. While the Letter values are definable through logarithms and a very specific exponential scale, and while the physical Letters are incorporated in the Names as their Initials, the values of those 22 Names should be only loosely associated with those Letter values. Even if we had foreknowledge that the sum of the 22 Names had an upper bound of 4248 and the 22 Letters had an upper bound of 1500, given the target relationships of just the fronts and backs of the 22 Letter Names and nothing else, not even the specific and significant target of 2753, the probability of this occurring randomly or accidentally is (10^-4 x 1/500 x 1/2000 x 1/4000) = 1 in 1.6 x 10¹³ or 1 in 16 trillion, meaning it would have taken algorithms, deliberate design, and a highly structured mathematical framework to come up the 22 Names and the Letters that represent them. If there were no known boundaries, which in a truly random scenario there would not be, the possibility of stumbling upon this outcome would be statistically impossible.

Nevertheless, despite this intrinsic symmetry, harmonic balance, and mathematical design complexity, we will proceed as if there were still a possibility of random or accidental creation and/or that Man could have deliberately come up with the schematic of the 22 Names and their Initials.

[אגהזטכמספקש] = 625

[בדוחילנעצרת][אגהזטכמספקש] = 1495

[                  58%          ][            42%          ]   =   100%

.625 = 5/8 and 390,625 = 5⁸ and 870/1495 = (1 – .42) = 58%

And while the connection to the Days of Creation is only contextual, so is the symmetry in the total of the 11 Odd Letters being 625 and the square root of the 390,625 or 5⁸ Words, Letters, and Verses in the Torah also being 625, while .625 is the exact fraction 5/8 and the ratio between the Even Letters and the entire set of 22 Letters is (870/1495) = 58%. The real proof lies in the symmetry between the various sets of the 22 Names in repeated numeric and geometric alignment with Phi (φ), Pi (π), the Singularity or Source of 42, the basic geometric proportions, and ultimately the Fine Structure Constant, and then with a deeper integration with the set of Prime Numbers.

Phi (φ) and the 22 Letters and their 22 Names

As the values for the splitting of the Alef-bet have been ascertained to most probably be of purposeful design, we further see that the ratio of the 11 Odd Letters to the complete set of the 22 Letters or Initials is (625/1495) = .4180 or 42%, which is equivalent to (.6180 – .2000) or (1/Phi (φ) – 1/5), while the ratio of the 11 Even Letters to the complete set of the 22 Letters is (870/1495) = .5280 or .2000 more than 1/φ² = 1/2.6180339887… = .3820.

   42% = (.6180 – .2000) = (1/φ – 1/5)

  58% = (.3820 + .2000) = (1/φ² + 1/5)

  72% = (.6180 + .1004)

As previously explained in prior articles, this parallels the set of the 3820 Names of G-d in the Torah that consist of the 1820 Names YHVH (יהוה) and the 11 other Names of G-d in the Torah whose recurrences total exactly 2000, and that are likewise related to Phi (φ) in that 1/φ² = 1/2.6180339887… = .3820 and in that (10000 – 3820) = 6180, as in 1/φ = .6180.

Furthermore, the more precise ratio between the 11 Odd Letters and the 11 Even Letters is (625/870) = .718390805, containing the numeric string 390805, as in the 390,625 Words, Letters, and Verses in the Torah; the 304,805 Letters in the Torah; and the 805 Words, Letters, and Verses in the 10 Commandments that in turn align with the Ordinal Sofit value of the 22 Names, 805, and with the (390805 – 304,805) = 86,000 difference between the strings, as in the numerical value of the Name Elohim (אלהים), 86, the 3^rd Word of the Torah. Moreover, the Name Elohim (אלהים) appears in the Torah 313 of those 2000 times, giving them a total value of (313 x 86) = 26,918 or (27,000 – 82), which is 30³ less the Katan (digital) value of the First Verse of Creation.

One final note about the relationship between the 2 sets of Odd and Even Letters before we get into the 22 Names. The Odd/Even split of the letters in the Alef-bet are off by a value of 54 from the exact Phi (φ) proportion split. When the values are shifted by 54 units the .4180 becomes .6180 and the .7184 also become .6180 or 1/Phi (φ). Moreover, the square root of the complete value of the Alef-bet is likewise √(1495 + 253) = √1748 ≈ 41.80, which is also the sum of the cube roots of the 20 integers from 1 to 20 that equal 41.7999, or 41.8000, emphasizing the inherent symmetry and design along with the importance of the relationship between the values of the 22 Letters and their 22 Ordinal values, not to mention yet another alignment with the 20 Amino Acids or essential building blocks of our DNA, RNA, and Life.

If we were to apply the Phi (φ) proportion to the 1495 total value of the Alef-bet, the subordinate Even/Odd values would be split into (870 + 54) + (625 – 54) = (924 + 571) = 1495.

(1495 x .6180) = 924

(924 x .6180) = 571

                          1495

(625 – 54) = 571

(870 + 54) = 924

And like the annual cycle of the 54 Torah Portions, when the Odd/Even split in the Alef-bet is arranged in a 360^o circle, that shift of 54 units becomes a shift of exactly 13^o as in the 1.313 exponential Constant of the Alef-bet, and because circles are actually sine wave functions and because of the universal symmetry built into the Alef-bet, we see that sin 54^o = Phi (φ)/2.

 Phi (φ) in the 22 Names

The first signs of intelligent design in the 22 Names is that while the 2626 or the Even Letter portion of the 4248-value of the 22 Names is in the very approximate ratio of (2626/4248) = .618173 = 1/Phi (φ), and that while 1622 is approximately 1618 or Phi (φ), the ratio of the Even to Odd Names is (2626/1622) = 1.618998 or very approximately Phi (φ) again, off by (1.618988903 – 1.6180339887…) = 0.000954914. It can never be precisely Phi (φ) as the Letters are integers and not fractional, so the repeated inherent patterns based on Phi (φ) illustrated herein are close enough to establish either natural or designed intent. It is the same way that the ratios between the elements in the Fibonacci sequence that is proven to be based on Phi (φ) are always just approximations because they too are integers.

Moreover, while the 11 Odd and 11 Even Names are split into the perfect Golden Mean proportions, the ratio of the complete set of the 22 Names to the 11 Odd Names is (4248/1622) = 2.618 or Phi (φ)² and the ratio of the difference between the 2 sets of the Odd and Even Names, or (2626 – 1622) = 1004, to the whole set is (4248/1004) = 4.2311 or approximately Phi (φ)³, which is in further alignment with the difference between the ratio of the set of the 11 Odd Letters and the set of the 11 Even Letters with 1/Phi (φ), or (625/870) = .7184, as their difference is (.7184 – .6180) = .1004.

If we already knew that 22 Names and their 22 values, there would be 705,432 possible combinations, and 793 of them would land close to the Phi (φ) proportion, meaning that there would be a 0.11% chance for an 11/11 Odd/Even split to be in that proportion or 1 in 890, and because the prior structure dictated these results that over probability is now odds 1 in 4.2 x 10^-13 or 1 in 2.38 trillion. What this means is that if the Israelites 3338 years ago had a powerful computer and coding knowledge, etc. and they generated random 22-letter alphabets and matched them with random letter names under given divinely inspired boundary parameters (1500 and 4248) billions of times, it would successfully produce this exact matrix of interwoven properties only once in 2.38 trillion trials. Thus, the existence of these interlocking geometric markers is structurally impossible by random choice or random chance.

Moreover, if we assume no divine inspiration and work with what was linguistically logical and conservative for a semantic language model of 22 characters given that the names are based on the pronunciation of the initial letters and thus tends to be short and given that the valuations are meant to be used for counting their flocks, etc., our boundary of 1500 remains reasonable and a more logical upper boundary would be 4500 or 5000.  At a sum for the 22 Names as high as 4500, the resultant probability reduces to 1 in 53.7 trillion, and using 5000 as the upper boundary, they drop to 494 trillion to 1. Thus, as we explore the hidden mathematical and geometric nature and complexity of the concrete established 22 values of the 22 Names, we begin with the knowledge that within a broad, realistic linguistic envelope that would give us some total value up to 5000, hitting this specific matrix of interlocking traits is mathematically absurd to attribute to pure coincidence.

Even Odd

אלף בית

גימל דלת

הי ויו

זין חת

טית יוד

כף למד

מם נון

סמך עין

פא צדי

קוף ריש

שין תו

Even Odd

412 – 111

434 – 83

22 – 15

408 – 67

20 – 419

74 – 100

106 – 80

130 – 120

104 – 81

510 – 186

406 – 360

             (2626 + 1622) = 4248

There are 2 trails through the set of the 11 Odd Names that repeatedly or fractally reflect a dimensional spiraling tail in the Phi (φ) proportion. Alternatively, this can be viewed as ascending scales. Keep in mind that because of the various splits, we have already ascertained probabilistically that the order of the Names was intelligently designed and fixed as well.

Because the values of the Names are fixed and we know they had to have been designed, all the myriad mathematical relationships and information conveyance cannot add to the probability we have already established so the proof and question switches from a purely statistical “pure chance” model to one of data encryption, an information-theoretic framework. So, we will be exploring how efficiently this dynamic system of the Alef-bet transmits dense mathematical data, forming a metric of intentional information density. In Information Theory, the value of a message is determined by how much Shannon Entropy (uncertainty) it reduces and how much Surprisal (uniqueness) there is in the event. Given a random set of 22 values, they tell us little more than their face values, yet when a single set of 22 Names simultaneously carries phonetic speech, an exponential counting tool, structural sub-sums, and multiple dimensions of the Phi (φ) Ratio, the information density skyrockets. We are going to explore just how many multiple distinct geometric patterns embedded in this fixed, short string of characters there are and how much optimal data compression is in that density.

The fact that the algebraic relationships allow one set of numbers to mirror the Golden Ratio in four different ways simultaneously is not an accident—it means the baseline values were mathematically reverse-engineered to act as a multi-layered cryptographic key.

Changing a single letter in the phonetic spelling of the 22 Names causes this highly complex, multi-variable dynamic system to collapse and because of this fragility, or the mathematical tolerance for error is virtually zero, the set is classified in Information Theory as an irreducibly complex design. What we see is that by embedding the universal geometric constant of the universe—the Phi (φ) Ratio—directly into the foundational framework of the Alef-bet, the designer ensured that the code would be self-authenticating. A text can be forged, and history can be rewritten, but a mathematical constant embedded into the very phonetic names used to speak the language cannot be altered without breaking the fabric of math itself.

Thus, while occasionally bringing up specific probabilities, we will shift our analysis to Information Density (bits) and Structural Complexity, and every new layer of meaning discovered within the exact same 22 values that comprise this highly compressed data storage device will increase the Information Signature exponentially, proving a targeted transmission concealed within an intentional broadcast, rather than a lottery drawing of white noise. We will use the universal scientific framework of Information Entropy (measured in bits) to separate any meaningful, intelligent broadcast from random white noise, and in this system, 1 bit represents a clean 50/50-coin flip, whereby every single bit that we add to the score doubles the complexity of the design and thus cuts the chance of random white noise in half.

In this system the individual probabilities convert to bits, thus the 0.11% probability or 1/890 chance of the first Phi (φ) split of (4248/2626) gets converted into -log₂(0.001124) = 9.80 bits.

Given only the macro ratios highlighted so far and that the 2626 is twice the 1.313 exponential Constant of the Alef-bet and that 26 is the value of the Names YHVH (יהוה) and 13 is the value of Echad (אחד), One, and that the 275 in 2753 that came up twice is representative of the Primal Frequency (27.5 Hz), the baseline total system weight or score totals (9.8 + 12.9 + 14.2 + 17.1) = 54.0 versus 0 for the white noise of values that fall anywhere within the 1–500 boundary with no discernible patterns. This baseline weight of 54.0 breaks down to 9.8 for the macro geometric Phi (φ) architecture in the Odd/Even splitting, meaning 99.8% of random distributions had to be filtered out; 12.9 for the 625 and 870 targeted Letter sums and Name subsets; 14.2 for the exponential curse 1.313^x; and 17.1 for the concatenations with 13, 26 and 275. Thus, the baseline structure is 18 quadrillion times or 1.8 x 10¹⁶ more organized than random white noise within the same boundaries, and the Alef-bet, without looking any further, filters out random chaos to a degree of 2⁵⁴, which is in line with the density of a high-level cryptographic security key.

The First Phi (φ) Cascade

The first Phi (φ) trail starts with 4248 and descends spirally through the coordinates 2626, 1622, 1003, 619, 383, 235 before it runs out of Names to subdivide. The first chart below shows the integer progression from 147 through 4248, juxtaposed to the more precise results either starting from the 2626 Phi (φ) Even split, or the 1622 Odd Phi (φ) split. The chart below it shows the Name-by-Name composition of each subsequent turn of the Phi (φ) spiral.

	4248	4248
	2626	2626
1622	1622.96	1622
1002.45	1003.04	1003
619.549	619.915	619
382.902	383.128	383
236.647	236.786	235
146.256	146.342	147

 

4248

4248/φ

4248/φ²

4248/φ³

4248/φ⁴

4248/φ⁵

4248/φ⁶

4248/φ⁷

						Odd Set		Even Set				Odd Names Only
1	Alef		111		111				111		111
2	Bet		412				412
3	Gimmel		83		83				83
4	Dalet		434				434
5	Hei		15		15				15				15	15
6	Vav		22				22
7	Zayin		67		67				67		67		67				67
8	Chet		408				408
9	Tet		419		419
10	Yud		20				20
11	Caf		100		100				100				100	100
12	Lamed		74				74
13	Mem		80		80												80
14	Nun		106				106
15	Samech		120		120								120	120
16	Ayin		130				130
17	Pe		81		81				81		81		81
18	Zadi		104				104
19	Koof		186		186				186
20	Resh		510				510
21	Shin		360		360				360		360
22	Tav		406				406
253			4248		1622		2626		1003		619		383	235			147
					2626/φ		4248/φ		1622/φ2		1003/φ		619/φ	383/φ			235/φ
											1622/φ2		1003/φ2	619/φ2			383/φ2
					4248/φ2				4248/φ3		4248/φ4		4248/φ5	4248/φ6			4248/φ7
	Names:		22		11		11		8		4		5	3			2

This is a multi-level recursive fractal, known in Information Theory as Nested Routing Geometry. The system is not merely hitting Phi (φ) Ratio on a single macro-level split; it uses a highly compressed topology where the 11 Odd Names act as a self-similar engine, generating a cascading descent down the integer curve of the spiral across 7 consecutive iterations until it physically runs out of names to subdivide. Keep in mind that a standard random distribution has high entropy because once it is split, the sub-parts fragment into chaos, yet in the Alef-bet matrix, the sub-parts flawlessly preserve the exact same geometric instructions as the whole.

The chance of a random pool possessing a strictly bound, nested hierarchy where subsets are perfectly contained within previous subsets to match every consecutive integer step of the Phi (φ) progression spiral is spiral down to the units place is about 1 in 10,000 or (0.01%), which gives us – log₂ (.0001) = 13.3 bits of additional independent information weight, bringing our total to 67.3 bits or 162 quintillion times (1.62 x 10²⁰) more structurally organized than random white noise within those same boundaries, and this unbroken 7-tier nested fractal path is definitive proof of an overarching mathematical blueprint.

The Second Phi (φ) Cascade

The second Phi (φ) set that runs through the set of the 11 Odd Names instead starts with 4248/π = 1352 and then precedes as before with a progression of divisions by Phi (φ) until we run out of Names again. The reason we present this inherent pattern in this way is that later we will show that there is an entire other similar progression utilizing only Pi (π) that also branches through this specific 1352 starting point.

			Odd Set	Even Set		Odd Names Only
1	Alef	111	111		111	111
2	Bet	412		412
3	Gimmel	83	83			83	83	83
4	Dalet	434		434
5	Hei	15	15		15	15	15	15	15
6	Vav	22		22
7	Zayin	67	67
8	Chet	408		408
9	Tet	419	419		419		419
10	Yud	20		20
11	Caf	100	100		100			100	100
12	Lamed	74		74
13	Mem	80	80		80
14	Nun	106		106
15	Samech	120	120					120		120
16	Ayin	130		130
17	Pe	81	81		81	81			81
18	Zadi	104		104
19	Koof	186	186		186	186
20	Resh	510		510
21	Shin	360	360		360	360
22	Tav	406		406
253		4248	1622	2626	1352	836	517	318	196	120
			2626/φ	4248/φ	4248/π	1352/φ		517/φ	318/φ	196/φ
							1352/φ3	1352/φ4	1352/φ5	1352/φ6
							836/φ
			4248/φ2
	Names:	22	11	11	8	6	3	4	3	1

This second Phi (φ) cascade shifts the system from a single nested fractal into a Dual-Engine Geometric Cross-Over. In cryptography, finding a single mathematical constant encoded into any dataset, let alone a communication device such as the Alef-bet, is impressive, yet finding a transcendental bridge—where the universal geometric constant of a circle, Pi (π), is used as the exact numeric gateway to launch a second, independent Phi (φ) cascade out of the exact same 11 Odd Names—moves the system into the realm of hyper-dense data encryption.

When we simulate a random 11-value set, the numbers usually exhaust their combinatorial flexibility after satisfying one complex chain. Forcing the same numbers to dual-route into a completely different transcendental sequence requires a degree of precision that strips away the possibility of accidental white noise. Thus, the statistical distribution analysis indicates that forcing a secondary, distinct transcendental path out of a pre-constrained 11-element pool adds an independent 11.6 bits of information weight to the matrix, bringing the total structural density up to 78.9 bits. The system is now 565 Sextillion times (5.65 x 10²³) more organized than random white noise, and the Alef-bet is already behaving like a multi-dimensional matrix, whereby a single string of phonetic Names based on frequency acts as a prism separating multiple independent geometric constants cleanly.

The Balance of the Initials and the Backs of the Names

Even and Odd Initials: (870 + 625) = 1495

As explained, those 22 Names also have Backs to their Names, and these 22 sets of their backs are likewise divisible into the same 11 Odd and 11 Even sets.

Even and Odd Backs: (1756 + 997) = 2753

The ratios of the Odd Initial set and of the Back set to the complete set of the 11 Odd Names or respectively (625/997, 997/1622) are also very close to the Phi (φ) proportion, averaging .620777 vs .618033, while the ratios of the Even Initial set and its corresponding Back set to the complete set of the 11 Even Names or (870/2626, 1756/2626) are in the kabbalistic 1/3, 2/3 or .333 and .666 proportion inherent to the centroid or median intersection point of a triangle, in other words the structural center of mass in Triangular Geometry.

(1756 + 997) = 2753

(870 + 625) = 1495

(2626 + 1622) = 4248

Even the ratio of all 22 Backs of the Names to the complete 22 Names is equal to (2753/4248) = .64807 with 6.4807 being the square root of 42 and 2753 being 100 times the Primal Frequency (27.5) radiating at the Phi (φ) angle throughout the universe, which we will explain below.

Meanwhile, the set of the 11 Even Backs of the Names equals 1756 or (1000 + 756), as in 1000 plus the radiant Primal Frequency (27.5²) that equals 756.25. Not only do the 11 Initials of the 11 Even Names equal 870, but a set of the Odd Backs of the Names also equals 870, along with 3 different sets of the Backs of those 11 Even Names that equal 870, while the 2 consecutive complete Names, Resh (ריש) and Shin (שין), also equal (510 + 360) = 870.

			Odd Set:	Initials	Backs	Even Set:	Initials	Backs	Backs	Backs	Backs	Backs
1	Alef	111	111	1	110				110
2	Bet	412				412	2	410		410		410
3	Gimmel	83	83	3	80				80
4	Dalet	434				434	4	430		430		430
5	Hei	15	15	5	10				10
6	Vav	22				22	6	16		16
7	Zayin	67	67	7	60				60
8	Chet	408				408	8	400			400
9	Tet	419	419	9	410				410
10	Yud	20				20	10	10				10
11	Caf	100	100	20	80				80
12	Lamed	74				74	30	44			44
13	Mem	80	80	40	40
14	Nun	106				106	50	56			56
15	Samech	120	120	60	60				60
16	Ayin	130				130	70	60			60
17	Pe	81	81	80	1
18	Zadi	104				104	90	14		14		14
19	Koof	186	186	100	86
20	Resh	510				510	200	310			310
21	Shin	360	360	300	60				60
22	Tav	406				406	400	6				6
253		4248	1622	625	997	2626	870	1756	870	870	870	870

Meanwhile, the sum of the Backs of the 11 Odd Names that equal 997, represent the 168^th Prime Number, as in (4 x 42) = 168, which is part of the inherent symmetry of the 22 Names that are not only aligned with Pi (π) and Phi (φ), but with the Singularity of 42 as well. And if we take the 11 Backs of the 11 Odd Names and add the 4 Backs of the 4 Even Names Dalet, Yud, Lamed, and Zadi, the 15 Backs equal (997 + 498) = 1495, which balances with the 1495 value of the 22 Initials.

With this analytical breakdown, the data reveals a hidden internal grid within the system’s Back Letters (the phonetic bodies of the Names), thus shifting the analysis from a linear macro-level view to a deep cross-dimensional structural matrix, which is known in cryptography as Intra-Dataset Orthogonal Balance. The fact that the same pool of values can be sliced vertically (Initials vs. Backs), horizontally (Even vs. Odd), and dynamically (re-bundling subsets to balance unrelated targets) proves that the information density is tightly compressed.

Forcing 4 independent internal paths to arrive at the exact same 870-destination within the Backs, while simultaneously forcing a separate column (the Odd Backs + 4 selected Even Backs) to sum to exactly 1495 to mirror the total Initial Letter value, requires a hyper-precise interlocking grid and creates a combinatorial bottleneck. In a random distribution of numbers or values, if we pull out a subset that sums to a specific target, the remaining leftover numbers generally form highly asymmetrical, random values, thus statistically this adds 12.4 bits to the overall system weight.

Additionally, the frequency echo targets, which we will show to be of equal if not deeper importance, add another 9.5 bits, bring the new total weight to 100.8 bits, which is like a coin landing on heads 100 times in a row.  The Alef-bet Matrix is now 2.97 Septillion (2.97 x 10³⁰) times more organized than random white noise.

Pi (π) and the Circle of the 22 Names

The First Pi (π) Cascade

As per the table below, there are 8 Odd Names that equal 1352, and as we saw above, they subdivide multiple times into the Phi (φ) proportion, which is extraordinary because (4248/π) = 1352, effectively splitting the 22 Names of the Alef-bet into the Pi (π) proportion, the ratio of a circumference to a diameter. Then like we saw with the Phi (φ) cascade, when 1352 is divided or split again by Pi (π), we get 1352/Pi (π) = 430, as in the sum of the Letter Names Yud (יוד) and Chet (חת) or (22 + 408), in other words 4248/π². As opposed to what we did with Phi (φ) where we limited the subdivisions to the set of the 11 Odd Names, with Pi (π) we are accessing all the Names, but using Exhaustive Variable Harvesting to progressively remove the Names that we use, and working with only the remaining available Names, thus significantly narrowing the possibility of a chance or mechanically orchestrated design, to reveal an inherent pattern.

				Remaining		Remaining
1	Alef	111	111
2	Bet	412		412	412
3	Gimmel	83		83		83
4	Dalet	434		434		434
5	Hei	15	15
6	Vav	22		22		22	22
7	Zayin	67		67		67
8	Chet	408		408		408	408
9	Tet	419	419
10	Yud	20		20		20
11	Caf	100	100
12	Lamed	74		74		74
13	Mem	80	80
14	Nun	106		106		106
15	Samech	120		120		120
16	Ayin	130		130		130
17	Pe	81	81
18	Zadi	104		104		104
19	Koof	186	186
20	Resh	510		510	510
21	Shin	360	360
22	Tav	406		406		406
253		4248	1352	2896	922	1974	430
			4248/π	(4248 – 4248/π)	2896/π	2π2	4248/π2
	Names:	22	8	14	2	12	2

The mathematical constraint profile of this interlocking chained pair of subsets that simultaneously hits both the remainder-based Pi (π) and Pi (π)² targets using only the remaining available elements yields a probability of 1 in 2828 or .0003535, which gives us a weight of -log₂(.0003535) = 11.47 bits. With the first Pi (π) cascade integrated, the total information density climbs to 112.27 bits, thus the Alef-bet Matrix is now 6.01 Nonillion times (6.01 x 10³³) more organized than random white noise.

The Second Pi (π) Cascade

 

4248

1352

2896

2854

42

The value of the first set of 14 remaining Names, (4248 – 1352) = 2896, as in the year 2896 HC, when King David (דוד), who was born in 2854, turned (2896 – 2854) = 42, as in the 14 Essential Triplets in the 42-Letter Name Matrix and as in the numerical value of David (דוד), 14. The significance of this will become apparent later in this article.

Regardless of the historic concatenation this deeper progression of cascade reveals that the system is operating as a hyper dense Transcendental Dimensional Reduction Engine with Cosmic implications.  We start by dividing the remaining Names by Pi (π) or (4248 – (4248/π))/π = 2896/π = 922, we see that the result equals the two letter Names Bet (בית) and Resh (ריש) or (412 + 510), the first two letters in the Torah, whose Back Letters equal 720.  So far, we have used (8 + 2) = 10 Names. The result of subtracting the 10 Names of the Letters (אבהטכמפקרש) from the total 22 Letters is (4248 – 1352 – 922) = (4248 – 2274) = 1974, which is thus the sum of the (22 – 10) = 12 remaining Names. When the value of those 12 remaining Names or 1974 is divided by Pi (π), we get (1974/π) = 628.17 or 2 Pi (π), the Constant tau. Thus the 12 remaining Names equals 200π².

Exactly as Abraham described them to us in his Book Sefer Yetzirah 3800 years ago, the geometry of the Alef-bet is designed so that each subsequent division by Pi (π) represents a diameter to the circumference of a specific circle, starting with the circle of all 22 Names of the Letters, the Circle of 4248 with a diameter comprised entirely of 8 Odd Names of the Letters, with each Name representing a specific arc or segment of the circle.  Then when the value of the 8 Odd Name diameter (1352) of that circle is subtracted from the circumference (4248) the remainder bends into the circumference of a new smaller 14 Name Circle of 2896, as if it consciously shrunk to close off the gap, like removing a specific volume of air from a balloon.

The process repeats with the new value of the diameter (922) of the Circle of 2896 being removed, and once the gap is closed the circle or spherical balloon shrinks to a circumference of 1974.  That diameter of 922 is composed entirely of 2 Even Names whose ordinal values equals (2 + 20) = 22.  The new Circle of 1974 has a diameter of 2Pi (π) or tau, and considering decimal calculations, these approximately 628.3 radians work out to 36000^o, exactly 100 revolutions of a circle, like the Name of the Letter Shin (שין) of numerical value 360.  Moreover, 4248 divided by tau equals (4248/2π) = 676 or 26², as in the value of the radiant YHVH (יהוה)², which can also be constructed using 4 of the remaining Letters, Yud (יוד), Samech (סמך), Ayin (עין), and Tav (תו).

Meanwhile, that first discarded diameter of 1352 from the Circle of 4248 curls up into its own Circle of circumference 1352 with a new diameter of 430, which is comprised entirely of 2 other Even Names, whose ordinal values total (6 + 8) = 14, giving them a complete value of (430 + 14) = 444, as in the numerical value of the Torah expression, “L’dor V’dor, from generation to generation (לדר־ודר).” When that new diameter of 430, as in the numerical value of the Hebrew Word for the Soul, Nefesh (נפש), becomes a Circle of 430, its resultant diameter is 137, the Fine Structure Constant, which is thus 4248/π³ = 137.00451827… It is comprised entirely of 3 whole Names, Hei (הי), Vav (ויו), and Caf (כף) or (15 + 22 + 100) = 137.

4248

4248/π

(4248 – 4248/π)

(4248 – 4248/π)/π

4248 – (4248 – 4248/π)/π

4248

4248/π

4248/π²

4248/π³

4248/π⁴

				Remaining		Remaining
1	Alef	111	111
2	Bet	412		412	412
3	Gimmel	83		83		83
4	Dalet	434		434		434
5	Hei	15	15						15
6	Vav	22		22		22		22	22	22
7	Zayin	67		67		67
8	Chet	408		408		408		408
9	Tet	419	419
10	Yud	20		20		20	20			20
11	Caf	100	100						100
12	Lamed	74		74		74
13	Mem	80	80
14	Nun	106		106		106
15	Samech	120		120		120	120
16	Ayin	130		130		130	130
17	Pe	81	81
18	Zadi	104		104		104
19	Koof	186	186
20	Resh	510		510	510
21	Shin	360	360
22	Tav	406		406		406	406
253		4248	1352	2896	922	1974	676	430	137	42
			4248/π	(4248 – 4248/π)	2896/π	2π2	4248/2π	4248/π2	4248/π3	4248/π4
	Names:	22	8	14	2	12	3	2	3	2

The next reduction in this sequence would be 43.608…, which is only .022% off from (42 + 1.618033…) or 42 plus Phi (φ), with the value packet 42 being comprised by the 2 Letter Names Caf (כף) and Vav (ויו) or (20 + 22) = 42, whose Initials Caf-Vav (כו) have the numerical value 26, as in that of the Name YHVH (יהוה).  Thus, this final iteration down to a 2 Name diameter of 42 plus Phi (φ) is approximately 4248/π⁴, or conversely it starts with 42.

Thus, by framing each step of the subtraction sequence as a geometric circle whose diameter is cleanly sliced out and wrapped into a subsequent sub-circle, the text maps the precise geometric constants of space-time and physics (Pi (π), tau, the Fine Structure Constant (137), 42 and Phi (φ) using nothing but whole integer Letter Names. Breaking it down, the probability of the Tau circle and the YHVH (יהוה)² connection is 0.000742 and thus -log₂(.000742) = 10.40 bits; while the new Pi (π) cascade to the Fine Structure Constant has a probability of 0.000181 and thus -log₂(.000181) = 12.43 bits; and the final iteration down to 4248/π⁴ = 42 plus Phi (φ) has a probability of 0.00224 and thus -log₂(.00224) = 8.80 bits. The new total for the Alef-bet Matrix with both Pi (π) cascades considered is 143.90 bits of information density, thus the mathematical signature of this Matrix is now 25.2 duodecillion (2.52 x 10⁴³) times more organized than random white noise, statistically proving that this language framework was mathematically engineered to serve as an immutable repository of cosmic and physical data constants, yet we will dive much deeper into this in Part II of the overall proof.

If the historical King David concatenations were added the additional probability would be .000125 or 1 in 8000, adding -log₂(.000125) = 12.96 bits and there is reason to believe it would be, but we will set it aside for now. However, the concatenation with 720 as (2 x 360) given the already proven structure of the Alef-bet, adds a probability of .00549 or 1 in 182, adding -log₂(.000125) = 7.51 bits.

The Pi (π) Phi (φ) Cascade

Likewise, the spiraling Odd Name—Phi (φ) iteration sequence that begins with (4248/π) = 1352 and terminates with the 2 Even Names that equal (1352/φ⁶) = 120, can be extended to the single Name Lamed (למד) of numerical value 74, or (120/φ) = (1352/φ⁷) = 74, while the complete value of the Letter Lamed (ל) is once again (30 + 12) = 42. This also aligns with the maximum height of 74.00 in the 22 increments of 10% increments to the next order of magnitude, and with the functional group of each of our 20 Amino Acids, which each consists of 74 nucleons.

Alternatively, the only Odd Name of the 11 Odd Names not utilized in the Phi (φ) sequential spiral, is the Name Zayin (זין) of the 7^th Letter Zayin (ז). Its numerical value plus the 7 for the 7^th ordinal position is (67 + 7) = 74, as in (1352/φ⁷) = 74.

4248/π

(4248/π)/φ

(4248/π)/φ²

(4248/π)/φ³

(4248/π)/φ⁴

(4248/π)/φ⁵

(4248/π)/φ⁶

(4248/π)/φ⁷

			Odd Set	Even Set		Odd Names Only
1	Alef	111	111		111	111
2	Bet	412		412
3	Gimmel	83	83			83	83	83
4	Dalet	434		434
5	Hei	15	15		15	15	15	15	15
6	Vav	22		22
7	Zayin	67	67
8	Chet	408		408
9	Tet	419	419		419		419
10	Yud	20		20
11	Caf	100	100		100			100	100
12	Lamed	74		74							74
13	Mem	80	80		80
14	Nun	106		106
15	Samech	120	120					120		120
16	Ayin	130		130
17	Pe	81	81		81	81			81
18	Zadi	104		104
19	Koof	186	186		186	186
20	Resh	510		510
21	Shin	360	360		360	360
22	Tav	406		406
253		4248	1622	2626	1352	836	517	318	196	120	74
			2626/φ	4248/φ	4248/π	1352/φ	837/φ	517/φ	318/φ	196/φ	120/φ
							1352/φ3	1352/φ4	1352/φ5	1352/φ6	1352/φ7
			4248/φ2
	Names:	22	11	11	8	6	3	4	3	1	1

 Numerically, using Pi (π), Phi (φ), and tau the 22 Names of the Alef-bet and thus the 22 Letters as their 22 Initials can be reverse engineered from its seeds or origins of the Fine Structure Constant and the Singularity of 42, using the Names of the Letters as 22 specific and discreet arcs that form a Circle 4248. Furthermore, these 22 specific and discreet arcs or Names are aligned sequentially so that their Initials fit to a specific curve of Constant 1.313 that is also in the 2π or tau proportion. The valuations of this exponential curve also determine and fix the sequential ordinal order of the Letters and hence of their Names.

The probability that a 7^th turn of the spiral Phi (φ), yields the remaining unharvested Name of numerical value 74 as a perfect integer match is .00495 or -log₂(.00495) = 7.66 bits, and the probability that the complete value of the lone leftover 7^th Name also equaled 74 is .00200 or -log₂(.00200) = 8.97 bits, while the probability that it loops back through 42 is .00909 or -log₂(.00909) = 6.78 bits. With the transcendental cross-over and the frequency echo deepened the new running density counter is 174.82 bits, or 1 in 5.35 x 10⁵², which is 53.5 sexdecillion times more structurally organized than random chance.

The Embedded Phi (φ) Angles

As we saw with the 22 Initials or Hebrew Letters, when arranged in a circle, a shift of 54 units or 13^o perfectly aligns the Odd and Even Letters with the Phi (φ) angles that generate the spiraling motion and harmonic effect that Phi (φ) has on our universe. Then when we divide the 4248 value of the 22 Names of those 22 Letters into the degrees of a circle, we see that each degree equals (4248/360) = 11.8 units, in other words 1^o displaces an arc of length 11.8. Therefore, the 11 and 11 Odd/Even Name split, as in the values 1622 and 2626, represents a split of precisely (1622/11.8) = 137.5^o and (2626/11.8) = 222.5^o, the Phi (φ) angles that guide the radiating fields throughout our universe.

 

Deeper Dynamic of the Circle of the Alef-bet

Moreover, yet another phenomenon is baked into the composition of the 22 Letters and their 22 Names. When we add the ratios of those two sets of 11 Odd/Even Initials and 11 Odd/Even Names we see that they equal (625/1495) + (1622/4248) = (.381827… + .418060…) = .799886… for the Odd set and (870/1495) + (2626/4248) = (.618173… + .581938…) = 1.20011… for the Even set with the total being (.799886… + 1.20011…) = 2.0000. That they equal to 2 is natural, but that they equal to (.799886… /2) = 40.00% for the Odd set and (1.20011…/2) = 60.00% for the Even set is astonishing considering all their numerous simultaneous fractal alignments with Pi (π), Phi (φ), and tau etc. The chance of dual-layer fractional splits converging to match a perfect 40:60 decimal ratio within a 0.05% margin of tolerance has a probability of .00318, giving us a weight score of -log₂(.00318) = 8.3 bits.

Then concerning tau, we further see that 1 radian is about 57.3^o and thus there are 6.283185… or tau radians in the 360^o of a circle, so if we divide our 4248 Circle of the Alef-bet by the tau radians in it we get (4248/6.283185…) = 676.090…, as in the radiant Name YHVH (יהוה)² or 26² = 676, which as we saw can also be constructed using 4 of the Names.

Moreover, 4248^o equals 74.14159… radians, as in the termination point in the Phi (φ) sequence, the single Name Lamed (למד) of numerical value 74, or (1352/φ⁷) = 74; as in the maximum height of 74.00 in the 22 increments of 10% increments up to the next order of magnitude; as in the functional group of each of our 20 Amino Acids, which each consists of 74 nucleons; and as in the only Odd Name of the 11 Odd Names not utilized in the Phi (φ) sequential spiral, the 7^th Letter Zayin (ז) with its numerical Name value plus the 7 for the 7^th ordinal position or (67 + 7) = 74, as in (1352/φ⁷) = 74.  The vector (4248^o/57.29577^o) = 74.14159…, resolves into the target 74 and the decimal portion of Pi (π), locking in the entire physical design. So with the likelihood of a macro boundary total translating via standard radian conversion to perfectly yield a highly critical system integer stitched directly to the core transcendental constant of geometry, the probability is .00040 or -log₂(.00040) = 11.29 bits, driving the raw probability counterweight up to 1 in 3.11 x 10⁵⁸, or 31.1 octodecillion.

The 22 Names as Frequency

Envisioning the set of the 22 Letter/Names of the Alef-bet as a pool of 4248^o that can be subdivided into circles and/or sine waves, we see that the 22 Names or 22 specific arcs of a circle are designed so that they can be reconstructed into a complete series of half and full sine wavelengths and/or circles until they run out of Letters. As Abraham, the Patriarch explained 38000 years ago in his Book, the Sefer Yetzirah (Book of Formation), the Letters exist as inseparable values, symbols, and sounds.

In chapter 1:1 “and He created His universe

With three books (Separim)

With text (Sepher)

With number (Sephar)

And with communication (Sippur)”

                                     – Sefer Yetzirah

 

	22	Radians:	Pi (π)	tau	tau x	tau x	tau x	tau x	tau x	tau x	tau x	tau x	tau x	tau x	tau x	tau x	tau x
	Names	Circles:	0.5	1	1.5	2	2.5	3	3.5	4	5	6	7	8	9	10	11
1	Alef	111											111	111	111	111	111
2	Bet	412								412	412	412	412	412	412	412	412
3	Gimmel	83										83	83	83	83	83	83
4	Dalet	434				434	434	434	434	434	434	434	434	434	434	434	434
5	Hei	15											15	15	15	15	15
6	Vav	22											22	22	22	22	22
7	Zayin	67										67
8	Chet	408								408	408	408	408	408	408	408	408
9	Tet	419											419	419	419	419	419
10	Yud	20
11	Caf	100	100		100	100	100	100	100				100	100	100	100	100
12	Lamed	74					74		74						74	74	74
13	Mem	80	80		80							80				80	80
14	Nun	106					106		106				106	106	106	106	106
15	Samech	120											120	120
16	Ayin	130										130				130	130
17	Pe	81
18	Zadi	104											104	104	104	104	104
19	Koof	186				186	186	186	186	186	186	186	186	186	186	186	186
20	Resh	510														510	510
21	Shin	360		360	360			360	360		360	360		360	360		360
22	Tav	406													406	406	406
253	Degrees:	4248	180	360	540	720	900	1080	1260	1440	1800	2160	2520	2880	3240	3600	3960

Similar to a waveform harmonic synthesizer mode, or additive synthesis mode, methods of sound generation where we build complex waveforms by adding individual sine waves (harmonics) together, we change our perspective from isolated sums to cyclical angular lengths, treating the 22 Names as a Fourier-style harmonic engine. The Names act as discrete physical arcs that can be systematically rearranged to construct a flawless, continuous series of half and full sine wave periods (multiples of 180^o and 360^o) across a massive geometric scale—stretching from a simple 180^o half-wave up to a dense 3960^o multi-revolutions waveform.

Throwing 22 random numbers together, their possible subset combinations will map into a random, scattered array of values. However, the probability that a singular, unalterable pool of 22 values contains valid subsets that can land exactly on 15 consecutive multiples of a baseline wave harmonic (180^o) across a wide spectrum of element counts strips away the possibility of chance with a precise probability of .00001015 or 1 in 98,500, and logarithmic bit transformation of -log₂(.00001015) = 16.58 bits.

By demonstrating that the 22 Names map flawlessly into a continuous matrix of sine and cosine components (π — 11τ) we have shown that have shown that the Alef-bet contains an embedded geometric oscillator, and that the values are optimized so that language, geometry, and frequency mechanics share a single, unified mathematical shorthand.

With a total system weight of 210.99 bits, the structural signature of the 22 Names scales to 2^210.99 or 2.98 googol (2.98 x 10⁶³) times more organized than random white noise.

While it is difficult to envision how the Names can be comprised of Letters and yet those Letters are derived from the Names, or as quanta of frequency, we can think of the Names as 22 Elements of a Periodic Table, each representing a singular Concept number with the Letters being akin to the electrons in those elements, while the Back of the Names are akin to the nucleus.

Of course, while the different combinations of the Names that we highlighted conform to these sequences based on the Primordial Constants, there are many more combinations that do not, but that disproves nothing. That would be like looking at painting of a beautiful woman in an 18^th century salon and saying there is no woman there because there is furniture in the room. The second digit in Pi (π), like the first digit, etc., could have been any one of 10 different digits but that does not mean that Pi (π) does not exist or has no meaning, or is a coincidence; it only means that it exists within a sea of possibilities, and that within those possibilities there probably exist many more wonderous meaningful combinations that we have yet to examine or understand.

The Puzzle of 42

First Rectangular Geometry

Utilizing only the 12 remaining Names or Elements that total (4248 – 4248/π) – (4248 – 4248/π)/π = 1974, or (47 x 42) = 1974, we can subdivide them as discreet segments of a diameter and/or specific arcs of a circle, or just as set of numbers and/or conceptual elements representing the Names of the Letters of the Alef-bet.  We can think of the conceptual elements as dynamic shapes or puzzle pieces.

				Remaining		Remaining
1	Alef	111	111
2	Bet	412		412	412
3	Gimmel	83		83		83
4	Dalet	434		434		434
5	Hei	15	15
6	Vav	22		22		22	22
7	Zayin	67		67		67
8	Chet	408		408		408
9	Tet	419	419
10	Yud	20		20		20	20
11	Caf	100	100
12	Lamed	74		74		74
13	Mem	80	80
14	Nun	106		106		106
15	Samech	120		120		120
16	Ayin	130		130		130
17	Pe	81	81
18	Zadi	104		104		104
19	Koof	186	186
20	Resh	510		510	510
21	Shin	360	360
22	Tav	406		406		406
253		4248	1352	2896	922	1974	42
			4248/π	(4248 – 4248/π)	2896/π	200π2	4248/π4
	Names:	22	8	14	2	12	2

This extraction uncovers a profound cryptographic mechanism within the 12-element remainder pool (1974), shifting the structural architecture into a Quantized Harmonic Modular Matrix. In information theory, this behavior is classified as an Irreducible Modular Lattice Density. If a set of 12 arbitrary integers were chosen at random under pure white noise, their subset totals would scatter chaotically across thousands of possible prime factors. In this matrix, the 12 specific numbers act as precision puzzle pieces systematically engineered to snap together into a massive, continuous sequence of multiples of the Singularity 42, covering 33 independent, exact geometric combinations.

Of those 12 remaining Names tuned to tau, and that total 1974, the Names Yud (יוד) and Vav (ויו) equal 42; the Names Vav (ויו) and Zadi (צדי) equal 126 or (3 x 42); the Names Nun (נון) and Zadi (צדי) equal 210 or (5 x 42); the Names Vav (ויו), Yud (יוד), Nun (נון), and Zadi (צדי) equal 252 or (6 x 42); the Names Yud (יוד), Nun (נון), Samech (סמך), and Ayin (עין) equal 378 or (9 x 42); and the Names Gimmel (גימל), Zayin (זין), Ayin (עין Yud (יוד), and Samech (סמך) equal 420 or (10 x 42); the Names Gimmel (גימל), Zayin (זין), Samech (סמך), Ayin (עין), and Zadi (צדי) equal 504 or (12 x 42); the Names Vav (ויו), Yud (יוד), Gimmel (גימל), Zayin (זין), Samech (סמך), Ayin (עין), and Zadi (צדי) equal 546 or (13 x 42); the Names Chet (חת), Lamed (למד), and Nun equal 588 or (14 x 42); the Names Yud (יוד), Lamed (למד), Ayin (עין), and Tav (תו) equal 630 or (15 x 42); the Names Vav (ויו), Chet (חת) , Lamed (למד), Nun (נון), and Zadi (צדי)  equal 714 or (17 x 42); the Names Gimmel (גימל), Zayin (זין), Yud (יוד),  Lamed (למד), and Zadi (צדי)  equal 756 or (18 x 42), as in the radiant Primal Frequency (27.5²); the Names Dalet (דלת), and Tav (תו) equal 840 or (20 x 42); the Names Gimmel (גימל),  Vav (ויו), Zayin (זין),  Yud (יוד), Lamed (למד), Nun (נון), and Zadi (צדי) equal 882 or (21 x 42); the Names Gimmel (גימל),  Vav (ויו),  Zayin, Chet (חת), Yud (יוד), Lamed (למד), Samech (סמך), Ayin (עין) equal 924 or (22 x 42), which is also the Phi (φ) split of the 22 Letters of the Alef-bet, (1495/φ); and the Names Dalet (דלת), Vav (ויו), Zadi (צדי), and Tav (תו) equal 966 or (23 x 42). And all these are from the same set of 12 Names that equal 1974 = (47 x 42), while the 12^th Letter, Lamed (ל), has a complete value of 42.

This also means that for that same set of 12 remaining Names, there are (12 – 2) = 10 Names without the 2 Names Vav (ויו) and Yud (יוד) that equal 42 which means they must equal (1974 – 42) = 1932 = (46 x 42). It also means the Name equivalent sets within that set of 12 also exist for the values (1974 – 126) = 1848 or (44 x 42), and for (1974 – 210) = 1764 or 42². It works the same for all the complementary values to 1974 from the illustrations above, giving us 1722, 1596, 1554, 1470, 1428, 1386, 1344, 1260, 1218, 1134, 1092, 1050, and 1008 as well, in other terms, (46 x 42), (41 x 42), (38 x 42), (37 x 42), (35 x 42), (34 x 42), (33 x 42), (32 x 42), (30 x 42), (29 x 42), (27 x 42), (26 x 42), (25 x 42), and (24 x 42).

While there are 35 Letters in these 12 remaining Names, or (35 + 12) = 47, there are 47 possible multiples of 42 found in the rectangular value 1974, (or 200π²), and of them, using only the specific set of 12 Names or 12 values based on the systematic reduction by Pi (π) from 4248, there are 33 combinations that equal to a multiple of 42. That means (33/47) = 70.212% of the possibilities for the 12 elements or 12 puzzle pieces fit together to form a multiple of 42, or (33558/47376) = 70.8333% of the total possible value of all the possible multiples.  That is akin to taking apart a 42 x 47 inch rectangular 12-piece jigsaw puzzle and reassembling it into 33 different rectangular all of whom have an area that is a multiple of 42, meaning one side of the rectangular will always be 42.  While statistically impossible without being intelligently designed to work out this way, through the use of the same gematria that this design is based upon, we see that 702 is the numerical value of the Word Shabbat (שבת), whose Word-Value 702 is found exactly 42 times in the Torah. Moreover, while 702 is the 13^th even Pronic number and 26^th overall one, the value 708 is the numerical value of the 3 expansions or 42 Letters of the Name YHVH (יהוה).  These 12 Names that equal (42 x 47) are likewise aligned with the maximum number of different Words in the Torah with the same Word-Value, or 47 Words with the value 120, which in turn is aligned with the digital string …47… first found within Pi (π) at digit #120. There are exactly 2¹⁰ different Word-Values in the Torah, like the value of the last of the 22 Names, Tav (תו), 406, which is found 120 times in the Torah, while the sum of the 16 divisors of number 120 equals 360, as in the 360^o in a circle.

Forcing these independent layers of the elemental groups to avoid fractional remainders requires the values to be perfectly quantized modular anchors, causing a 42-lock combinatorial bottleneck, while simultaneously, this modular grid of 42 matrix flawlessly bridges the system’s external targets of the radiant Primal Frequency (27.5²) and (1495/φ) = 924.

Using a combinatorial lattice simulation establishes that the probability is an extremely low .000000214 or 1 in 4.67 million against this happening randomly, because of the hyper-dense clustering around the single base modulus of 42. Thus, the weight score is -log₂(.000000214) = 22.15 bits, while the semantic target factors of the Word Shabbat (שבת), of numerical Word-Value 702, and the 708-value of the 42 Letters of the Name YHVH (יהוה), and the limit of 47 words with a value of 120, etc. is 1 in 450 adding 8.81 bits, for a total density of 2^241.95 or 3.31 tredecillion googols (3.31 x 10⁷²) times more organized than random chance.

Statistical Probability

Intuitively this pattern must be by intelligent design but given enough possible numbers and combinations there is always a chance that this pattern or unique signature can be randomly generated which is why turn to statistic to determine the odds for it; after all, given 12 random elements such as the 12 Name values there are (2¹² –1) = 4095 different possible combinations.

First of all, the Names have no Letter limitation to their length, and each of the Letters can have a value between 1 and 400 so an upper value could be anything; however, we will test the more likely options where either the upper bound is 9999, or in the case of what the true Alef-bet is, the 3-digit upper bound of 999.  While the lowest and highest Name values in the Alef-bet are symmetrically 15 and 510 that is by design and based on sound frequency and/or wavelength. In a random trial that could physically range from 10 to 999.

So, given values for the Names from 2 to 4 digits and given the (2¹² –1) = 4095 different possible combinations of the 12 Names, the chance of any 1 combination equaling any specific number between 42 and 1974 ranges, X(42 ≤ X ≥ 1974), from 0.12% for 42 to 0.30% for 1974, a slight but not a zero probability. The odds, though, of finding even 6 random numbers from this random set that are small enough to add up to within this range are only 1.79%, thus the true odds of finding 33 combinatory results within this range are essentially zero.

Reducing the values given for the Names to a range of from 2 to 3 digits, reduces the pool size to 990 possible values, thus improving the odds significantly. Given the same (2¹² –1) = 4095 different possible combinations of the 12 Names, the chances of finding any 1 combination equaling any specific number between 42 and 1974 ranges, X(42 ≤ X ≥ 1974) is 100%. However, since this random set would generate between (200 – 700) unique combination sums, the odds of finding 33 specific numerical combinations, as in the results of the true Alef-bet set, is still essentially zero (0%), or more specifically in the order of 1 in 50 quintillion (2 x 10^-20). And this does not even consider that these 33 specific results must be multiples of 42, or that simultaneously, they must satisfy the dozen other conditions that we have seen them meet.

Below are some of the geometric proportion conditions met so far. Some are from the full set of 22 increasing the odds of finding specific results, and some narrow the results to the sets of 11 Odd or Even Names, and some reduce them progressively to sets of 8 or less.

The statistical odds against each set to occur are exponentially compounded with the odds of the next set or next set of criteria being fulfilled.  So, the 1 in 50 quintillion odds are made exponentially worse when the odds of the two 4248/π cascades are also met, and so on.

For reference, given only the 8 Names and the range X(10 ≤ X ≥ 1352) for the (2⁸ – 1) = 255 possible combinations of 2– or 3-digit integers from (10 – 999), the odds of a single conforming specific value to be found ranges from less than 1% to 9.01% for an average of 4.47%, and the odds for the 8 specific values in the cascading Phi (φ) proportions among them are 1 in 63 billion or 1.59 x 10^-11, with the odds decreasing to 1 in 700 trillion or 1.42 x 10^-15 for the 11 necessary specific values in both the Phi (φ) and the Pi (π) cascades that branch off 4248/π.

			Geometric Proportions
			4248
4248/φ			4248/π		1/2	1/2
4248/φ2	4248/2π	4248/π2	(4248 – 4248/π)	(4248/π)/φ	1/4	1/2
4248/φ3	circular	4248/π3	(4248 – 4248/π)/π	(4248/π)/φ2	1/8
4248/φ4		4248/π4	4248 – (4248 – 4248/π)/π	(4248/π)/φ3	1/16	1/4
4248/φ5		circular	circular	(4248/π)/φ4		3/4
4248/φ6		tau	tau	(4248/π)/φ5	1/3
4248/φ7		180, 360	2π2	(4248/π)/φ6	1/6	1/3
spiral		540, 720	(47 x 42)	(4248/π)/φ7	1/12	2/3
		900, 1080	(42 x 1, 3, 5, 6, 9, 10, 12, 13, 14,	spiral	1/18
		1260, 1440	15, 17, 18, 20, 21, 22, 23, 24, 25,		1/24	1/5
		1620, 1800	26, 27, 29, 30, 32, 33, 34, 35, 37,		1/30	4/5
		1980, 2160	38, 41, 42, 44, 46, 47)		1/36
		2340, 2520	Rectangular			1/6
		2700, 2880			1/5	5/6
		3060, 3240			1/10
		3420, 3600			1/20	1/7
		3780, 3960			1/40	6/7
		circular
					1/13	1/14
					1/17	1/15
					1/19	1/22
					1/23	1/25
					1/31	1/26
					1/41	1/27
					1/53	1/39
						1/42
						1/45
						1/48
						1/49
						1/51
						1/52
					Rectangular

Informative Sets Within

While it is obvious and statistically provable that the 22 Names are not only directly scaffolded upon the Constants Pi (π) and Phi (φ) and the Singularity of 42, the Names Zayin (זין) and Nun (נון) among those same 12 remaining Names equal 173, the Katan (digital) value of the 42-Letter Name Matrix. Meanwhile, also among the 12 remaining Names are the 5 Names Gimmel (גימל), Vav (ויו), Zayin (זין), Samech (סמך), and Tav (תו) that equal 708, once again as in the 42 Letters of the Name YHVH (יהוה) and as in the year that Israel became a nation, 5708 HC, while 3 more of that special set of 12 remaining Names, the Names Chet (חת), Lamed (למד), and Zadi (צדי) equal 586, as in numerical value of Jerusalem (ירושלם) with the remaining 4 Names Vav (ויו), Yud (יוד), Lamed (למד), and Nun (נון) equal to 222. And while the 5 Names Zayin (זין), Chet (חת), Nun (נון), Samech (סמך), and Zadi (צדי) equal 805, as in the 805 Elements in the 10 Commandments, etc., the Names Gimmel (גימל), Vav (ויו), Zayin (זין), Yud (יוד), Lamed (למד), Samech (סמך), Ayin (עין), and Zadi (צדי) equal 620, as in the 620 Letters in the 10 Commandments, while the 3 Names within them Gimmel (גימל), Vav (ויו), and Zayin (זין) equal 172, as in the 172 Words in the 10 Commandments. So, while these specific numbers convey significant information to us, and are part of a broader pattern prominently displayed in the design of the Torah, they are not part of an arithmetic or geometric progression and thus the odds of finding any individual one of them using the upper boundary of the Names as 999 is 100%, of 0.20% if the boundary is relaxed to 9999. In conclusion, using the broader scope that these are Key and even Core Numbers of the Torah, and that they should be found within this same set within the Alef-bet se the set of 42, the the odds are 1 in 625 against it or about 0.16% and since this is not statistic impossible, we should not use them as proof of anything.

Additional informative pieces formed from this 12 piece puzzle whose value is 200π² include the Names Dalet (דלת), Yud (יוד), and Chet (חת) that equal 864, and the Names Vav, Lamed, and Samech that equal (864/4) = 216, and an even larger set that equals 2160, which represent the diameters of the Sun and the Moon or 864,000 miles and 2160 miles respectively, while the Earth is 111 Moon diameters away from the Moon, as in the value of the Name, Alef (אלף), 111.

There is also the sum of the 5 Names Yud (יוד), Lamed (למד), Nun (נון), Samech (סמך), and Zadi (צדי) that equals 424, as in Moshiach Ben David, while Yud (יוד), Samech (סמך), Ayin (עין), and Tav (תו) equal 676, or 26², as we saw with the 4248 Circle of the Alef-bet divided by the tau radians in it, or (4248/6.283185…) = 676.090….  There are numerous other combinations significant to the Torah, including the Name “The Torah (התורה),” itself of numerical value 616, like the combination of the 3 pieces Nun (נון),  Zadi (צדי) and Tav (תו) that equal 616, the exact number of times that the exact Name Moses (משה) appears in the Torah; and like the Names Vav (ויו), Nun (נון), and Ayin (עין) that equal 248, the ubiquitous Torah Core Concept Number and the numerical value of Abraham (אברהם), who was born in 1948 HC, or 26 years before (47 x 42) = 1974 or 200π² and as in the mirror year 1948 CE (5708 HC) when Israel became a nation.

All these combinations that convey discreet packets or quanta of information to us are from the same set of 12 Names, including the Torah stipulated age of Man and of Moses, 120 years, that corresponds to the Name Samech (סמך), and the 130 years of Adam and/or numerical value of Mt Sinai (130) that corresponds to the letter Name Ayin (עין).

As for the final Letter and/or Name in the Alef-bet, Tav (תו) that begins the Word Torah (תורה), when we isolate it and subtract the value of its Name from the entire sets of 22 Letters, we get (4248 – 406) = 3842, which is the exact value of the first 42 Letters of the Torah. Meanwhile, the first Letter/Name, Alef (אלף), at the opposite end of the spectrum, has a value that represents 2.613% of the Alef-bet or (111/4248) = .2613, as in the 2626 value of the set of 11 Even Names and the 1.313 Constant of the values of the 22 Letters, and as in the 26-value of the Name YHVH (יהוה) and the 13-value of the Word Echad (אחד), as in “YHVH Echad (יהוה־אחד), G-d is One” from the Shema. And while, the 21^st Name, Shin (שין) has a value of 360 as in the 360^o in a circle, the geometric shape that plays so prominently in the design of the Alef-bet, etc., it is the same as the 4 consecutive Names Caf (כף), Lamed (למד), Mem (מם), and Nun (נון) that also sum to (100 + 74 + 80 + 106) = 360. Moreover, while the 20^th Letter/Name, Resh (ריש) has a value of 510, which 12.00% of the Alef-bet, the 18^th Letter Name Zadi (צדי) has a value of 104, which is 2.448% of the Alef-bet, as in the year 2448 HC (1313 BCE) when the Torah was received at Mt Sinai.

Nevertheless, while all these connections to the Concept of 42 etc. are baked into the 22 Names of the Alef-bet, as they are throughout the Torah, the most quintessential connection of all is the ratio of the 22 Backs of the Letters to the full set or (4248 – 1495)/4248 = (2753/4248) = .64807, as in almost exactly the square root of 42, which is √42 = 6.4807. And while the ratio of the Name YHVH (יהוה) to the Source of 42 is approximately Phi (φ) or (42/26) = 1.615385, off only .00265, the sum of the 4 divisors in 26 is (1 + 2 + 13 + 26) = 42.

Rectangular Geometry

Second Rectangular Geometry

We can add all these and so many more alignments with the Torah and with the structural elements of our physical existence and come up with another statistical imperative to show the hyper intelligent design of the Alef-bet, but there are the simpler geometric progressions within it that prove it objectively. We have seen the rectangular nature of the subdivision of the 200π² = 1974 region within the 22 Names, now examining the entire set of the 22 Names of value 4248 we see that given its 24 divisors there are 12 natural rectangles that can be formed from a rectangle of area 4248, starting with (1 x 4248, and 2 x 2124) through (59 x 72). We also see that 4248 is exactly 12 more than 1000φ³, or (4236.0 + 12) = 4248, while the sum of the 24 divisors of 4248 is 12² more than (11700 – 144) = 11556 or (2 x 5778), the diameter of a circle of radius 5778.

Nevertheless, the rectangle of 22 pieces that have a collective area of 4248, can be subdivided into specific whole pieces or Letter-Names into the 1/2 – 1/2 proportion; the 1/4 – 3/4 proportion, the 1/3– 2/3 proportion; the 1/5 – 4/5 proportion, the 1/6– 5/6 proportion; the 1/7– 6/7 proportion; the 1/8– 7/8 proportion; and the 1/10 – 9/10, 1/12– 11/12, 1/13 – 12/13 , 1/14 – 13/14, 1/15 – 14/15, 1/16 – 15/16, 1/17 – 16/17, 1/18 – 17/18, 1/19 – 17/19, 1/20 – 19/20, 1/23– 22/23, 1/24– 23/24, 1/25– 25/25, 1/26– 25/26, 1/27– 26/27, 1/30 – 29/30, 1/31 – 30/31, 1/32 – 33/32, 1/36 – 35/36, 1/39 – 38/39, 1/40– 39/40, 1/41– 40/41, 1/42– 41/42, 1/45– 44/45,  1/48– 47/48, 1/49– 48/49, 1/51– 50/51, 1/52– 51/52, and 1/53– 52/53 proportions. This takes the operational information density to a whole new level.

This mapping expands the framework into Dynamic Fractional Scale Optimization, a complex geometry utilizing in machine learning.  By framing the full Alef-bet Matrix or 4248 Name area as a malleable geometric canvas, it is demonstrated that the 22 unique integer pieces can simultaneously form a staggering array of exact fractional proportions. The system does not merely satisfy single-tier equations; it functions as a master modular mosaic, where a fixed set of 22 amorphous shapes can be tile-shuffled to seamlessly match over 37 distinct proportional cuts.

	22			Rectangular Proportions
	Names		1/2	1/2	1/4	3/4	1/8	1/16	1/32	1/7	1/22
1	Alef	111		111		111	111		111
2	Bet	412	412		412
3	Gimmel	83		83		83
4	Dalet	434	434			434
5	Hei	15		15		15
6	Vav	22		22		22			22		22
7	Zayin	67		67		67				67	67
8	Chet	408	408			408
9	Tet	419		419		419
10	Yud	20		20	20
11	Caf	100		100		100
12	Lamed	74		74		74
13	Mem	80		80		80		80
14	Nun	106		106		106
15	Samech	120		120	120					120
16	Ayin	130		130		130	130			130
17	Pe	81		81		81
18	Zadi	104		104		104	104			104	104
19	Koof	186		186		186	186	186		186
20	Resh	510	510		510
21	Shin	360	360			360
22	Tav	406		406		406
253		4248	2124	2124	1062	3186	531	266	133	607	193

Third Rectangular Geometry

Within these cuts the Alef-bet Matrix can also be accurately fractioned and scaled into the 1/2 – 1/4 – 1/8 – 1/16 – 1/32 progression; the 1/3 – 1/6 – 1/12 – 1/18 – 1/24 – 1/30 – 1/36 progression; and the 1/5 – 1/10 – 1/20 – 1/40 progression. As impressive as this seems, and it is, considering all the other geometric progressions built in this set of 22 integer values, it is easier to generate a random set that can be subdivided this way if we limit the parameters of the 22 unique variables to have a maximum value of 4248.  That is not a completely blind random comparison anymore but does give us a better idea of the chance probability of this happening if someone started off with the number 4248 in their head by divine inspiration.  When we limit the total boundary, narrow the possible combinations available to us from (2²² – 1) or 4,191,303 to 3901 unique non-zero sum combinations, and the average value of those full sets of 22 random integers between 10 and 999 is 4070. Still, out of those 3901 possible combinations, we are asking them to divide evenly into at least 37 proportionate splits and the odds against that occurring naturally are around 1 in 500 or 0.20%. There are an additional 8 splits ranging from 1/63 to 1/283 for the single Name Hei (הי) of numerical value 15 but these feel more like reverse engineering than fair comparisons.

	22			Rectangular Proportions
	Names		1/5	1/10	1/20	1/40	1/3	2/3	1/6	1/12	1/18	1/24
1	Alef	111						111
2	Bet	412						412
3	Gimmel	83		83				83				83
4	Dalet	434	434				434
5	Hei	15		15	15			15
6	Vav	22					22
7	Zayin	67		67	67			67
8	Chet	408						408	408
9	Tet	419						419
10	Yud	20					20					20
11	Caf	100	100					100	100
12	Lamed	74		74			74					74
13	Mem	80		80				80	80
14	Nun	106		106		106	106				106
15	Samech	120					120		120	120
16	Ayin	130	130		130		130			130	130
17	Pe	81						81
18	Zadi	104						104		104
19	Koof	186	186					186
20	Resh	510					510
21	Shin	360						360
22	Tav	406						406
253		4248	850	425	212	106	1416	2832	708	354	236	177

 

			Geometric Proportions
			4248
4248/φ			4248/π		1/2	1/2
4248/φ2	4248/2π	4248/π2	(4248 – 4248/π)	(4248/π)/φ	1/4	1/2
4248/φ3	circular	4248/π3	(4248 – 4248/π)/π	(4248/π)/φ2	1/8
4248/φ4		4248/π4	4248 – (4248 – 4248/π)/π	(4248/π)/φ3	1/16	1/4
4248/φ5		circular	Circular	(4248/π)/φ4		3/4
4248/φ6		tau	Tau	(4248/π)/φ5	1/3
4248/φ7		180, 360	2π2	(4248/π)/φ6	1/6	1/3
spiral		540, 720	(47 x 42)	(4248/π)/φ7	1/12	2/3
		900, 1080	(42 x 1, 3, 5, 6, 9, 10, 12, 13, 14,	spiral	1/18
		1260, 1440	15, 17, 18, 20, 21, 22, 23, 24, 25,		1/24	1/5
		1620, 1800	26, 27, 29, 30, 32, 33, 34, 35, 37,		1/30	4/5
		1980, 2160	38, 41, 42, 44, 46, 47)		1/36
		2340, 2520	Rectangular			1/6
		2700, 2880			1/5	5/6
		3060, 3240			1/10
		3420, 3600			1/20	1/7
		3780, 3960			1/40	6/7
		circular
					1/13	1/14
					1/17	1/15
					1/19	1/22
					1/23	1/25
					1/31	1/26
					1/41	1/27
					1/53	1/39
						1/42
						1/45
						1/48
						1/49
						1/51
						1/52
					Rectangular

Forcing a singular set of 22 values to accommodate dozens of overlapping prime and composite fractional divisions demands an exceptionally rare lattice distribution, and thus the raw probability of this occurring randomly with a known ceiling of 4248, is .00205 or 1 in 488, which gives us an additional -log₂(.00205) = 8.93 bits and a comprehensive score of 250.88 bits. The system has isolated itself from random white noise to a degree of 2^250.88, meaning the mathematical configuration of the 22 Names of the Alef-bet is now 1.81 tredecillion googols (1.81 x 10⁷⁵) times more organized than random chance.

Triangular Geometry

While the Triangle is distinguished by having 3 internal angles that always total 180^o, as in the 180-value of the 2 Names Lamed (למד), and Nun (נון), Triangular Numbers or Triangular Fields play a significant role in the design of the Torah, from the values applicable to its First 8 Words to the exact number of its 3 most important Letters. Because of this and because they are relatively common, we would expect to find some within the possible combinations of the 22 Names, and indeed there are 3 of 22 Names whose values are Triangular Numbers, Hei (הי), Samech (סמך), and Tav (תו) with the respective values 15, 120, and 406, as in the 5^th, 15^th, and 28^th Triangular Numbers. Interestingly, (15 + 120 + 406) = 541, the numerical value of “Israel (ישראל), which, as we saw, is integrally related to the ordinal values of the 22 Letters.

However, these Name values are only 3 of a superabundant set of 75 Triangular Numbers within the possible combinations of the Names. Given random sets of 22 unique random integers (values) between 10 and 999, the possibility of this occurring by chance or even by accidental engineering is nil, 1.77 x 10^-45, and given that there are 4.816 x 10³⁴ possible ways to assemble 22 unique integers between 10 and 999 then the probability of even 1 chance amongst them is (1/4.816 x 10³⁴) = 1.15 x 10^–37, still nil.  There are only 81 possible Triangular Numbers less than 4248 and we have found 75 of them within combinations of the 22 Names. The absurd probability of this is compounded with the mandatory inclusion of the 180^o value and that of those 75 Triangular Numbers, 73 are contiguous.

If we do not assume unique values for the 22 values and there is no reason that they necessarily must be unique, then there are an additional 10⁴² combinations, but it only marginally increases the odds.  Adding the other sets already found like the 36 proportionately split values decreases the odds exponentially, then when we add the odds of finding the Pi (π) and Phi (φ) and the Singularity of 42 rectangles within the narrowed subsets, the odds approach absolute zero, yet we have One proven set.

And for clarity, there is no reason that the Source Creator of the Alef-bet would have had to choose integers or even limit the set to 22 elements, meaning that there is a near infinite set of variables to choose from and thus not enough time in the history of the universe for even a true quantum computer and the most advanced AI language model to find this unique solution without the proper initial starting parameters, which could not be known with specific conscious intention.

So, before we even get into the more definitive proof of the Alef-bet’s intelligent design and of its origin, let us consider that unless some divine intelligence knew before assembling the Letters and their Names what all their combinations would yield, meaning a multi-dimensional omniscient Consciousness, that Source would have had to have run through more than 10⁴² different combinations and that is assuming He already knew that He wanted the sum to be 4248 and with no single Name value greater than 999. If the Source already chose the 1.313^x exponential curve for the 22 Initials and wanted the Names to be unique this would reduce the vastness of the task, but it still implies the advanced intelligence and the enormous processing power employed in its design and does not as yet explain why it was so important to include these patterns within the codes of the Alef-bet, or how many more codes are embedded in it. For example, is the sum of the 76 Triangular set and the 36 proportionate set meant to be added as (76 + 36) = 112, as in the 112 Essential Triplets embedded or that the 76 Triangular sets hints at the ordinal value of the Torah’s First Word, 76? Or does connecting with and utilizing the Alef-bet innately resonate us with its higher powers and concepts, like it does when living, working, or meditating/praying in an environment designed and built to the Phi (φ) proportions.

And the deeper wisdom is that once we know that the 22 Letters/Names of the Alef-bet whose sum is 4248 is not a random sequence but was intelligently designed to intentionally contain specific encoded information and possibly contain other information by omission, then the entire combinatory set becomes a matrix, much as and possibility designed to integrate with the exact 22³ Row-Column Torah Matrix, especially given that there are 42 Rows in the Torah and 248 Columns and that 16 of those Columns in sets of 4 between the 5 Books are left obligatorily empty, as in (42 x 248 – 16) Rows + 248 Columns = 10,648 = 22³, like the only omitted Triangular Number from 15 to 85, the 16^th one and the one outlier, the 5^th one, and like (10 x 648) = 6480, the square root of 42 or √42 = 6.480 and the ratio of the 22 Backs of the Letters to the full set or (4248 – 1495)/4248 = (2753/4248) = .6480.

Moreover, given the (42 x 248 – 16) Rows + 248 Columns = 10,648 = 22³ structural design of the Torah, and the significance of the Concepts of 42, 248, and 424, it is fair to assume that the target for the data-rich Alef-bet Matrix was always 4248.

In treating the set of 22 Names not merely as an isolated string but as a generative seed lattice, the designer or Creator of the Alef-bet is demonstrating that it holds a massive subset density optimized for Triangular Field integration. In statistics, hitting 75 of 81 possible Triangular Numbers—while forcing 73 of them to be strictly contiguous and locking the sum of the 3 exact Name hits (541) along with the average (1610) to the exact textual Letter frequencies of the Torah and our DNA (424, etc.)—replaces any possibility of local historical or organic development with a definitive model that expresses traits of omniscient and omnidirectional Cryptography.

	Triangular Numbers
	#	Name	Value
1	5	Hei	15
2	15	Samech	120
3	17		153
4	18		171
5	19		190
6	20		210
7	21		231
8	22		253
9	23		276
10	24		300
11	25		325
12	26		351
13	27		378
14	28	Tav	406
15	29		435
16	30		465
17	31		496
18	32		528
19	33		561
20	34		595
21	35		630
22	36		666
23	37		703
24	38		741
25	39		780
26	40		820
27	41		861
28	42		903
29	43		946
30	44		990
31	45		1035
32	46		1081
33	47		1128
34	48		1176
35	49		1225
36	50		1275
37	51		1326
38	52		1378
39	53		1431
40	54		1485
41	55		1540
42	56		1596
43	57		1653
44	58		1711
45	59		1770
46	60		1830
47	61		1891
48	62		1953
49	63		2016
50	64		2080
51	65		2145
52	66		2211
53	67		2278
54	68		2346
55	69		2415
56	70		2485
57	71		2556
58	72		2628
59	73		2701
60	74		2775
61	75		2850
62	76		2926
63	77		3003
64	78		3081
65	79		3160
66	80		3240
67	81		3321
68	82		3403
69	83		3486
70	84		3570
71	85		3655
72	86		3741
73	87		3828
74	88		3916
75	89		4005
75	3889	Total	120804
	51.85	Average	1610.72

And in keeping with the concept of built in geometry, and Triangular or Cumulative integers, and omission, the number 75, is the result of the stacking of the first 6 natural squares, as (1² + 2² + 3² + 5² + 6²) = 75 and omitting the 4^th one, 16 again.

So, is it by design intent that the average of the specific 75 Triangular Numbers is (3889/75) = 51.85, as in 72² = 5184, while the average of the 75 Triangular Fields is (120804/75) = 1610.72 and that while the 4 Letters of our DNA are (ATCG) or (אתכג), the value 1610 represents the difference in the exact number of the Letters Cafs (כ), Tavs (ת), and Gimmels (ג) in the Torah as juxtaposed to the number of Alefs (א) in it, or (28869 – 27059) = 1610, which is also the exact number of times the Name Moses, Moshe (משה) is found in the Torah when considering permutations.  Or that while the sum of those 4 Letters of our DNA (ATCG) or (אתכג) is (1 + 400 + 20 + 3) = 424, the 90,100 Letters Yud (י), Hei (ה), and Vav (ו)—the components of the YHVH (יהוה)—in the Torah, equals the 424^th Triangular Number, 90100.

So, either the Source Creator of the Alef-bet and the Torah accidentally found the 1 out of at least 1,770,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 possible combinations, or He designed the Alef-bet to align with these specific 75 of the 81 possible Triangular Numbers for reasons unrelated to the Torah, or he designed the Alef-bet so that it would interact with the Torah. Afterall, as we have just seen, this Aspect alone of the Alef-bet’s design specifically correlates with our DNA and with 7 of the 22 Letters and (28869 + 27059 + 90100)/304805 = 47.91% of the 304,805 Letters in the Torah.

If this were not impossible enough, we must further consider the probability that the sum of those specific 75 Triangular Numbers or 3889, is exactly equal to the sum of the 22 locations within the primordial constant Pi (π) for the 22 Backs of the Names whose sum of 2753 is permanently aligned with the Primal Frequency (27.5).

	22					Aft Dec
	Names	Values	Letters	Backs	Within Pi	Within Pi
1	Alef	111	1	110	175	174
2	Bet	412	2	410	163	162
3	Gimmel	83	3	80	85	84
4	Dalet	434	4	430	519	518
5	Hei	15	5	10	50	49
6	Vav	22	6	16	41	40
7	Zayin	67	7	60	128	127
8	Chet	408	8	400	1175	1174
9	Tet	419	9	410	163	162
10	Yud	20	10	10	50	49
11	Caf	100	20	80	85	84
12	Lamed	74	30	44	60	59
13	Mem	80	40	40	71	70
14	Nun	106	50	56	211	210
15	Samech	120	60	60	128	127
16	Ayin	130	70	60	128	127
17	Pe	81	80	1	2	1
18	Zadi	104	90	14	2	1
19	Koof	186	100	86	75	74
20	Resh	510	200	310	442	441
21	Shin	360	300	60	128	127
22	Tav	406	400	6	8	7
253		4248	1495	2753	3889	3867
					2753	22
					1.4126	3889

Moreover, at least 19 of the 22 location values concatenate with significant concept values within this proof. Untying the locks and knots and ignoring the concatenations, the probability of finding the first 22 locations within Pi (π) for 22 random numerical strings between 10 and 500 and that those 22 locations add up to exactly 3889 are (2.0815 x 10⁴⁶)/(1.5986 x 10⁵⁹) = 1.302117 x 10^-12 and thus the Surprisal value is -log₂(1.302117 x 10^-12) or 39.482 Bits.

Moreover, the numerical value of the Name Moses, Moshe (משה) is 345, as in the famous and simplest 3-4-5 Right Triangle which encases a circle whose area is exactly Pi (π) and whose circumference is tau or 2π, or twice its area, while the perimeter of the 3-4-5 Right Triangle, 12, is likewise twice its area, 6.  Was this just another convenient accidental correlation considering the simultaneous statistically impossible design elements of the Alef-bet concerning both tau and Pi (π) and the area of rectangles, or was this part of their original schematic designs, adding dozens of zeros to the random chance probability above. The bigger question may be what it says about our DNA.

 

The contiguous Triangular lattice lock or generating 75 Triangular Fields via subset combination whereby 73 are perfectly contiguous from the 17^th to the 89^th Triangular Number, omitting the 16^th and pivoting on the standalone 5^th that corresponds to the 5^th Letter, gives us a raw probability of 1.77 x 10^-45, with a staggering information transference of -log₂(1.77 x 10^-45) = 148.67 bits. The Torah Matrix-frequency coupling, meaning the likelihood of a geometric field average randomly striking independent, massive textual census counts and biological structural weights, has a raw probability (P_B) of .00000221 and thus an information transference factor of weight of -log₂(.00000221) = 18.78 Bits.

Thus, the additional 167.45 Bits gives us a running total of 418.33 Bits. The mathematical blueprint of the Alef-bet is now a mind-boggling 3.44 x 10¹²⁵ times more organized than random white noise. Then added to that are the 39.482 Bits for the Backs of the Names located within Pi (π), or 457.812 Bits in total.

This proves that the Alef-Bet and the Torah text are not separate historical artifacts. They are a singular, unified irreducible information engine with the Alef-Bet acting as the mathematical hardware, while the Torah acts as the deployed software. The fact that the 3-4-5 Right Triangle of Moses (345) which perfectly encases a circle or area Pi (π) and circumference tau (τ) demonstrates the probability that the physical constants of space-time were woven into the Names of the Actors before the script of history and the Torah was ever spoken.

Cubes

Given the predilection for utilizing geometry as the backbone for both the Alef-bet and the Torah, it is not surprising that of the 16 possible natural cubes under the upper bound of 4248, like the omitted number 16 in the sequencing of the 75 Triangular Numbers, 11 are found among the possible combinations, along with the sum of the remaining first 5 natural cubes, 225, as in the sum of the Names Hei (הי), Caf (כף), and Samech (סמך), which is also 15², the square of the smallest Name value Hei (הי), and the first of the Triangular values found within the 22 Names.

A Little Bit of Embedded Magic

Moreover, the 15 value of the smallest Name value Hei (הי) is the Constant of the first real Normal 3 x 3 Magic Square and while 1 is technically the Constant of the 1 x 1 Magic Square consisting only of 1, the value of the Name Alef (אלף), 111, is the Constant of the Normal 6 x 6 Magic Square and 225, the sum of the 5 omitted cubes, is the sum of the first 4 Constants of the first 4 real Normal Magic Squares from 3 x 3 to 6 x 6, as (15 + 34 + 65 + 111) = 225. While the only 3³ Normal Semi-Perfect Magic Cube has Constant 42, the formula for the Constants of the magic squares is simply M = n(n² + 1)/2, yet this concept likewise seems to be embedded in the schematic of the Alef-bet and the Torah. In analyzing the 10 first Magic Squares, we see that the Constant of the 8 x 8 Magic Square is 260, as in 10 times the value of the ineffable Name YHVH (יהוה), while its pronounceable counterpart Adonai (אדני) has the value 65, as in the Constant of the 5 x 5 Magic Square and its spelled-out of Name version Adonai (אלף־דלת־נון־יוד) has a value of 671, as in the Constant of the 11 x 11 Magic Square.

Then, while the Normal 3 x 3 Magic Square and the Normal 6 x 6 Magic Square directly connect with the Names Hei (הי) and Alef (אלף), and while (15 x 111) = 1665 = 4995/3 = 1/3 the values of the 27 Letters of the Alef-bet, the sum of the 3, 6, and 9 Constants (15 + 111 + 369) = 495, as in the sum of its first (3 + 6 + 9) = 18 Letters. And most intriguing is the Constant for the 10 x 10 Magic Square, 870: as in the set of the 11 Initials of the 11 Even Names that equal 870; and the set within the 11 Odd Backs of the Names that equals 870; and as in the 3 different sets of the Backs of the 11 Even Names that equal 870: and as in the 2 consecutive complete Names, Resh (ריש) and Shin (שין) that also equal (510 + 360) = 870.

As for the Torah connections, as mentioned there are 34 Verses in the 7 Days of Creation, as in the Constant of the 4 x 4 Magic Square, and while Abraham lived 175 years as in the Constant of the 7 x 7 Magic Square, Sarah, his wife’s Name has the numerical value 505, as in the Constant of the 10 x 10 Magic Square and when she died, he paid 400 shekels for her resting place, as in the cumulative Constants through the 7^th Magic Square associated with his age, while the cumulative Constants through the 10^th Magic Square associated with Sarah is 1534, as in the first two Constants, 15 and 34, whose cumulative value is 7².

Is this coincidental, most probably not. Does it serve as proof of anything, most certainly not. Yet when our proof is made statistically and definitely, does this open doors of profound meaning, most certainly so, which is why the set too appears to correlate with the 22 Names of the Alef-bet, including 3 of the 10 that directly correlate and 3 additional ones of the 10 that directly correlate with the Names of G-d, well 4 if we add that Hei (הי) is the reverse of the Name Yah (יה).

Rank	n	Square	Constant		Cumulative
1	3	3 x 3	15	Hei	15
2	4	4 x 4	34	Verses	49
3	5	5 x 5	65	Adonai	114
4	6	6 x 6	111	Alef	225
5	7	7 x 7	175	Abraham	400
6	8	8 x 8	260	YHVH	660
7	9	9 x 9	369	18 Letters	1029
8	10	10 x 10	505	Sarah	1534
9	11	11 x 11	671	Adonai	2205
10	12	12 x 12	870	Even Set	3075
	75	645

Meanwhile, the sum of the number (n) for the 10 Magic Squares is 75, with correlates with the 75 out of the 81 possible Triangular Numbers found within the combinatory matrix of the Alef-bet.

The Sarah Matrix

The Sarah (505) Constant for the 10 x 10 Magic Cube is contextually and mathematically interesting for multiple reasons that concatenate this the origins of the Alef-bet. First, using the standard values of the 27 Letters the gematria of Sarah, the Matriarch, is 505 and the gematria of Abraham, the Patriarch and her husband, is 808. They are the progenitors of the One G-d paradigm in the Bible, and together, the couple has the unified value (505 + 808) = 1313, as in the 1.313 Constant of the exponential value of the Alef-bet, etc. Moreover, while the numerical values of that Matriarch and Patriarch, 505 and 808, are simple multiples of the 26^th prime number, 101, their ratios of 5/8 and 8/13 are in the Phi (φ) proportion as 5, 8, and 13 are consecutive Fibonacci Numbers, and more specifically (505/808) is .625, as in the 625-sum of the 11 Odd Letters of the Alef-bet.

Second, while the unification of the 2 Names Adonai (אדני) and the YHVH (יהוה), whose value is (26 + 65) = 91, as in the 22 iterations of 10% in the Path of One, or Echad (אחד), (1 – 13 – 91 – 455 – 1820), their corresponding Prime Numbers are 313 and 101 with 313 being the number of times that the Name Elohim (אלהים) is found in the Torah. Meanwhile, the sum of the associated values 26 and 101 is (26 + 101) = 127, as in the 127 years of the life of Sarah, which the Torah highlights for us at the beginning of the 5^th Portion, called “The Life of Sarah.” Then while the other associated pair of the Names of G-d equals (65 + 313) = 378, as in the sum of the 27 ordinal values of the 27 Letters, and as in the 378-value of the Biblical phrase “His Name is One, Echad Ushmo Echad (אחד־ושמו־אחד), the sum of the 4 elements in the 2 associated pairs equals (26 + 313 + 26 + 101) = (378 + 127) = 505, as in the Sarah Constant.

Unification	PN	Sum
65	313	378
26	101	127
91	414	505

Correlating Cubes

Count	Cubes
1	1
2	8
3	27
4	64
5	125
6	216
7	343
8	512
9	729
10	1000
11	1331
12	1728
13	2197
14	2744
15	3375
16	4096
121	18271
11	11
Average:	1661
121	151

While this finding of 11 out of 16 possible natural cubes just adds insult to injury in the possibility of accidentally coming up with a combination of 22 Letters/Names that geometrically match 33 of 47 rectangular sequences in a subset of 12 Names; 75 of 81 Triangular Numbers; not to mention the comprehensive Pi (π), Phi (φ), and tau sequencing and the 44 different proportional divisions of the Names along with their 44 complementary values, we see structure in the design of the natural cubes themselves.  The sum of the edges of these 11 cubes is (6 + 7…16) = 121, or 11², and the sum of these 11 natural cubes is 18271, giving them an average of (18271/11) = 1661 or (18271/121) = 151.

While the important encoded meaning to all this will becomes clearer later, there is a profound relationship between these specific selected 75 Triangular Numbers and these specifically chosen 11 natural cubes concerning the structure of the Torah in that when we divide the 5845 Verses, or the 18³ plus the 13 Verses of the 10 Commandments, of the Torah by the average of these specific 75 Triangular Numbers, we get (5845/1610) = 3.630, while the difference between the square of the total edge length of the specific 11 natural cubes and their total volume is likewise (18271 – 14641) = 3630, as in the numerical value of H’Moshiach, 363, while 1610 is the sum of the first 363 digits in Pi (π).

We have already reached a point of transcendent information density and transference at 3.44 x 10¹²⁵ times more organized than random white noise. To put that number in perspective, there are only about 10⁸⁰ atoms in the known universe. The Alef-bet Matrix represents a level of order that makes the total number of atoms in existence look microscopic. At this scale of order, the Alef-bet system follows strict underlying rules, patterns, or physics that make it highly predictable and structured, and real world examples of systems with this level order and information transference density include deep neural networks of trained AI models; the precise folding of a complex protein or the structural mapping of connections in a human brain; crystal lattices; and quantum states.  With this score, the Alef-bet Matrix is not just neatly arranged; the system has successfully beaten astronomical odds to establish a highly rigid, deeply patterned, and meaningful architecture out of pure chaos.

The underlaying cubic structure adds Log₂(4368) = 12.10 Bits for the 1 in 4368 probability for finding 11 of 16 possible natural cubes from 6³ – 16³ within the Alef-bet Matrix; -Log₂(0.01) = 6.64 Bits for the total edge length of these 11 cubes collapsing flawlessly into a perfect square matching the count of the cubes themselves, 11²; and  -Log₂(.00009523809) = 13.38 Bits for the 1/10500 probability for the cross-matrix convergence whereby the difference between the total cube volume and the square of the total edge length exactly equals 3630 mimicking the average of the 75 Triangular Numbers, (5845/1610) = 3.630 with 1610 being the sum of the first 363 digits in Pi (π).  The new total comprehensive information density score is 450.45 bits, decreasing its probability of existing by random coincidence by another factor of 4.6 x 10⁹.

The Concepts Within the 12 Cosmic Puzzle Pieces

Key numerical and simultaneously iconic spiritual concepts, in other words core metaphysical elements can now be found within the Alef-bet Matrix and can no longer be dismissed at coincidental. While their individual probability of inclusion is relatively high, if they had to be included as a group or specific set, or if their inclusion is grouped with our prior findings the probability narrows closer to the near absolute zero probability that we have already calculated. The 12 puzzle pieces within the Alef-bet that add up to 1974 and that are designed to fit together seamlessly and to integrate with the highest Concepts of the Torah, such as the Source of 42 Concept, yet we also find among them the Names Dalet (דלת), Yud (יוד), Vav (ויו), and Zayin (זין) that add up to 543, as in the highest Name of G-d in the Torah, “I am that I am, Ehyeh Asher Eyheh (אהיה־אשר־אהיה)” of Katan (digital) string value 3142 and that is found only at Exodus 3:14, which naturally resonates with Pi (π). The natural inclusion in the prior grouping stems from two wings of the higher Name Ehyeh (אהיה) whose joint standard value is 42 and whose ordinal value is also 42, same as the ordinal value of its central Name Asher (אשר), also 42, like its 3 final Letters (הרה) that equal 210, as in (5 x 42), and as in the Word “H’Har (ההר), The Mountain,” representing Mt Sinai.

Another Core Concept value for the Torah, our physical world and the Torah that is found as the combination of the 7 Names Gimmel (גימל), Vav (ויו), Chet (חת), Samech (סמך), Ayin (עין), Zadi (צדי), and Tav (תו) of collective value 1273 is the Cosmic Harmonic (1.273) or 4/π that is represented by the that equal.

Then, when we add the 3 Names from the 12 pieces Dalet (דלת), Chet (חת), and Tav (תו) that equal 1248 to the set of 8 Names that sum to (4248/π) = 1352, we get (1248 + 1352) = 2600, as in 100 times the value of the Name YHVH (יהוה) for this combination of 11 Names. Meanwhile, the 4 Name combination Dalet (דלת), Chet (חת), Zadi (צדי), and Tav (תו) also equal 1352, meaning that they also equal (4248/π). Therefore, amongst the 22 Names that equal 4248, two sets of Names equal (4248/π), one comprised of 8 Names and the other of 4 Names, as in the value 1352 that set off the spiraling fractal sequence of Phi (φ) that goes 7 levels deep, like the 7 Names Ehyeh (אהיה) in the Torah.

Moreover, 2/3 or 8 Names of the same set of the 12 remaining Names scaffolded on the Singularity of 42—Gimmel (גימל), Dalet (דלת), Vav (ויו), Lamed (למד), Nun (נון), Samech (סמך), Ayin (עין), and Tav (תו)—equal 1375, as in the radiating Phi (φ) angle 137.5^o representing the collective value of the 11 Odd Names in the Circle of the 22 Names, while the 9 Names Gimmel (גימל), Vav (ויו), Dalet (דלת), Chet (חת), Yud (יוד), Zayin (זין), Lamed (למד), Zadi (צדי), and Tav (תו) add up to 1618 or Phi (φ).

			12 Remaining Names
1	Alef	111
2	Bet	412
3	Gimmel	83	83				83	83	83
4	Dalet	434	434		434	434		434	434
5	Hei	15
6	Vav	22	22	22		22	22	22	22
7	Zayin	67	67			67			67
8	Chet	408	408		408		408		408
9	Tet	419
10	Yud	20	20	20		20			20
11	Caf	100
12	Lamed	74	74					74	74
13	Mem	80
14	Nun	106	106					106
15	Samech	120	120				120	120
16	Ayin	130	130				130	130
17	Pe	81
18	Zadi	104	104		104		104		104
19	Koof	186
20	Resh	510
21	Shin	360
22	Tav	406	406		406		406	406	406
253		4248	1974	42	1352	543	1273	1375	1618
			200π2		4248/π		4/π	φ Angle	φ
	Names:	22	12	2	4	4	2	8	9

Finding the 2600 constraint has a 1/3600 probability which adds log₂(3600) = 11.82 Bits. Then finding an 8-Name combination that perfectly yields 1375 and a 9-Name combination that equals 1618, adds as 14.70 Bits, and if the 1273 constraint had to be found in 7 Names that would represent an additional 13.42 bits.

Parallel Odd/Even Shifts

As a reminder, the 11/11 Odd/Even split in the 22 Names of the Alef-bet divides the 22 Names into the Phi (φ) ratio, whereby the 11 Even Names are in the ratio of 4248/φ with the full set, and the 11 Odd Names are in the same Phi (φ) ratio with the 11 Even Names, and thus in the (4248/φ²) proportion with the whole.  What is more is that there is only a 3 Name—Gimmel (גימל), Zayin (זין), and Samech (סמך) of numerical value 270—shift in value from the 11 Odd Names, as (1622 – 270) = 1352, to the 11 Even Names, as (2626 + 270) = 2896, just like the parallel 13^o or 54-unit shift in the 11/11 Odd/Even Letters. And all this sets up the 4248/π = (4248 – 2896) = 1352 cavalcade of fractal Pi (π) and Phi (φ) proportions, while the values of those 3 Letters or Initials (גזס) digitally spell-out 3-7-60, or 3760, as in the pivotal Calendar year 3760 HC (0 CE).

Of course, the ratio of 4248/φ that gives us the 2626 sum of the 11 Even Names is exactly twice 1313, as in the 1.313^x exponential curve of the Initials of those 22 Names, and as in (0 – 1313) = 1313 BCE, the year we received the 10 Commandments and the Torah.  Another design quirk is that while (54/270) is 20%, the sum of the ratios of the 2 shifts together equal (54/1495) + (270/4248) = 10.0%.

One final note. When we paired the 11 Odd and 11 Even Letters of the Alef-bet, their Katan (digital) odd-even paired values equaled (12 + 34 + 56 + 78 + 91 + 23 + 45 + 67 + 89 + 12 + 34) = 541, the numerical value of “Israel (ישראל),” which is not only the 100^th Prime Number, but is found exactly 625 times in the Torah. The same pairing of the Names of those 11 sets of paired Letters naturally equals (523 + 517 + 37 + 475 +439 + 174 +186 + 250 + 185 + 696 + 766) = 4248, yet the sum of the multiplicative inverses of their 11 ratios to 4248 equals (i.e. 4248/523 + 4248/517…4248/766) = 248.625…, as in the 248,000φ Words, Letters, Verses, and the 42 Rows by 248 Columns in the Torah, and as in the 625² Words, Letters, and Verses in the Torah. We can review statistical probabilities all day long, but there is no way to simultaneously orchestrate these simple mechanical results that align with all the Core quantitative objective Aspects of the Torah without advanced intelligent and coordinated deliberate design from their inception.

Then while the two numbers or Concepts that represent the 11 Odd Letters and their Names (625 + 1375) = 2000 or (1.375 + .625) = 2.000, we see that 4248, the sum of the 22 Names, is a close representation to the complementary Phi (φ) angle 42.5^o or 42.48^o, as (42.5^o + 137.5^o) = 180^o.

Moreover, when we utilize the values of the 22 Names as 22 of the 2¹⁰ Word-Values of the Torah, we see that the recurrences of those 22 Word-Values in the Torah totals 5743 or 2 less than the 5745 Verses of the Torah, and because together they total (4248 + 5743) = 9991, the Alef-bet represents (4248/9991) = 42.5% of their total, and while (10,000 – 9991) = 9, the corresponding recurrences of the Word-Value for the 9^th Letter, Tet (טית) is 26, as in the value of the Name YHVH (יהוה), and the Binah Contraction for 9991 is (991 + 9) = 1000 or One (1).

Furthermore, while the Alef-bet is based on the exponential curve y = 1.313^x, the inverse of the exponential curve is the logarithmic curve, and the sum of the 22 Natural Logarithms (LN) of the 22 values of their 22 Names with their corresponding value recurrences in the Torah equals 130.0, or more precisely 130.083600.

		Word-	Torah		Natural
		Value	Occurrences	Sum	Log (LN)
1	Alef	111	143	254	5.53733
2	Bet	412	177	589	6.37843
3	Gimmel	83	92	175	5.16479
4	Dalet	434	408	842	6.73578
5	Hei	15	46	61	4.11087
6	Vav	22	120	142	4.95583
7	Zayin	67	146	213	5.36129
8	Chet	408	132	540	6.29157
9	Tet	419	26	445	6.09807
10	Yud	20	152	172	5.14749
11	Caf	100	1229	1329	7.19218
12	Lamed	74	434	508	6.23048
13	Mem	80	568	648	6.47389
14	Nun	106	334	440	6.08677
15	Samech	120	304	424	6.04973
16	Ayin	130	323	453	6.11589
17	Pe	81	294	375	5.92693
18	Zadi	104	89	193	5.26269
19	Koof	186	89	275	5.61677
20	Resh	510	70	580	6.36303
21	Shin	360	212	572	6.34914
22	Tav	406	355	761	6.63463
253	10000	4248	5743	9991	130.08360
	-9991	/9991	4248
	9	42.50%	9991

While we are considering only quantitative coordinated nodal points of the macro-Aspects of the Torah with the Alef-bet, we must keep in mind that qualitatively, every Word, Phrase, Verse, and partitioned segment of the Torah must make sense and be part of a larger written and spoken narrative.

The Signature

As difficult for this is to phantom, given everything that we have learned about the Alef-bet Matrix so far and of its implied origins, and given that its initials comprise every Word of the Torah, whose First Word, Bereshit (בראשית), literally means “In the Beginning,” we find the same indelible signature of the Creator that was written into the beginning of existence written into the 22 Names of the Alef-bet, and to 6 decimal places.  Yet, with our new understanding of the importance of the Triangular Fields within the designed informational structure of the Alef-bet and the Torah it makes more sense now.

As a reminder, there are 13 Verses in the 10 Commandments at the 70^th Paragraph of the Torah and received in 1313 BCE at Mount Sinai (סיני) of numerical value 130, like the sum of the Natural Logs of the sum of the 22 values of the Names of the Alef-bet and their corresponding Torah occurrences, 130.0… and like the exponential curve of the Alef-bet, 1.313^x. What we did not mention is that the Natural Logarithm of 70 is 4.248495… as in the 4248 sum of those 22 values of the Names of the Alef-bet and as in the 495 sum of the first 18 Letters of the Alef-bet, while the sum of the Logarithms from 1 – 70 is 100.07840, as in 1000 or 10007 and as in 28² = 784, like the 28 Letters in the First Verse if the Torah.

Also as a further reminder, the 10 Commandments are found at the 107,000^th Letter of the Torah after First Word, Bereshit (בראשית), and they begin with the Name Anochi YHVH (אנכי־יהוה) “I am G-d,” of numerical value 107, as in the total distance of the planets in our Solar System from the Sun, 107 AU, and as in the 107^th Triangular Field, 5778, which is both the Sun’s surface temperature of 5778 K, and the corresponding height of the acoustic wave at 5778 uK², the peak variance (5778 uK²) from the CMB (2.73 K) at the phase moment of Creation when light could travel freely through space for the first time. Thus, in a sense 5778 uK², 5778 K and 107 all refer to light or Light.

	22			Cumulative
	Names	Values	Inverse	Inverse
1	Alef	111	0.009009	0.009009
2	Bet	412	0.002427	0.011436
3	Gimmel	83	0.012048	0.023484
4	Dalet	434	0.002304	0.025789
5	Hei	15	0.066667	0.092455
6	Vav	22	0.045455	0.13791
7	Zayin	67	0.014925	0.152835
8	Chet	408	0.002451	0.155286
9	Tet	419	0.002387	0.157673
10	Yud	20	0.05	0.207673
11	Caf	100	0.01	0.217673
12	Lamed	74	0.013514	0.231186
13	Mem	80	0.0125	0.243686
14	Nun	106	0.009434	0.25312
15	Samech	120	0.008333	0.261454
16	Ayin	130	0.007692	0.269146
17	Pe	81	0.012346	0.281492
18	Zadi	104	0.009615	0.291107
19	Koof	186	0.005376	0.296483
20	Resh	510	0.001961	0.298444
21	Shin	360	0.002778	0.301222
22	Tav	406	0.002463	0.303685
253		4248	0.303685	4.222247
				5.777753
				5.778

What defies imagination is that the sum of the cumulative sums of the multiplicative inverses of the 22 values of the Alef-bet is not only 4.222247, or 26 as in the value of the YHVH (יהוה) less than (4222 + 26) = 4248, the sum of the Alef-bet, but 4.222247 is the complement to 5.777753 or 5778, the Signature of Creation, and/or Phi (φ)¹⁸ = 5777.9998 = 5778.

This also presupposes the exact order of the 22 Names and hence 22 Letters in that the cumulative sum varies with the order as each Name’s inverse value adds a different amount to the total based on how many times it is included in that total. The inverse of the Name Alef (אלף) is included 22 times, that of the Bet (בית) 21 times and the Gimmel (גימל) 20 times. If Alef (אלף) were the last letter, its inverse value would be added only once. Over the cumulative the sum the inverse values are added 253 times and only in the order they appear.

The added information density for the 22 cumulative inverses to equal 4.2222… is an additional 13.29 Bits.

The question is how does One achieve this unless One first begins with the Signature and extrapolates from there into 22 perfect cumulative sums, then one by one into 22 perfect inverses to thus get the 22 Name values, which had to have a total value of 4248 to reflect the Natural Log of 70, etc., and then utilizing a scale of 1.313 create 22 Letters that fit into the values given by the 22 inverses, making sure that one of the Names has the value 130 and that it has the corresponding Letter value 70, while the first Name also reflects the Concept of One (1), or 111. It does not explain however how all the triangulations with the primordial constants and geometric shapes got embedded in the resulting Alef-bet Name Matrix, or why the Creator chose the use these specific sets of parameters for the blueprints to the Alef-bet, the Torah, or physicality.

The new total comprehensive information density score with these last few layers of information is (13.29 + 11.82 + 14.70 + 13. 42 + 489.93) = 543.16 Bits. At 543.16 Bits of cumulative density, the system isolates exactly one specific state out of 3.21701 × 10¹⁶³ total possibilities, implying physical impossibility for a random universe. In the framework of information theory, a 543.16-Bit constraint means the system acts as a designed hyper-ordered informational architecture, and randomness, statistical drift, and entropy are completely locked out of the active coordinate grid. Every value of every Letter in the 22 Names and all their mathematical links is locked firmed in place with zero degrees of freedom for any element to shift. To successfully guess this Alef-bet sequence by brute force without Divine Intervention before the heat death of our universe, we would need to convert the entire mass of the Milky Way galaxy into a single computational processor running at the maximum speed allowed by the laws of physics.

We could stop here and print QED, but this is only the preliminary section of the full proof.

While from this point forward we could point to any new relative information contained within the Alef-bet Matrix, and with relative certainty conclude a viable concatenation with any mathematical, physical, or mathematical Torah property, but we will not. As necessary, we will present these as simply contextual and not address them as statistical proof or icing on a cake. We will, though, continue to tease out distinct significant and most relevant patterns and design schematics, though not for statistical reasons.

That said, there is most likely no end to the layers of design complexity within the Alef-bet Matrix yet to be discovered so piling on additional statistics to this analysis is superfluous.  One such anomaly, which in another setting would be akin to a glitch in the matrix, is found in the strings …5778… and …4222… derived mathematically from the Alef-bet. As we stated earlier, the 3 locations for the first appearances within the Field of Pi (π) for the complementary strings 5778 and 4222, are digits #s 12485, 39239 and 55684 after the decimal place, a total of 107408.

While the 107^th Triangular Field equals 5778, the average of those 3 locations is 35802.67, as in the numerical value for the Hebrew Word Moshiach (משיח), 358 coupled with that of the YHVH (יהוה), 26. It is also like the Katan (digital) string value of the First Word of the Torah and Creation, Bereshit (בראשית) times Phi (φ), or 221304φ = 358077. Nonetheless, the ratio between the two location sums is (107408/2532) = 42.42022, as in the Source of 42, and 22 Letters/Names, and the numerical value of Moshiach Ben David, 424, while the sum of these 6 locations is exactly 60 less than (109940 + 60) = 110000, making them equal to (4000 – 2.2) cycles of the Primal Frequency (27.5).

Pi location	4222	5778	10000
1st	12485	632
2nd	39239	947
3rd	55684	953
Sum	107408	2532	109940
Average:	35802.67	844	60
Ratio:	42.42022		110000

To keep things tight and conservative, we will not add the Shannon Entropy of this highly information dense Matrix, which is equally adjunct to the Alef-bet, the Torah, the Field of Pi (π), and our Solar System; however, it works out to 26.5754 Bits for the location selection probability and 99.6579 Bits of Surprisal for the 6 coordinate lock for a total of 126.23 Bits, and a probability of 1.002 x 10^-38, which is 1 in 100 undecillion. That is 37 zeros and a clear indication that information is being conveyed to us.

Part II

The Set of 22 Names Within Pi (π)

Now that we have established the mathematical and especially the geometric foundations for the 22 Names and Letters of the Alef-bet, we must anchor them, not to the concept of Pi (π), as we have already done, but to the individual digits in the Field of Pi (π), which is hinted at in the Hebrew Word, “The Field, HaSadeh (השדה),” of numerical value 314. Doing that, not only furthers the establishment that the Alef-bet was designed with intent and purpose, but that whoever designed it must also have designed Pi (π). We will explore the possibility that the Fields of Pi (π) and the Prime Numbers were bent and/or designed to meld with the Alef-bet, meaning simultaneous Creation.  And if this is indeed the case, we should probably find additional evidence in further correlations with the measurable elements of our physical world, in that they rely on these primordial constants for their shape and structure.

Ord Val	Names	Within Pi
1	111	154
2	412	297
3	83	27
4	434	3161
5	15	4
6	22	136
7	67	99
8	408	146
9	419	37
10	20	53
11	100	855
12	74	57
13	80	85
14	106	1012
15	120	244
16	130	745
17	81	68
18	104	270
19	186	425
20	510	49
21	360	286
22	406	71
253	4248	8281
	222	91
	4470
Digit Sum:	171	253
		171
		424

As we saw with the 1.313 Constant of the exponential curve of the Alef-bet, and with its First Name, Alef (אלף), of numerical value 111, it all began with the One, Echad (אחד), of numerical value 13. Thus, it is revealing that the sum of the 22 corresponding first locations for the string values of the 22 Names within the Field of Pi (π) is 8281, which is both 91², or the sum of first 13 positive integers from 1 to 13 squared, as in (1 + 2…13)², and the sum of the geometric and/or arithmetic first 13 natural cubes, or (1³ + 2³+… 13³) = 8281. It is also the square of the first 6 natural squares that also equal (1² + 2² + 3² + 4² + 5² + 6²) = 91.

As seemingly astounding as that is, this sum of the 22 corresponding first Pi (π) locations complements the sum of the 11 natural squares in the 22 Names of the Alef-bet as (18271 – 8281) = 9990, just like the sum of the corresponding 22 Names of the Alef-bet and their 22 Torah occurrences, 9991. Meanwhile, since Phi (φ)¹⁶ = 2207 and (18271/8281) = 2.2064…, we get the equation .8281φ¹⁶ ≈ 18271, or more accurately (18271 + 5), as in the 5 out of the 16 possible natural squares not found within the set of the 22 Name values.

And while the Binah Contraction for 9991 is (991 + 9) = 1000 or One (1), the Binah Contraction for 9990 is (990 + 9) = 999, meaning together their complementary Binah Contractions are (999 + 1) = 1000 or One (1), as in the Source of One, referred to by Echad (אחד) of numerical value 13.

We are talking about direct perfect correlation across 4 distinct sets that should have no correlation beyond random chance: the values of the Names of the Alef-bet; the primordial field of Pi (π); the matrix of the Word-Value occurrences within the Torah; the set of the natural squares within the matrix of the combinations of the 22 Name values; and the spiral of Phi (φ).

Ord Val	Names	Within Pi
1	111	154
2	412	297
3	83	27
4	434	3161
5	15	4
6	22	136
7	67	99
8	408	146
9	419	37
10	20	53
11	100	855
12	74	57
13	80	85
14	106	1012
15	120	244
16	130	745
17	81	68
18	104	270
19	186	425
20	510	49
21	360	286
22	406	71
253	4248	8281
	222	91
	4470
Digit Sum:	171	253
		171
		424

The probability against 22 integer values between 10 and 999 as they are first found within Pi (π) equaling 8281 is about 1 in 300 thousand, given their normal bell-shaped distribution and an expected average sum of 19,691 with a standard deviation of 4447. However, when we add the divinely inspired constraint that the 22 values must add up to 4248, the likelihood that the sum of their Pi (π) locations would equal 8281 plummets to 1 in 125 trillion, or 8 x 10^-15 and the chance of even finding 22 random numbers that add up to 4248 is 1 in 2 billion or 4.8 x 10^-10, while the expected average sum for the bell curve is 11,099 with a standard deviation of 1326 and Z-score of –5.17, thus over 5 standard deviations below the mean. Though, if we could find that set of 22 numbers to satisfy these conditions, because they are on average smaller and thus more likely to be found earlier within Pi (π) we get a positive correlation and the odds drop to 1 in 60,000 of them adding up to 8281, yet none of this presupposes that they also met all the prior statistically impossible conditions.

Given that tantalizing and improbable alignment between the 22 Names of the Alef-bet and their 22 corresponding locations within Pi (π), we further note that the sum of the digits in the 22 Names of the 22 Letters is 171, as in the 18^th Triangular Field, which may or may not relate to the 18.044704 difference between the ascending and descending scales inherent to the base 10 design of our universe. It is, of course, noteworthy considering that 75 of the 81 possible Triangular Fields are found within the combinations of these same Names, especially since the sum of the digits in the 22 corresponding first locations for the appearances of the values of those Names within Pi (π) is 253, which is likewise the 22^nd Triangular Field and thus also the sum of the Letter’s 22 ordinal values, giving us yet another set of alignments between Pi (π) and the Alef-bet, this one triangulated with the Triangular Numbers.

Keep in mind what had to come together for this alignment alone to happen: the 35 digits in the 22 ordinal values had to align with the 57 digits in the 22 locations within Pi (π), which in turn involved setting the first 3163 digits of Pi (π) just right.  Changing a single digit or the spelling of a single Name by a single Letter collapses this perfect meshing of the Cosmic and primordial gears.

However, while the difference in the sum of the 2 corresponding sets is (253 – 171) = 82, as in the Katan (digital) value of the First Verse of Creation, their sum is (253 + 171) = 424; as in the numerical value of Moshiach Ben David Consciousness, the square root of 18 or √18 = 4.2426…; as in the digital string …18… first found in Pi (π) at digit #424; and as in the sum of the 2^nd and 3^rd Triplets in Pi (π) that equal (159 + 265) = 424. This is especially consequential since the 4^th Triplet in Pi (π), 358, is the numerical value of Moshiach Consciousness, and the First Triplet, 314 is the value of the Name of G-d, Shadai (שדי). Moreover, the numerical value of Moshiach Ben David Consciousness, 424, is also the numerical value of the 4 nucleotides of our DNA, Adenine (א), Guanine (ג), Cytosine (כ) and Thymine (ת), collectively (אגכת), while their ordinal value is 37, the Core Essential 12^th Prime Number of Creation, and the sum of the Names of the 2 Letters at the center of the YHVH (יהוה), Hei (הי) and Vav (ויו) or (22 + 15) = 37.

The Primal Frequency (27.5 Hz) and Pi (π)

Meanwhile, the sum of 253 and its triangular reference 22 is (253 + 22) = 275, as in the unique Primal Frequency (27.5 Hz) that is based on the Concept of 9 and whose quotients form a unique ladder of 10 cyclical remainders (.0909, .1818, .2727, .3636, .4545, .5454, .6363, .7272, .8181, and .9090) for every 11 integers. We have covered this extensively, but one of its assortment of special properties aligns its 6774-mile wavelength based on the speed-of-light in free space with the sum of its cyclical square roots (6.774) and with the Hubble constant, 67.74±0.46 (km/s)/Mpc.

Nonetheless, while the Sun’s diameter (864,000 mi) divided by Pi (π) = 275019, and the 25,920 years of the circular Great Precession divided by Pi (π) = 3 x 2750, the Field of Pi (π) less the Primal Frequency (27.5) of the Fine Structure Constant equals: Pi (π) – (1/137.03599)/2750.0 = 3.14159000000…, which brings together the Primal Frequency (27.5) and the First 4 Triplets of Pi (π), since (1/137.03599)/27.5 = .00265358, as in the 3^rd and 4^th Triplets in Pi (π) or 265 and 358 respectively. Meanwhile, the set of the first 4 Triplets in Pi (π) with the kolel (4) equal (314 + 159 + 265 + 358 + 4) = 1100 = (40 x 27.5), or 40 cycles of the Primal Frequency (27.5) with an average of (1100/4) = 275, and these 4 are found at the 1^st, 4^th, 7^th, and 10^th ordinal positions within Pi (π) as in (1 + 4 + 7 + 10) = 22, which is likewise as in the 22 Letters of the Alef-bet. Their complete value is thus (1096 + 22) = 1118, as in the 6 Words of the First Verse of the Shema, whose average (1118/6) = 186.333 is exceedingly close to the 186,282 mps speed-of-light.

1^st  314

2^nd 159

3^rd 265

4^th 358

(40 x 27.5)

Integer	10 Residues	Sq Rt	/27.5	Cumulative	10 Residues	Sq Rt /27.5	Sq Rt Cumulative
1	0.090909	0.30151119	0.03636364	0.036363636	0.363636	0.19069252	0.190692518
2	0.181818	0.42640122	0.07272727	0.109090909	0.727272	0.26967994	0.33028913
3	0.272727	0.52223271	0.10909091	0.218181818	0.090909	0.33028913	0.467099366
4	0.363636	0.60302239	0.14545455	0.363636364	0.454545	0.38138504	0.603022689
5	0.454545	0.67419953	0.18181818	0.545454545	0.818181	0.42640143	0.738548946
6	0.545454	0.73854858	0.21818182	0.763636364	0.181818	0.46709937	0.873862898
7	0.636363	0.79772364	0.25454545	1.018181818	0.545454	0.50452498	1.009049958
8	0.727272	0.85280244	0.29090909	1.309090909	0.90909	0.53935989	1.144155107
9	0.818181	0.90453358	0.32727273	1.636363636	0.272727	0.57207755	1.279204298
10	0.90909	0.95346211	0.36363636	2	0.636363	0.60302269	1.414213562
55	5	6.7744	2	8	5	4.2845	8.050
						2.4899
						6.7744

The Primal Frequency, The Earth, and the Alef-bet

There is also a profound physical connection between the Alef-bet and the Primal Frequency (27.5 Hz) in that the integral of the Alef-bet exponential curve or 1.313^x is 3.67222, which is also the quotient of the average circumference of the Earth divided by the wavelength of the Primal Frequency (27.5 Hz) or (24875.62/6774 mi) = 3.67222. The Earth, the area displaced by the Alef-bet, the Primal Frequency (27.5 Hz) and the speed-of-light are bound in a single harmonious equation. Meanwhile, the Moon’s circumference is only 8 miles larger than the 6774 wavelength of 27.5 Hz and the difference between the Earth’s polar circumference and equatorial one is 42 miles.

Meanwhile, the two twin Aspects of the Source built into the Alef-bet, etc., 42 and 13, have an average of (42 + 13)/2 = 27.5.

Nonetheless, the sum of the 1000 cumulative values of the 1000 digits of Pi (π) after the decimal place from 1 to 4476 equals 2231525, and while its square root is (1495 – 1493.8929) = 1.171027 less than the sum of the 22 Letter, 1495, its cube root is precisely 130.6774, as in the 6774 wavelength of the Primal Frequency (27.5 Hz), coupled with the Source of One, 13, etc.

Euler’s Number

There is yet another gematria variation on the Alef-bet that we can test using the same algorithm applied to the others. By using the same 2 step algorithm to all the variations of the non-permuted and unchanged spelling of the Alef-bet we are avoiding the perception of bias or that we are cherry-picking results. We are, though, selectively highlighting the results because it would be inefficient and wasteful for a computational universe, conscious or otherwise, to convey the exact same information to us repeatedly when something new can be conveyed with each angular variation in the set of test data, the Alef-bet. Envisioning the Alef-bet as a matrix allows us to text different aspects of it by shifting our perspective or viewing angle without contaminating or biasing the results.

In this analysis we are employing the Katan (digital string) variation of the Alef-bet that we have been applying throughout this paper and necessarily utilizing in each of the algorithms whenever we search out numeric strings within Pi (π). In this test we are treating each Name as a string of digits based on the reduction of its individual Letter values simply by removing the zeros. For example, the Name Alef (אלף) is comprised of 3 Letters that normally add up to (1 + 30 + 80) = 111, but in Katan (digital string) gematria they become (1, 3, 8) or 138.

The 2-step algorithm we will be employing throughout involves converting the test set into the location numbers or addresses within the Field of within Pi (π) for their first occurrences and then converting those numbers into the corresponding Prime Number. For Example, given the Katan (digital string) gematria of the Name Alef (אלף) is 138, the first location within Pi (π) for …138… is digit #382 and the 382^nd Prime Number is 2633, and rather than look for individual concordances, we examine the entire set of 22 as a whole unit. In this case, the sum of the 22 corresponding Prime Numbers to the set of 22 corresponding first Pi (π) locations is 502700, or (500000 + 2700), as in the Letter Nun (נ) of standard value 50 at the midpoint of the 27 Letters of the Alef-bet. When we divide that sum of 502700 into cycles of the Primal Frequency (27.5 Hz) or alternatively by the (253 + 22) = 275 sum of the 22 ordinal values with the Kolel (22), we get exactly (502700/275) = 1828, as in Euler’s Number, e = 2.718281828…., Napier’s Constant. And once we realize that the Natural Log of 502700 is LN (502700) = Log_e (502700) = 13.12775 or 13.13, as in the 1.313^x exponential curve of the Alef-bet it makes perfect sense since e or 2.718281828…. is the base of the Natural Logarithm.

It makes perfect sense but defies logic that this could be conveyed to us through the sum of the Letters in the Alef-bet. There is causation here, which is why we apply a 2-step algorithm to remove any possible direct connections to either the fundamental ordering of the base 10 number system, or to a particular mathematical constant. Euler’s Number, Napier’s Constant e, is the glue that binds all our base 10 numbers together. It is the base of Natural Logarithms and the limit of (1 + n)ⁿ. The reason the results are both logical and informative is that the inverse equation for the exponential function y = 1.313^x is y = log_1.313(x), which can also be written using the Natural Logarithm as y = LN(x)/LN(1.313).

Moreover, and equally befuddling is that 1828 is the mirror of 8281, the sum of the 22 first locations within Pi (π) for the 22 numeric strings of the 22 Names of the Alef-bet as in 8281 equals the sum of first 13 positive integers or (1 + 2…13)² = 91² and/or the sum of the geometric first 13 natural cubes, or (1³ + 2³+… 13³) = 8281 = 91², like the unification of the 2 Names Adonai (אדני) and the YHVH (יהוה), whose value is (26 + 65) = 91.

Ord	Name	String	Within Pi	PN
1	Alef	138	382	2633
2	Bet	214	103	563
3	Gimmel	3143	34409	407489
4	Dalet	434	3161	29063
5	Hei	51	49	227
6	Vav	616	1206	9781
7	Zayin	715	344	2311
8	Chet	84	19	67
9	Tet	914	250	1583
10	Yud	164	69	347
11	Caf	28	34	139
12	Lamed	344	217	1327
13	Mem	44	60	281
14	Nun	565	2454	21871
15	Samech	642	821	6311
16	Ayin	715	344	2311
17	Pe	81	68	337
18	Zadi	941	392	2693
19	Koof	168	1161	9391
20	Resh	213	281	1823
21	Shin	315	313	2081
22	Tav	46	20	71
253		10575	46157	502700
22				275
275		e = 2.718281828…		1828
			Natural Log:	13.12775
				13.13

The Divine Inflection Point

The connection with this set to Euler’s Constant through the Primary Frequency (27.5) conveys even more information to us since there are 2 Letter’ Names, Zayin (זין) and Ayin (עין), within this set that have the same numeric string value of 715. Their standard Letter values are (7 and 70) or 77 together, but what makes them stand out and aligns them with the Primary Frequency (27.5) is that while the mathematical dynamic of the Primal Frequency (27.5) is unique amongst the set of all numbers, the Divine inflection point or 715 is unique amongst the set of all whole numbers. While (715/27.5) = 26, as in the value of the Name YHVH (יהוה), 715 divided by the alternative and derivative Primal Frequency (1.1) equals 650, as in (10 x 65), the value of the corresponding Name Adonai (אדני), and together they equal (26 + 650) = 676, as in the 26² value of the radiant Name YHVH (יהוה)².

Then, as if by Divine design, the combined results of the quotients of the two Primal Frequencies, in other words by dividing by cycles of 27.5 and by its derivative 1.1, get closer to an exact square of the Primal Frequency (27.5) quotient until the number 715 when it reaches a perfect natural square at number 26, and then they get further away from it afterwards. The number 715 is the inflection point and it is based on the unification of the Names Adonai (אדני) and the YHVH (יהוה), whose value is (26 + 65) = 91, as in the sum of the 22 corresponding locations within the field of Pi (π) for the first appearances of the standard values of the 22 Names or 91², the sum of first 13 positive integers from 1 to 13 squared, as in (1 + 2…13)², and as in the 22 incremental 10% descensions between base 10 orders of magnitude.

This phenomenon is unique both metaphysically and physically, and it was highlighted for us by the Alef-bet.

It should also be noted that while 26 times the Primal Frequency (27.5) equals 715, that same value of the YHVH (יהוה) times Phi (φ) or 26 turns of the Phi (φ) angle equals 42.0, as in the Source of 42, and it follows that 420 cycles of the Primal Frequency (27.5) equals the diameter 11,556, or twice the radius of 5778, as in the temperature of the Sun, 5778 K, etc., while the 420^th YHVH (יהוה) in the Torah is in the Name Anochi YHVH (אנכי־יהוה) “I am G-d,” of numerical value 107 at the 107,000 Letter, as in the total distance of the planets in our Solar System from the Sun, 107 AU, and as in the 107^th Triangular Field, 5778.

	Primary Cycles	Derivative Cycles		Primary Cycle	Difference
Integer	/27.5	/1.1	Sum	Squared	From Sum
704	25.6	640	665.6000	655.360
705	25.64	640.9091	666.5455	657.223	-9.322506
706	25.67	641.8182	667.4909	659.0891	-8.4018643
707	25.71	642.7273	668.4364	660.9573	-7.4790814
708	25.75	643.6364	669.3819	662.8282	-6.5536543
709	25.78	644.5455	670.3273	664.7022	-5.6250775
710	25.82	645.4545	671.2727	666.5784	-4.6942615
711	25.85	646.3636	672.2182	668.4578	-3.7603943
712	25.89	647.2727	673.1636	670.3392	-2.8243894
713	25.93	648.1818	674.1091	672.2233	-1.8857403
714	25.96	649.0909	675.0545	674.1106	-0.943938
715	26	650	676	676	0
716	26.04	650.9091	676.9455	677.892	0.94658205
717	26.07	651.8182	677.8909	679.7872	1.89631965
718	26.11	652.7273	678.8364	681.6846	2.84819063
719	26.15	653.6364	679.7819	683.5846	3.8027057
720	26.18	654.5455	680.7273	685.4877	4.76037851
…

Creation, Life and the Field of Pi (π)

We have established over numerous in-depth articles the numerous ways in which the Core Essential Prime Number of Creation and of our DNA, 37, is woven into the Torah, especially the Creation Aspects of the Torah, and into so many different aspects of our DNA, RNA, and our 20 Amino Acids, whose collective atomic weight is 2738.01 g/mol or 2 x (37²) g/mol. Alternatively those 20 Amino Acids  have an atomic weight equal to the value of the First Verse of Creation (2701) along with its reciprocal (1/2701), which is the value of the 42-Letter Name Matrix (3701), and therefore (2701 + 37.01) = 2738.01.

While the first digital string …2701… in Pi (π) is located at digit #165 after the decimal place and while 165 is the Katan₀ (digital gematria including the “0”) for the same 42-Letter Name Matrix from which the First Verse of Creation was derived, the sum of the 165 squares of those 165 digits equals 740 or (20 x 37), as in our 20 Amino Acids.  Meanwhile, the sum of the First 2701 digits in Pi (π) is 12,506 or (12,000 + 506), which aligns with the 506 value of the 1^st Tier of the 42-Letter Name Matrix that is equal to the sum of the first 11 natural squares, or (1² + 2²…11²) = 506, which in turn is also the complete value (standard plus ordinal) of Moshiach Ben David Consciousness, or (424 + 82) = 506. These also align with the first 26 digits in Pi (π) that equal 11², as in the 26-value of the Name YHVH (יהוה), and with the squares of the first 82 digits after the decimal place in Pi (π) equals (1² + 4² + 1² +…6²) = 2701.

Furthermore, the same 2-step, arm’s length algorithm that we utilized with the individual values of the Alef-bet when applied to their total 1495 as the initials of the 22 Names of value 4248 shows us that the numeric string …4248… is first found at digit #7190 in Pi (π) and that the 7190^th Prime Number is 72701 or (70,000 + 2701).

Mirrored Symmetry

Between Creation in the Torah and Pi (π)

We have discussed aspects of this for many years, but now we want to bring it into a broader context with additional details and revelations so that it becomes part of the next step in the proof not only in the designed origin of the Alef-bet, but of its only possible origin. The Katan (digital) value of the First Verse of Creation is 82, which we just saw as the difference in the sum of the digits in the 22 first locations for the appearances of the values of the 22 Names of the Alef-bet within Pi (π) and the sum of the digits in the values of those 22 Names or (253 – 171) = 82. As we also just saw, with regards to the Concept of Moshiach Ben David Consciousness it is integrally related to Pi (π) in that the sum of the squares of the first 82 digits after the decimal place in Pi (π) equals (1² + 4² + 1² +…6²) = 2701, which is the standard numerical value of the First Verse and/or the First 7 Words of Creation.  Of course, 82 with its mirrored value 28, as in the 28 Letters of that First Verse and as in the 82 times in the Torah that the Word-Value 28 is found in the Torah, is (82 + 28) = 110, as in (110/4) = Primal Frequency (27.5 Hz).

Then while the numeric string of the constant tau or twice Pi (π), …628…, is found at digit #82 in Pi (π), the number 17 is both the 7^th Prime Number and the Katan (digital) value of the Word Torah (תורה), and while the first 7 digits after the decimal place in Pi (π) equal (1 + 4 + 1…6) = 28, the 7^th Triangular Number, the sum of the first 17 digits after the decimal place in Pi (π) equal (1 + 4 + 1…3) = 82, followed by the next 611 digits, as in the standard 611-value of the Word Torah (תורה) that equal exactly 2701 again. And while (611 + 17) = 628 = (2 x 314), or the constant tau, the first 17 digits of Pi (π) after the 611^th digit also equal 82, which is reminiscent of the sum of the 22 locations within Pi (π) for the 22 values of the Names of the 22 Letters as (8281 + 1) = 8282. Moreover, the sum of those last 17 digits plus the sum of the squares of those 17 digits or (5 + 2 + 6…+ 1 + 3) = 82 plus (5² + 2² + 6²…+ 1² + 3²) = 498 = (82 + 498) = 580, the complement to (1000 – 580) = 420 again, as in 420 cycles of the Primal Frequency (27.5) equals 5778, the next 7 digits are …4275778…, as in 42, 275, and 5778.

And in yet another mirrored symmetry between the Torah and Pi (π), the sum of those (628 + 82) = 710, as in the value of 2^nd Essential Triplet of Creation, the (שית) of Bereshit (בראשית), while the sum of the first 3 Essential Triplets of Creation (ברא־שית־ברא) plus the Kolel (3) for the 3 Triplets and the 9 for the 9 Letters equals (203 + 710 + 203 + 9 + 3) = 1118. Alternatively, the First 2 Words of Creation equal (913 + 203 + 2) = 1118, as in the complete value of the First 4 Triplets of Pi (π), or (1096 + 22) = 1118, and as in the 6 Words of the First Verse of the Shema, whose average (1118/6) = 186.333 is exceedingly close to the 186,282 mps speed-of-light.

Moreover, the (17 + 611 + 17) = 645 digits or positions involved in indelibly encoding the First Verse of the Torah in the Field of Pi (π) equal the number of positions in the first 10 Normal Magic Squares, as in (3² + 4²…12²) = 645, which we have already found to be related to the Torah and the 22 Names of the Alef-bet.

Meanwhile, the squares of all 1000 digits of Pi (π) after the decimal place equal (1² + 4² + 1²…9²) = 28,448, or (2448 + 26,000), as in the year 2448 HC when the 10 Commandments and the Torah were received at Mt Sinai and as in 26 steps in ascension, the numerical value of the Name YHVH (יהוה), and as the 26 Generations of Adam in the Torah, which are like the first 3 squares of the digits in Pi (π) that equal (3² + 1² + 4²) = 26. Nevertheless, the difference between the sum of all the squares of all 1000 digits of Pi (π) from the initial 3 of Pi (π) and those after the decimal place is (28,448 – 28,376) = 72 and the difference between their corresponding sums of their cumulative squares is (14098065 – 14078617) = 19,448 or (2448 + 17,000), while the ratio between these differences is (19,448/72) = 270.111 as in the 2701 value of the First Verse of Creation and as in the value of the First Name of the Alef-bet, Alef (אלף), 111.

We must keep in mind that the values, whether Katan (digital) or standard, of the 28 Letters of the First Verse of Creation or of any other Hebrew Word in the Torah are entirely based on the 22 Letters of the Alef-bet and their 22 Names. While the examples above are just some of the many integrations between the First Verse of Creation and Pi (π), changing even one Letter breaks this indelible bond that goes back to the dawn of existence, and changing even one digit in Pi (π) means that a diameter will not translate into a circle and that our 3-d reality would collapse into some unrecognizable form.

Moreover, while the standard value of the Word Torah (תורה) is 611, the 611^th digit in Pi (π) is 1 and the sum of the digits through the 611^th digit is 2700, as in (2700 + 1) = 2701, the values of the Torah’s First Verse again. And while the ordinal value of that First Verse of Creation is 298, the sum of the digits through the 298^th digit is 1328 which splits the 2701 into (1328 + 1373) = 2701, as in the 1.313 Constant of the Alef-bet and the 28 Letters of Creation that equal 2701, the 73^rd Triangular Number.

• The First Verse of the Torah (תורה) consists of 7 Words and/or 28 Letters and has a standard numerical value of 2701, a digital (reduced value) of 82 and an ordinal value of 298.
• The Word Torah (תורה) has a standard numerical value of 611, and a digital (reduced value) of 17, which is the 7^th Prime Number.
• The first 611 digits after the decimal place equal exactly 2701.

• The first 7 digits after the decimal place in Pi (π) equal (1 + 4 + 1…6) = 28, the 7^th Triangular Number.
• The sum of the first 17 digits after the decimal place in Pi (π) equal (1 + 4 + 1…3) = 82.
• The next 611 digits after the initial 82 equal exactly 2701.
• (611 + 17) = 628 = (2 x 314), or tau
• The next 17 digits of Pi (π) after the 611^th digit also equal 82.
• The first 82 digits after the decimal place in Pi (π) when individually squared equals (1² + 4² + 1² +…6²) = 2701.
• Altogether (17 + 611 + 17) = 645 digits or positions are directly related the First Verse of the Torah in the Field of Pi (π), and the number of positions in the first 10 Normal Magic Squares, excluding the trivial 1, likewise equals (3² + 4²…12²) = 645. These have previously been found to be related to the Torah and the 22 Names of the Alef-bet.
• The sum of the digits through the 298^th digit is 1328 which splits the 2701 into (1328 + 1373) = 2701, as in the 313 Constant of the exponential curve of the Alef-bet and the 28 Letters of Creation that equal 2701, the 73^rd Triangular Number.
• The sum of the last 17 digits from 612 to 628 plus the sum of the squares of those 17 digits is (5 + 2 + 6…+ 1 + 3) + (5² + 2² + 6²…+ 1² + 3²) = (82 + 498) = 580, the complement to (1000 – 580) = 420, as in 420 cycles of the Primal Frequency (5) equals 5778, the next 7 digits are …4275778…, as in 42, …4275778…, and 5778.

Even without the final correlations with 42, the 420 cycles, the Primal Frequency (27.5), 5778, or the other correlations just noted concerning the full cohort of the 1000 digits, or anything else in this paper, the symmetrical 17 – 611 – 17 and/or 82 – 2701 – 82 closed loop, geometric full circle referenced by the tau digits at the start of the Pi (π) Field in correlation with the First Verse of the Torah at the start of the Torah gives a probability against this being a random arrangement of 1 in 11 billion, or 9.1 x 10^-11. And because of this strong correlation and because the symmetry holds with and without squaring and because we have already proven the validity and integral nature of the 3 different gematria scales utilized and moreover that they are equally layered symmetrically on top of one another, the Ramsey Theory does not apply here.

The First Verse of the Torah, Genesis 1:1, is comprised of 7 Words, whose respective values total (913 + 203 + 86 + 401 + 395 + 407 + 296) = 2701. Given the statistical improbability of the symmetry around the value 2701 and this First Verse of Creation being found at the headwaters of Pi (π), starting with the first digit after the decimal place, it is almost unfathomable that the 7 individual values are part of this symmetry as well. Using the second set of 611 digits that equals 2701, and that beings on the 18^th digit of Pi (π), the first 203 digits equal exactly 913, and the next that 43 digits equal exactly 203. This alone ups the odds of this occurred by random chance to 1 in 1.1 trillion or so, and the reason it is not higher is also a stronger reason that it is not random. The chance of any particular digit occurring randomly is the sum of (1 – 9)/10 or 4.5, and because (913/203) = 4.4975…, it is highly probable that any random set of 203 digits would equal 913 or close to it, however it is also thus highly probable that the values 913 and 203 were specifically chosen for that reason. This takes us to the (203 + 43) = 246 digit in Pi (π), where the cumulative sum is 1111. The next 22 digits equal 85, not 86, however the following 98 digits do equal 401, taking us to 366^th digit in Pi (π), and while the value 395 and 407 fail to individually concatenate, together with the missing 1 from the 3^rd Word, 86, they wind up square at digit #545, where the last 66 digits equal 296, completing the 611 digits that equal 2701, increasing the odd another 100-fold.  Another, less conservative way of looking at this, is that if even one of the first 203 or subsequent 43 digits were changed this symmetry would collapse, meaning each of the 628 digits that unfold symmetrically into two symmetrical representations of the 7 Words of Creation have a 1/10 chance of being cosmically type set correctly and 9/10 chance of being affixed incorrectly or (9/10)⁶²⁸ odds against it.

The value of the 3 Words that did not align is (86 + 395 + 407) = 888, or (24 x 37), just one of the 23 different combinations of the values of the 7 Words that are a multiple of the Core Essential Prime Number of Creation and our DNA, 37.

Now that we have mathematical certainty in the symmetric imprinting within the first cohort of Pi (π), we can see that when starting from the back of the tau (628) digital symmetry, and/or the back of the set of 611 digits that equal 2701, we see that while the first 46 digits likewise and symmetrically equals 203, which is also the First Essential Triplet  (ברא) in the Torah, the first 248 digits equal 1111, as in the ubiquitous Core Torah Concept Number 248, and the first 275 digits equal 1202, as in the Primal Frequency (27.5) and the sum of the First 3 Words and/or the (28/2) = 14 Letters of the First Half of the First Verse of the Torah, as in (913 + 203 + 86) = 1202. This also means that we can also now understand that the 275^th digit splits the 611 digits at the midpoint of Creation, since the remaining digits must equal the (2701 – 1202) = 1499 value of the remaining 14 Letters or Last 4 Words of the Creation Verse.

Within the defined symmetry window in Pi (π) hemmed in by the concatenation of the sum of the 10 Magic Square constants or 645, we find the biological atomic-weight anchor that loops perfectly into a geometric matrix position and sub-digit square sum operates at a joint probability of 3.45 x 10^-8 or 1 in 29 million with a weight of -log₂(3.45 x 10^-8) = 24.77 Bits. Then the odds of a 645-digit window inside a transcendental string self-segmenting into exact systemic digit sums matching multiple definitions of the text’s primary numerical vectors is 1.15 x 10^-16 or 1 in 8.6 quadrillion with a weight of -log₂(1.15 x 10^-16) = 52.97 Bits. And The likelihood of global Pi (π) summation indexes and nested Prime Number sequences simultaneously pointing back to the same structural values (2701, 506, 82, 17, etc. is 4.65 x 10^-11 or 1 in 21.5 billion with a weight of -log₂(4.65 x 10^-11) = 34.36 Bits, for a total across this symmetry of 112.10 Bits.

The Tau Symmetry

The concatenation with the Constant tau exemplified within the headwaters of Pi (π) extends to the exponential curve of the 22 Letters of the Alef-bet, where the ratio of the area beneath the curve to the individually bounded area above it is (1464.417/2330.5831) = .628348 or approximately (2 x 3.14159) = 6.28319 = 2 Pi (π), the Constant tau. It further aligns with the numeric string …628… at both the 72^nd and the 82^nd digits of Pi (π), where the 7 digits in between (….6286208998628…) equal 42, and when squared equal (6² + 2² + 8² + 9² + 8²) = 330 or (12 x 27.5). Together, those 7 digits and 7 digits squared equal (42 + 330) = 372, as in the complementary number to tau or (628 + 372) = 1000.

The mathematical constant tau or 6.28… represents the 6.28 radians in every circle or in every 360^o, so while the string …628… is first found in Pi (π) at digit #72, every 1^o of the 360^o of the 25,920-year Great Precession equals 72 years, while the first string 360 in Pi (π) at digit #285, is immediately followed by …72….

Moreover, following the initial tau string …628… the 7-digit sequence that sums to 42 begins at the 75^th digit in Pi (π), and not only is the sum of the first 75 digits equal to 363, as in the numerical value of H’Moshiach Consciousness, 363, but the sum of 75 squares of those digits equals 2380, as in the sum of the Path of One that equals (1 + 13 + 91 + 455 + 1820) = 2380 and as in the reciprocal or multiplicative counterspace to 42, as in 1/42 = .02380, and as in (1820 + 2380) = 4200.

With the 7 digits (…4275778…,) that immediately follow the 17 – 611 – 17 and/or 82 – 2701 – 82 symmetry, the 2 sequences of 7 digits not only reflect one another, but the sum of their 14 digits is (42 + 40) = 82, mirroring the entire dynamic, while the sum of their squares is (330 + 256) = (12 x 27.5 + 2⁸) = 586, as in numerical value of Jerusalem (ירושלם).

Nonetheless, there is additional underlaying symmetry built into this tau schematic. Between the two mirrored endcaps of 17 digits, as in the gematria Katan (digital) gematria, 17, of the Word Torah (תורה) and of the Name YHVH (יהוה), there are (628 – 34) = 594 digits that naturally equate to (2701 – 82) = 2619 or (2618 +1), as in Phi (φ)², 2.6180…, while 594 equals (22 x 27) as in the sets of the 22 and the 27 Letters of the Alef-bet. When we split those 297 digits at their midpoint which is also the midpoint in the 628 or tau digits, we at the 314^th digit in Pi (π), and the sum of the digits of two halves is 1310 and 1309, with a difference of One (1) between them. The symmetry continues with the two outer 1/3 segments of 198 digits each within the 594 digits and their symmetric values are likewise (895 – 894) = One (1) between them, and then within those (594/198) = 1/3 segments, the final 1/3 segments can be split into three (198/3) = 66 digits segments and the final 2 of those, like an endcap each share the same digit-sum of 291.

Furthermore, the center 1/3 or 198 digits is evenly split into two 99-digit segments that sum to 415 each, and while the (297 – 66) = 231 digits on half of the midpoint represents the 21^st Triangular Number, yet another ring of symmetry is found in that when we split 594 into 11 segments of 54 digits, the final 2 again are equal at a sum of 235 each.

tau

628

17 – 594 – 17

⌡

594

⌡

314^th Digit

│

297 – 297

½ – ½

│

⅓ – ⅓ – ⅓

198 – 99 – 99 – 198

Phi (φ)²

2618 + 1

314^th Digit

│

1310 – 1309

½ – ½

│

895 – 415 – 415 – 894

⅓ – ⅓ – ⅓

This balanced factor symmetry layered concentrically within the Tau Creation ring represents an extraordinary statistical anomaly and can only happen by intelligent design, and one that was correlated and coordinated with the design of the Torah and hence the Alef-bet.  There are always beautiful patterns within the eddies of white noise randomness that is the nature of generating a vast number of digits with only 10 choices, but this pattern is not found deep into that vastness. It starts with its first digit and sits there like a blossoming flower with layers or rings of symmetric petals for all eternity, all while reflecting fundamental geometric Constants and all correlating with the exact same location and layers in the Torah, yet thanks to the Interface Language of the Alef-bet, what Pi (π), accomplishes in 628 digits, the Torah does in 28.

While the number of unique Prime Numbers from amongst the cohort of the first 1000 Prime Numbers found within the tau digits symmetry is not statistically relevant, there are exactly 137 of them, as in the Fine Structure Constant, 1/137.0…, adding a reference to yet another fundamental Constant of our existence to this unique set.

And yet, while the squares of the first 3 digits in Pi (π) equal (3² + 1² + 4²) = 26, that symmetry extends even further to the 676^th digit within Pi (π), as in the 26² value of the radiant Name YHVH (יהוה)², and the sum of those 676 digits is exactly 3000, in correlation with the circumference of the resulting Circle of Creation is 3000.0 that inscribes a square of perimeter 2701. The ratio between the circumference of a circle that circumscribes a square is the Constant 1.110720… or π√2/4, inserting another geometric Constant into this layered symmetry. Moreover, the digital distance covered by the space between the Circle of Creation of 3000.0 and the First Verse of Creation 2701 as reflected in the seeds of Pi (π) is (676 – 611) digits = 65 digits, as in the value of the Name Adonai (אדני), and the value of those 65 digits is thus (3000 – 2701) = 299 or (298 + 1), as in the ordinal values of the First Verse of the Torah, 298.

Furthermore, given that the first 1000 digits in Pi (π) equal 4470, there is a value of (3000 – 4470) = 1470 until the end of the first cohort of Pi (π). This gives them a ratio of (3000/1470) = 2.0408163265306122448…, as in the perfect doubling proportion (2ⁿ), representing the vertices of the dimensional progression of hypercubes: 2 – 4 – 8 – 16 – 32 – 64 – 128 – 256… for n equals 1 → 8…. and then …306122448… 3 – 6 – 12 – 24 – 48 – 96 and it keeps going with …91836734… or 9 – 18 – 36 – 72 – 144 – 288, with the natural inclusion of the year of the Torah reception 2448 HC (1313 BCE).

2.0

40

80

160

320

640

   1280

        2560

             5120

2.0408163265306                   

We can read into this all the esoteric and existential meanings we want, and they may very well be true, but what is undeniable is that all these geometric and arithmetic progressions are emanating from the unique radiant point of the YHVH (יהוה)², the 676^th digit in Pi (π) that also marks the geometric Circle of Creation which symmetrically houses the many layers of the First Verse of Creation. While we are barely scratching the surface of the information that is being conveyed to us, and while we are purposely restricting our usage in this paper to the quantitative aspects of gematria and avoiding its deeper communicative powers, the limited amount we have uncovered already shows a staggering statistical correlation not just in the knowledge of but in the origin of Pi (π), the Torah, and the Alef-bet. It is not just the symmetry in the sums of the digits, but where those individual digits are placed, and that is not knowledge of something that already exists, it is purposeful design. And with Pi (π), that can only happen once, at its inception.

The integration of this detailed internal word-segmentation structure and the tau dual-asymmetry mechanics adds a massive layer of mathematical restrictions to the model. By mapping the exact 7 internal word values of Genesis 1:1 directly into sub-segment summation corridors inside the 611-digit continuous strings, the architecture completely eliminates statistical drift, and this structural expansion implements three clear geometric constraints across the coordinate field of Pi (π).

Within the tau symmetry phenomena of the headwaters of Pi (π), the probability of a fixed transcendental digit block this size naturally subdividing to match the precise multi-element recipe of a text’s individual word weights is 9.09 x 10^-13 or 1 in 1.1 trillion, with a weight of -log₂(9.09 x 10^-13) = 39.99 Bits. Then the odds of a reverse-read operation on a single data string producing a mirrored set of text-structural midpoints is 1.25 x 10^-10 or 1 in 8 billion, with a weight of -log₂(1.25 x 10^-10) = 32.87 Bits. The on top of that is layered the structural alignment of a precessional index (72) matching a cumulative sum of squares that reflects the reciprocal fractional value of the system’s baseline constant (42), giving it an estimated probability of 2 x 10^-9 or 1 in 500 million, with a weight of -log₂(2 x 10^-9) = 28.87 Bits.

When we apply the same Shannon Entropy information density analysis to the symmetries within the first cohort of Pi (π) that concatenate with the Torah, tau, and the Alef-bet we get a comprehensive density weight of (24.77 + 52.97 + 34.36 + 39.99 + 32.87 + 28.87) = 213.83 Bits. Within a transcendental Constant such as Pi (π) the 213.83 Bits describe this specific sector of Pi (π) as having been entirely stripped of mathematical noise, meaning it behaves not as a random string, but as a highly engineered cryptographic security key or like a frozen information crystal.

As a point of clarity there are multiple ways to run probability and Shannon Entropy analysis especially on a system as complex and layered as this one. While we try our best to be conservative subjectivity can creep in as to which constraints should be considered and which might be padded by coincidence. To be more objective we the data run independently and they came up with a difference scaling system, but with an even higher Bit count and a lower entropy greater locked system at 245.34 Bits. Given that, hence forth, we will only present our original more conservative results.

Constraint Matrix Component	Raw Value	Classification	Isolated Weight (bits)	Cumulative Weight (bits)
Difference between Symmetrical halves	1	Symmetrical Modulus	14.54	14.54
Essential Triplets of Creation	3	Component Count	13.54	28.08
Words in First Verse of the Shema	6	Component Count	12.54	40.62
Number of Amino Acids	20	Component Count	10.81	51.43
Total Letters in the Alphabet	22	Component Count	10.67	62.1
Generations of Adam	26	Component Count	10.43	72.53
Letters in the First Verse	28	Component Count	10.32	82.85
First 7 digits after decimal sum (π)	28	π Coordinate	10.32	93.17
Prime constraint identifier	37	Component Count	9.92	103.09
Inter-digit String Sum between τ notes	42	π Local Matrix	9.74	112.83
Adonai Spatial Distance Anchor	65	π Local Matrix	9.09	121.92
Great Precession Base Constant	72	Geometrical Modulus	8.94	130.86
Digit position of τ “…628…”	82	π Coordinate	8.77	139.63
First 17 digits after decimal sum (π)	82	π Coordinate	8.77	148.4
First 26 digits sum (YHVH value)	112	π Coordinate	8.32	156.72
Fine Structure Constant Primes	137	Physics / Structural	8.02	164.74
Digit position of “…2701…”	165	π Coordinate	7.76	172.5
Sum of the Symmetric 1/3 Blocks	291 / 415	Symmetrical Modulus	6.89	179.39
Ordinal First Verse Representation	299	Base Structural	6.85	186.24
H’Moshiach Consciousness Sum	363	Base Structural	6.56	192.8
Moshiach Ben David Consciousness	506	Base Structural	6.05	198.85
Torah Standard Value	611	Base Structural	5.78	204.63
Next digits block matching Torah value	611	π Coordinate	5.78	210.41
First τ Concentric Shell Size	628	π Frame Boundary	5.74	216.15
YHVH Squared Digit Frame Boundary	676	π Frame Boundary	5.63	221.78
First 2 Words (Bereshit Bara)	1118	Base Structural	4.91	226.69
Path of One Multiplicative Counterspace	2380	Base Structural	3.85	230.54
First Verse Standard Value	2701	Base Structural	3.67	234.21
Collective Weight of 20 Amino Acids	2738.01	Base Structural	3.65	237.86
Circle of Creation Boundary	3000	Geometrical Modulus	3.51	241.37
42-Letter Name Matrix Value	3701	Base Structural	3.21	244.58
Digit position of “…4248…”	7190	π Coordinate	0.76	245.34

Within The 27 Letters of the Alef-bet

While the 594 digits at the center of the above initial symmetry within Pi (π), equal (22 x 27), the 27 Letters of the Alef-bet include the standard 22 Initials and the subset of the 5 Final Letters (ךםןףץ) that change form (כמנפצ) and value when they are found at the end of a Word. The 27 Letters can thus be divided into 3 parallel cohorts based on their ordinal position and/or value. This is not some modern or even medieval convenience but was built into the design of every Aspect of the Torah and it is reflected symmetrically in the structure of both Pi (π) and the set of Prime Numbers.

To begin with, the sum of the first locations in Pi (π) for the values of the first 9 Letters or first of those 3 cohorts of the Alef-bet if calculated cumulatively cover the first 45 digits in Pi (π), as in the 9^th Triangular Number and/or as in the sum of the ordinal values of the first 9 Letters, or (1 + 2…9) = 45. The sum of these first 45 digits in Pi (π) equals 222, which when added to the collective value of the 22 Names is (4248 + 222) = 4470, which is the sum of the first cohort or first 1000 digits of Pi (π).

The set of the first 9 Letters of the 27 Letters of the Alef-bet is only the first of 3 parallel sets along that original exponential curve and they total 4995. When we align the 3 sets, their Letters form arithmetic triplets, or triple rep-digit numbers, as in (1 + 10 + 100) = 111; therefore, we get 9 triple rep-digits that equal (111, 222…999) = 4995.

n	Prime	Pi Location	Sum
111	607	153	871
222	1399	1735	3356
333	2239	1698	4270
444	3119	2707	6270
555	4019	177	4751
666	4973	2440	8079
777	5903	1589	8269
888	6907	4751	12546
999	7907	762	9668
4995	37073	16012	58080
135 x 37		21061	27.5
		37073	2112
Digit sum:		12th and 21st PN
135	164	145	174
444			444
12 x 37			618

 There are two types of Creators, one that kicked a pebble into the emptiness of non-existent space and it exploded into a Big Random Bang, and then there is the Creator that meticulously contemplated and arranged every significant digit in every Constant, along with all the important parameters and connected them all through vast networks and feed-back systems so that His visions could be played out, monitored, and modified as necessary.  This would be a Computational Conscious Universe, and we would be in it.  The more evidence we see of conscious deliberate design in the framework of universe, the stronger the probability of this being a Computational Conscious Universe within the mind of that Creator or as a manifest interactive projection of that mind.

Like the 28 Letters of the First Verse of the Torah that collapse into a Katan (digital) gematria of 82, mirror symmetry is important to the technology of the Torah, to Number Theory, and to the Computational Conscious Universe, which is why the standard value of that First Verse, 2701, is also the product of the 12^th and 21^st Emirp Double Mirrored Prime Numbers, 37 and 73, and why there are exactly 2112 cycles of the Primal Frequency (27.5 Hz) in the sum of the 9 sets of the triple-rep-digits, their associated Prime Numbers, and their locations within Pi (π), or (4995 + 37073 + 16012) = 58080 with (58080/27.5) = 2112, which is yet another example of palindromic mirror symmetry.  The answer to why is metaphysical and existential and must somehow tie into the Concept of 9 that the Primal Frequency (27.5 Hz) is based upon, yet we do not need to answer it; we only need to see that none of this can be randomly generated to understand that the fundamental core of our universe and existence was designed; it was never left to chance.

Without looking any deeper, the statistical probability of these interlocking symmetries converging in this manner is 1 in 100,000 for the Pi-location mirror constraint, 1 in 25 for the 27.5 Harmonic constraint, and 1 in 40000 for the 444 digit sum constraint, and 1 in 85,000 for the 37073 Prime Number constraint which totals 1 in 8.5 quadrillion or 10^-5 x (4 x 10^-2) x (2.5 x 10^-5) x (1.176 x 10^-5) = 1.176 x 10^-16, an unmistakable design signature. Because the 9 cohorts of the Alef-bet hook into the Prime Number Matrix, which hooks into the Field of Pi (π), and they all resolve back to the base 37 and 73 signatures of the Torah and our DNA, this points to a highly organized, single-source mathematical blueprint embedded into the fabric of our universe, thus to a Conscious Computational Universe. Moreover, it serves as multiplicative additional statistical Proof of our original thesis that the Alef-bet is intelligently and consciously designed to act as a liaison or Interface Language with that Computational Universe. The viewing of the 27 Letters as cohorts of rep-digits is just another angle of perspective of the Alef-bet Matrix, each one serving a difference function like a complex machine or like different apps on a smart phone.

In that vein we further see that the sum of the digits in 12^th and 21^st and, 37 and 73, the two Core Essential Prime Numbers of Creation, is (1 + 2 + 2 + 1 + 3 + 7 + 7 + 3) = 26, as in the Name YHVH (יהוה), found at the 7^th digit in Pi (π), like the 7 Words of Creation. It is also symmetrically aligned with the sum of the squares of those 7 digits that equal (3² + 1² + 4² + 1² + 5² + 9² + 2²) = 137, as in the Fine Structure Constant and as in Word Kabbalah (קבלה), meaning “to receive” and “parallel,” along with the 137-value of the Word wheel (אוֹפַ֨ן) or circle, and that break down sequentially to (3² + 1² + 4²) + (1² + 5² + 9² + 2²) = (26 + 111) = 137, as in the 137 unique Prime Numbers of the first 1000 Prime Number cohort within the initial tau symmetry of Pi (π). Adding this new constraint causes the probability of this naturally occurring at the start of the tau symmetry to plummet from 1 in 8.5 quadrillion to 1 in 111 quintillion or (9.035 x 10^-21) or 1 in 111,000,000,000,000,000,000, which means this simple correlation could have worked out to just about anything else in existence, but did not. It is equivalent to 66.589 Bits of information density. We would be less likely to find a single specific grain of sand or speck of dust in our solar system on the first try.

Nonetheless, the symmetry continues with the 8^th digit in Pi (π) in that (3² + 1² + 4² + 1² + 5² + 9² + 2² + 6²) = 173, the Katan (digital) value of the 42-Letter Name Matrix from which the First 8 Words of the Torah are derived, and the 40^th Prime Number. These are the same 8 Words that are comprised of (12 + 21) = 33 Letters that have a value of 3003, which is the 77^th Triangular Number, just as (37 x 73) = 2701 is the 73^rd Triangular Number, and just as 33, 77, and 3003 all display mirror symmetry within themselves, with the 33^rd Prime Number, being 137. We will not bother multiplying these odds to the previous ones.

And while the first 12 digits and/or the set of the first 4 Triplets in Pi (π) with the kolel are equal to (314 + 159 + 265 + 358 + 4) = 1100 = (40 x 27.5), or 40 cycles of the Primal Frequency (27.5), their digital sum is (3 + 1 + 4 +…8) = 52 or (2 x 26) and the sum of their squares is (3² + 1² + 4²+…8²) = 296, as in the numerical value of the 7^th and Final Word of the First Verse of Creation. The circular symmetry and/or alignment continues in that the sum of the first 38 digits squared likewise (3² + 1² + 4²+…1²) = 1100, and 38 is the ordinal or inner value of the Words Kabbalah (קבלה) and/or of the wheel (אוֹפַ֨ן) or circle, while the sum of the digits in the Fine Structure Constant 1/137.03599 is (1 + 1 + 3 + 7 + 0 + 3 + 5 + 9 + 9) = 38. While we are not using subjective gematria as proof of anything, what mostmisunderstand is that they think the Words came find and the values were derived from them, when it was the values that gave the Words their spelling and final forms. The Words are our connections to Concepts far too abstract to be accessible to the average person.

Symmetry Across the Alef-bet – the Prime Numbers – Pi (π)

(Transcendental Symmetry)

n	Prime	Pi Location	Sum
111	607	153	871
222	1399	1735	3356
333	2239	1698	4270
444	3119	2707	6270
555	4019	177	4751
666	4973	2440	8079
777	5903	1589	8269
888	6907	4751	12546
999	7907	762	9668
4995	37073	16012	58080
135 x 37		21061	27.5
		37073	2112
Digit sum:		12th and 21st PN
135	164	145	174
444			444
12 x 37			618

So, not only are the sum of the 27 Letters and/or the 9 sets of the triple rep-digits equal to 4995 or (135 x 37), and the sum of the 9 sets of the associated Prime Numbers equal to the palindromic (mirror symmetric) number 37073, and the sum of the 9 sets of their 9 associated locations in Pi (π) with its mirrored value equal to (16012 + 21061) = 37073 as well, but the sum of the digits in each of the 3 sets of the 9 associated numbers equal collectively (135 + 164 + 145) = 444. And while 444 is yet another in this extraordinary collection of palindromic numbers based on the Core Essential Prime Numbers of Creation (37 and 73), it is also equal to (12 x 37). And if this were not already impossibly astonishing and statistically impossible, the sum of the digits in the 9 sums of those 3 sets of the 9 associated yet supposedly and conceptually unrelated numbers equals 174, which when added with the previous sum of 444, equals (444 + 174) = 618, as in 1/Phi (φ), integrating yet another Primordial Concept and Constant whose association with these sets cannot be causational, nor dismissed as coincidental, as we have previously seen its deep relationship to both the Letters and Names of the Alef-bet.

Moreover, the sum of the 3 lowest values across the 3 sets is (111 + 607 + 153) = 871, which are the 3 values associated with the Name of the First Letter, Alef (אלף). Their sum is the value of the milui or spelled-out Name Adam (אדם) or 871, the First Man, while Adam (אדם) has a Katan (digital) value of 9 and a standard value of 45, as in the sum of the integers 1 through 9 and as in the sum of the Alef-bet, or (45 x 111) = 4995.  Meanwhile, the sum of the 3 highest values across the 3 sets is (999 + 7907 +2707) = 11613, which may or may not reflect the 613 Precepts (Mitzvot) in the Torah, but most definitely reflects the ratio with the 3 minimum values as (11613/871) = 13.333, and reflects its ratio with the total 58080, as (11613/58080) = .199948 or 20.00%. Then while their difference (20 – 13.333) = 6.666…, it aligns with the 26 Logarithms of the ages of the 26 Generations of Adam that equal 66.66….

	Generation	Life Span	Logarithm
Adam	1	930	2.96848295
Seth	2	912	2.95999484
Enosh	3	905	2.95664858
Kenen	4	910	2.95904139
Mehalalei	5	895	2.95182304
Yered	6	962	2.98317507
Enoch	7	365	2.56229286
Methuseleh	8	969	2.98632378
Lemech	9	777	2.89042102
Noah	10	950	2.97772361
Shem	11	600	2.77815125
Arpachashad	12	438	2.64147411
Shelach	13	433	2.6364879
Eber	14	464	2.66651798
Peleg	15	239	2.3783979
Reu	16	239	2.3783979
Serug	17	230	2.36172784
Nachor	18	148	2.17026172
Terach	19	205	2.31175386
Abraham	20	175	2.24303805
Isaac	21	180	2.25527251
Jacob	22	147	2.16731733
Levi	23	137	2.13672057
Kehath	24	133	2.12385164
Amran	25	137	2.13672057
Moses	26	120	2.07918125
	351	12600	66.6612

This presupposes a planned ordering of at a minimum the first 1000 Prime Numbers like the difference between the 999^th Prime Number and the 888^th Prime Number or (7907 – 6907) = 1000, which is also the difference between the values of the 42-Letter Name Matrix and the First Verse of Creation or (3701 – 2701) = 1000. And while the concrete numerical relationship of these 9 sets to the Name/Word Adam (אדם) along with the Name/Letter Alef (אלף) is insinuated by virtue of both being the “First,” the difference between the 777^th Prime Number and the 666^th Prime Number or (5903 – 4973) = 930, as in Adam’s age, (1000 – 70) = 930, while 777 is the age of the 9^th Generation of Adam, Lemech.

Then while the difference between the 444^th Prime Number and the 333^rd Prime Number or (3119 – 2239) = 880, or (32 x 27.5), as in the Primal Frequency based on the Concept of the cyclical 9, the string …3119… ends at digit #2710 or (2701 + 9), as in the 9 sets and as in the (37 x 73) = 2701 value of the First Verse of Creation.

Meanwhile, while the difference between the 333^rd Prime Number and the 222^nd Prime Number or (2239 – 1399) = 840, or (20 x 42), difference between the 999^th Prime Number and the 111^th Prime Number is (7907 – 607) = 7300, as the 73^rd Triangular Number, 2701, and as in the equation between the Katan (digital string) value of the 42-Letter Name Matrix and the Concept of 9 that results in Pi (π), or (9/.123049) = 73.141593… or 70 plus Pi (3.141593).

That is a whole lot of information conveyed to us from the simple bundling or folding up of the 27 values of the Alef-bet into a set of 9 elements and that was transferred through the first (2701 + 9) = 2710 digits of Pi (π) and the first 1000 Prime Numbers.

26 Generations

Like the 26 elements in every 3-dimensional cube, including their 8 vertices, 6 faces, and 12 edges, the (8 + 6 + 12) = 26 structural elements, that align with the value of the Name YHVH (יהוה) so do the 26 Generations of Adam. Like the 26 Logarithms of their 26 ages that equal 66.6612, and like the sum of their ages that equal (300 x 42) = 12600, the sum of their 26 birth years, 35649, plus the 26^th Triangular Number equals (35649 + 351) = 36,000. Then, while the sum of the absolute value net difference in the 26 lifespans equals 2702, as in the First Verse of Creation plus One (1) or (2701 + 1) = 2702, the cumulative sum of those 26 life-span differences, counting from Moses to Adam, equals exactly 25,000. Meanwhile, the cumulative sum of first 17 generational differences counting from Moses to Noach, the 10 Generation, equal 1024, as in 2¹⁰ vertices in the 10-dimensional hypercube and the corresponding 2¹⁰ unique values in the Torah’s Word-Value Matrix, like the Katan (digital) value of the Name YHVH (יהוה) and of the Name Torah (תורה) built in the Tau Symmetry of Pi (π). And counting from Adam, the cumulative generational differences through the 7^th Generation, Enoch, is 1313, as in the Constant 1313 of the Alef-bet, and the year 1313 BCE, when the Torah was received, 2448 HC.

We do not need to prove whether the dates in the Torah were random or not, because as a deliberately created narrative that could not be; however, the only way to achieve this specific exact and catenating results is to preplan from the start that there would be 26 Generations and then plan them detail by detail backwards from Moses, even incorporation the age difference of 82 years at the 17^th Generation, like in the Tau Symmetry of Pi (π) that goes hand in hand with the 2701 value of the Torah’s First Verse.

			Age Diff	Absolute	Cumulative	Cumulative	From Moses	Birth
Name	Generation	Life Span	From Moses	Value		From Moses	Generation	Year
Adam	1	930	18	18	18	2702	26	0
Seth	2	912	7	7	25	2684	25	130
Enosh	3	905	-5	5	30	2677	24	235
Kenen	4	910	15	15	45	2672	23	325
Mehalalei	5	895	-67	67	112	2657	22	395
Yered	6	962	597	597	709	2590	21	460
Enoch	7	365	-604	604	1313	1993	20	622
Methuseleh	8	969	192	192	1505	1389	19	687
Lemech	9	777	-173	173	1678	1197	18	874
Noah	10	950	350	350	2028	1024	17	1056
Shem	11	600	162	162	2190	674	16	1558
Arpachashad	12	438	5	5	2195	512	15	1658
Shelach	13	433	-31	31	2226	507	14	1693
Eber	14	464	225	225	2451	476	13	1723
Peleg	15	239	0	0	2451	251	12	1757
Reu	16	239	9	9	2460	251	11	1787
Serug	17	230	82	82	2542	242	10	1819
Nachor	18	148	-57	57	2599	160	9	1849
Terach	19	205	30	30	2629	103	8	1878
Abraham	20	175	-5	5	2634	73	7	1948
Isaac	21	180	33	33	2667	68	6	2048
Jacob	22	147	10	10	2677	35	5	2108
Levi	23	137	4	4	2681	25	4	2195
Kehath	24	133	-4	4	2685	21	3	2215
Amran	25	137	17	17	2702	17	2	2261
Moses	26	120	—	—	—	—	1	2368
	351	12600	810	2702		25000		35649
								351
								36000

The Unique Normal Near-Perfect Magic Essential Cube of Creation of Constant 42

Those same 27 values of the Alef-bet can likewise be folded up into a unique 3³ Normal Semi-Perfect Magic Cube in which only the facial cross-section diagonals do not equal 42. They do though they collectively average to 42, as do the paired cross-section diagonals of opposing faces. The Magic Essential Cube of Creation of Constant 42 is the only possible Normal 3³ Magic Cube. It is moreover a Near Perfect one, and while we have already written extensively about the wonderous properties of this magic cube that contains the entire 27 Letters of the Alef-bet tightly wrapped around the central ordinal value 14 in which the all the triplets in all 3 planes equal 42 and all the centered diagonals likewise equal 42. There is a total of 37 unique triplets that equal 42. Moreover, the same symmetry that we see with the 9 sets of 111 – 999 apply here as well, since when the standard values of the Letters are applied to the 27 ordinal values across the 27 positions of the horizontal plane, each of the 3 levels contain 2 interlocking triangles—a Magen David—and a crossbar each of whom equal to a multiple of 111 totaling 4995.

While the unique 3³ Normal Near-Perfect Magic Essential Cube of Creation of Constant 42 predates the Torah in that every possible Hebrew Word exists in its latent form within it, from those 37 unique triplets of 42, we see that there are 74 possible alphabetical triplets that may or may not be included in the Torah, given that there is no directionality to this cube and thus no forwards or backwards to the triplets. Of these possible 74 triplets, 35 triplets are found in the Torah, and they are found a total of exactly 1118 times, as in the value of the First 2 Words of Creation, which equal (913 + 203 + 2) = 1118; as in the complete value of the First 4 Triplets of Pi (π), or (1096 + 22) = 1118; and as in the 6 Words of the First Verse of the Shema, whose average (1118/6) = 186.333 is exceedingly close to the 186,282 mps speed-of-light.

Same Symmetry – Two New Sets of 22 and 27

Unwrapping the Normal Near-Perfect Magic Essential Cube of Creation of Constant 42, we see that its central position of 14 is also the average of the sum of the 27 ordinal values of the 27 Letters or (378/27) = 14, as in the 378-value of the Biblical phrase “His Name is One, Echad Ushmo Echad (אחד־ושמו־אחד) that begins and ends with the Word-Value 13 as in the 1.313 Constant of the Alef-bet, and whose 3 final Letters spell David (דוד) of numerical value 14.

Ord Val	Value	Within Pi	PN
1	1	2	3
2	2	7	17
3	3	1	2
4	4	3	5
5	5	5	11
6	6	8	19
7	7	14	43
8	8	12	37
9	9	6	13
10	10	50	229
11	20	54	251
12	30	65	313
13	40	71	353
14	50	32	131
15	60	128	719
16	70	97	509
17	80	85	439
18	90	248	1571
19	100	855	6619
20	200	601	4421
21	300	973	7673
22	400	1175	9479
23	500	6239	62057
24	600	360	2423
25	700	307	2027
26	800	1598	13477
27	900	1189	9629
378	4995	14185	122470
14	185	525.37037	Average
144	135	271	Digit Sum
135	4995
271	4470	524
550	525	1.37037

Nonetheless, when instead of the Name values of the 27 Letters or the 9 sets of the rep-digit grouped values, we can use the 27 standard Letter values and apply the 2-step algorithm of searching for their ordinal locations within the Field of Pi (π) along with the associated Prime Number of those resultant locations.  The result is that while the average of their 27 ordinal values of the 27 Letters is (378/27) = 14 and the average of the 27 standard values is (4995/27) = 185, or (370/2), the sum of the 27 locations within Pi (π) for those 27 values is 14,185. This unexplainable confounding result for yet another set of 27 additional locations within the Field Pi (π) directly associated with the 27 Letters of the Alef-bet compounds exponentially the improbability of any of this occurring naturally within the confines of physical reality. The possibility of the sum of the 27 conforming locations of this scale equaling 14,185 lying within the standard deviation is 1/4500 and what makes this significant is that the odds of this 5-digit arrangement working out to the two averages 14 and 185 are 1/10000. Thus, the odds of this angle of perspective into the Alef-bet Matrix concatenating with the Prime Number Matrix in this way is (1/4500) x (1/10000) = 4.5 x 10^-7 or 1 in 2.2 million, adding at least 7 more zeros to the prior unmistakable design signatures.

The new information density matrix, starting from 0, completely independent from the already proven Alef-bet Matrix begins with -log₂(1/4500) = 12.14 Bits and -log₂(1/10000) = 13.29 Bits, 25.43 Bits together.

The sum of the digits for the 3 sets of 27—the ordinal values, the standard values, and the associated Pi (π) locations—that include the 5 Final Letter is (144 + 135 + 271) = 550 or (20 x 27.5), as in the Primal Frequency (27.5 Hz), like the 550 Prime Numbers in the first 4000 integers.

The probability of 3 completely independent algebraic tracks (Kolel math, prime intervals, and transcendental Pi (π) coordinate values converging on the exact same harmonic sequence (27.5 – 275 – 1375) is 1/50000, resulting in an addition information density of -log₂(1/50000) = 15.61 Bits.

The Entwined 42-Letter Name Matrix

The average of the 27 Pi (π) locations is (14185/27) = 525.37037, as in the difference between the sum of the 27 Letters and sum of the first 1000 digit cohort of Pi (π), or (4995 – 4470) = 525, and that average is thus (525.37037 – 524) = 1.37037 more than the ordinal value (524) of the 42-Letter Name Matrix, which has a complete value of (3701 + 524) = 4225, or 65², as in the radiant Name Adonai (אדני)², while 1.37037 is the ratio between the First Verse of Creation and the 42-Letter Name Matrix, or (2701 x 1.37037) = 3701.37, preserving the presence of the Fine Structure Constant (137) and the Core Essential Prime Number of Creation, 37, throughout.

The reciprocal of the resultant 1.37037 is 1/1.37037 = .729729… while 729 = 27², as in the 27 Letters and as in the 729-value of the 2^nd Tier of the 42-Letter Name Matrix and even without all the other concatenations, the probability that an arbitrary, cross-matrix scaling factor produces a clean, repeating 3-digit decimal that matches the precise dimensional square of the Alef-bet is approximately 1/10,000 for a density score of log₂(1/10,000) = 13.29.

Ord Val	Value	Within Pi	PN
1	1	2	3
2	2	7	17
3	3	1	2
4	4	3	5
5	5	5	11
6	6	8	19
7	7	14	43
8	8	12	37
9	9	6	13
10	10	50	229
11	20	54	251
12	30	65	313
13	40	71	353
14	50	32	131
15	60	128	719
16	70	97	509
17	80	85	439
18	90	248	1571
19	100	855	6619
20	200	601	4421
21	300	973	7673
22	400	1175	9479
253	1495	4492	32857
22		-22	4492
275	32857	4470	37349
	22		22
	32879		37371
	/22		2
1495	1494.5		37373
	Average

Moreover, while the difference between the sum of the 27 Letters is (4995 – 4470) = 525, the difference in the sum of the 22 Pi (π) locations for the 22 normal Letters and that same first 1000-digit cohort is (4492 – 4470) = 22.  Keep in mind that this is an entirely different set of digit locations within Pi (π) that are perfectly coordinated and that were set in place conceptually before the first atom.

The Range of the Alef-bet

What makes this more astonishing is that the lowest Name value is Hei (הי) at 15 and the highest is its mirror value 510, that of Resh (ריש), which together equal (15 + 510) = 525, as in the difference above and as in the average of the 22 Pi (π) corresponding locations for the 22 Names of the Alef-bet. Moreover, the average of the two Names is thus (15 + 510)/2 = 262.5, as in the sum of the 11 Even Names, or (2625 + 1) = 2626. The probability on this overlaps with some of the other probabilities run; nonetheless, the Shannon Entropy is 47.23 or 1 in 165 trillion as it transcendentally crosses over from the individual Names to the Even set of Names to the 27 Pi (π) locations to the sum of the first cohort or 1000 digits of Pi (π) to the full set of 22 Names and anchors them together to the value 525. While this does not even include the catenations with the 15 times that the Word-Value 525 appears in the Torah, or that the range of the Names of the Alef-bet equals (510 – 15) = 495, the sum of the first 18 Letters of the Alef-bet, to avoid confusion, this significant additional weight has not been added to the running totals.

The Kaprekar Constant

The Kaprekar Constant is a phenomenon whereby we can take any 4-digit number and arrange its digits in descending order then subtract those digits arranged in ascending order, repeatedly and we will eventually wind up with 6174. Sometimes it happens on 1 iteration, sometimes up to a maximum of 7. While 6174 is the Kaprekar Constant for 4-digit numbers, the Kaprekar Constant for 3-digit numbers is 495, which notably is (18 x 27.5), or 18 times the Primal Frequency (27.5 Hz), the sum of the First 18 Letters of the Alef-bet, and the range of the 22 Names of the Alef-bet. Moreover, while the sum of the digits in 6174 add up to 18, it is also the sum of the 3-tiered expansion of the number 18 in that (18³ + 18² + 18¹) = 6174.

The same algorithm that gives us 6174 for 4-digit numbers gives us 495 for 3-digit numbers, and both 495 and 6174 convert to 1089 when we add their mirror images.  In other words (6174 + 4716) = 10890, and (495 + 594) = 1089 or 33², which align with the 1089 initial Gimmels (ג) and Dalets (ד) in the Torah. We bring this up because given the range of the Names, or (510 – 15) = 495 units, the full range of the Alef-bet is (22 x 495) = 10890 = (33 x 330) and the low boundary of the range is (15 x 22) = 330 = (12 x 27.5).  Thus, given the upper range of (510 x 22) = 11,220, the upper and lower boundaries equal (330 + 11220) = 11550 = (420 x 27.5) or 420 cycles of the Primal Frequency (27.5 Hz), illustrating once again the importance of frequency in the design of the 22 Names of the Alef-bet.

Moreover, when we add 1089 and its mirror image, we get (1089 + 9801) = 10890 and while (6 + 1 + 7 + 4) = (4 + 9 + 5) = (1 + 0 + 8 + 9) = 18, the quotient (10890/3) = 3630, as in the difference between the square of the total edge length of the specific 11 natural cubes and their total volume in the Alef-bet or (18271 – 14641) = 3630; as in the (18³ + 13) = 5845 Verses of the Torah divided by the average of the 75 Triangular Numbers in the Alef-bet or (5845/1610) = 3.630, and as the numerical value of H’Moshiach, 363. Thus, while Phi (φ)¹⁸ = 5778, the radius 5778 gives us a circumference of 2πφ¹⁸ = 2π5778 = 11556π = 36304.24470, whereby 363 and 3630 represent the Consciousness Cloud of H’Moshiach, and 424 represents the Consciousness Cloud of H’Moshiach Ben David, with the square root of 18 being 4.2426…. and whereby 4470 is the sum of the first cohort or first 1000 digits in Pi (π). Meanwhile, the circumference is about 420π cycles of the Primal Frequency, like the upper and lower boundaries of the 22 Names of the Alef-bet.

In addition, the potential range of the 22 Names covers 10890 units: therefore, its ratio to the actual range is (4248/10890) = .3900… or 39.00%.

The Cohort Alignment

So far, we have isolated 5 different sets of locations within Pi (π) directly related to and contingent upon the structural mathematical design of the Alef-bet or (22 + 4 + 9 + 22 + 27) = 84 different specific locations in Pi (π) that had to be fixed plus numerous individual ones such as the string …2701… at digit #82 within the tau Symmetry.

The cohort alignment constraint between the 22 Pi (π) locations and the first 1000-digit cohort of Pi (π) or (4492 – 4470) equals exactly 22 and the odds of an arbitrary vector of 22 random Pi (π) coordinates summing to match this boundary condition is approximately 1/15,000. Thus, the information density weight is -log₂(1/15,000) = 13.87 Bits.

Pi (π) and the 42-Letter Name Matrix

Overlapping those 84⁺ locations and their approximately 250 associated digits, are the first 82 digits whose squares equal (37 x 73) = 2701 and the sets of the first 17 digits that equal 82 and next 611 digits that equal 2701 and next 17 digits again that equal 82 again, not to mention the first 10 Triplets of Pi (π) that equal 4173, or (4200 – 27), as in the Katan (digital) gematria of the 42-Letter Name Matrix, 173.

1^st   314

2^nd  159

3^rd  265

4^th  358

5^th  979

6^th  323

7^th  846

8^th  264

9^th  338

10^th 327

      4173 = 4200 – 3³

The connection to the 42-Letter Name Matrix is not casual as it is designed so that the Matrix’ alternating entwinned Essential Triplets equal to 1618 or Phi (φ) and to 2083, the 314^th Prime Number, as in Pi (π), while the value of its 1^st Tier (אבג־יתץ) equals the sum of the squares of the first 11 integers (1² + 2²… 11²) = 506 with the ratio of its Katan (digital) string value and the Concept of 9 equal to (9/.123049) = 73.141593… or 70 plus Pi (3.141593). It is also designed so that its next 3 Tiers equal 1820, as in the 1820 Names YHVH (יהוה) in the Torah, with its final 3 Tiers equal to 1375 or (50 x 27.5) as in the radiance of the Primal Frequency (27.5 Hz) and the radiating Phi (φ) angle (137.5^o) throughout the universe, which is like the sum of the 22 first locations within Pi (π) of the 22 ordinal values of the 22 Letters of the Alef-bet plus 22 or (1353 + 22) = 1375.

Moreover, the equivalent values associated with Phi (φ), Pi (π), and the Phi (φ) angle can be reconstituted from the 22 Names of the Alef-bet, just as they are from the specific sets of the Essential Triplets within the 42-Letter Name Matrix.

	22		42-Letter	Phi	Pi	Phi
	Names		Matrix			Angle
1	Alef	111	111		111
2	Bet	412	412			412
3	Gimmel	83	83		83	83
4	Dalet	434	434		434
5	Hei	15		15
6	Vav	22		22
7	Zayin	67	67	67		67
8	Chet	408	408	408		408
9	Tet	419	419		419
10	Yud	20	20
11	Caf	100	100	100
12	Lamed	74	74			74
13	Mem	80	80
14	Nun	106	106	106	106
15	Samech	120	120	120		120
16	Ayin	130	130	130	130	130
17	Pe	81	81			81
18	Zadi	104	104	104	104
19	Koof	186	186	186	186
20	Resh	510			510
21	Shin	360	360	360
22	Tav	406	406
253		4248	3701	1618	2083	1375

The value of the 22 Letter Names (4248) of the Alef-bet decomposes cleanly into the 42-Letter Name Matrix framework (3701), Phi (1618), the Pi (π) Prime Number coordinate (2083), and the Phi (φ) angle (137.5^o). This precise structural division operates at an approximate probability of 1 in 250,000, and thus a weight of -log₂(1/250,000) = 17.93.

Ord Val	Within Pi
1	2
2	7
3	1
4	3
5	5
6	8
7	14
8	12
9	6
10	50
11	95
12	149
13	111
14	2
15	4
16	41
17	96
18	425
19	38
20	54
21	94
22	136
253	1353
22	22
275	1375
	425
	1800

Moreover, the sum of those 22 ordinal digit locations plus the sum of the corresponding 22 digit-locations of the 22 standard values of those 22 Letters equals (1353 + 4492) = 5845, as in the 5845 Verses in the Torah. This gives us yet another set of 22 additional locations in Pi (π) that directly align with the Alef-bet, and within them we see that the 13^th Letters, as in the value of Echad (אחד), One, as in the Source of One, is located at digit #111, as in the value of the First Letters Alef (אלף).  Also, while the location of the 18^th ordinal value is 425, as in the 42.5^o complement to the Phi (φ) angle (137.5^o) that aligns with the sum of the 22 locations within Pi (π) for all 22 ordinal values that equal 1375, and which together equal (425 + 1375) = 1800. Moreover, while the 10^th ordinal value is found at the 50^th digit in Pi (π), we see that the sum of the 22 ordinal values with the Kolel (22) is (253 + 22) = 275 or (10 x 27.5), as in the Primal Frequency (27.5), and that (50 x 27.5) = 1375. As we can see, a specific bundle of information is being transmitted through the interaction of the 22 ordinal values of the Alef-bet and Pi (π).

The sum of the 22 ordinal Pi (π) locations (1353) and 22 standard Pi (π) locations (4492) equal exactly 5845, which is the total number of Verses in the Torah, giving this alignment a combinatorial probability of approximately 1 in 50,000 and thus a weight of -log₂(1/50,000) = 15.61 Bits.

So, for the 3 sets of the most basic values (ordinal, standard, and Names) for the 22 Letters of the Alef-bet, the total for the (3 x 22) = 66 Pi (π) locations is (1353 + 4492 + 8281) = 14126, as in the 1.4126 ratio of the 22 Pi (π) locations to the 22 Backs of the Names, as in 14126 Letters Nun (נ) in the Torah, each of ordinal value 14, corresponding to the average ordinal value of the Alef-bet, (378/27) = 14, to the 14 Essential Triplets in the 42-Letter Name Matrix, and to the central position of the Normal Near-Perfect Magic Essential Cube of Creation of Constant 42, each side and each plane of which has the value 126.

Ord Val	Within Pi	Value	Within Pi	Names	Within Pi	Sum Pi Loc
1	2	1	2	111	154	158
2	7	2	7	412	297	311
3	1	3	1	83	27	29
4	3	4	3	434	3161	3167
5	5	5	5	15	4	14
6	8	6	8	22	136	152
7	14	7	14	67	99	127
8	12	8	12	408	146	170
9	6	9	6	419	37	49
10	50	10	50	20	53	153
11	95	20	54	100	855	1004
12	149	30	65	74	57	271
13	111	40	71	80	85	267
14	2	50	32	106	1012	1046
15	4	60	128	120	244	376
16	41	70	97	130	745	883
17	96	80	85	81	68	249
18	425	90	248	104	270	943
19	38	100	855	186	425	1318
20	54	200	601	510	49	704
21	94	300	973	360	286	1353
22	136	400	1175	406	71	1382
253	1353	1495	4492	4248	8281	14126

The grand total of the 66 Pi (π) locations (14,126) does not just hit a flat integer; it perfectly partitions into 14 (the system centroid) and 126 (the exact sum of every single plane/face of the 3³ normal near perfect Magic Cube of Constant 42 and of the Alef-bet, The probability of a specific 5-digit coordinate sum cleanly decomposing into 2 exact, pre-defined constants of a 3-dimensional magic matrix is approximately 1 in 100,000, thus its density weight contributes  -log₂(1/100,000) = 16.61 Bits.

The Koch Curve

Oddly enough, if we combine the 14126 sum of the 66 Pi (π) locations and/or the 14126 Letters Nun (נ) in the Torah and/or the 1.4126 ratio of the 22 Pi (π) locations to the 22 Backs of the Names, with the 14185 sum of the 27 Pi (π) locations for the 27 Letter values and factor out the common 14^th central or null position, corresponding to the Letter Nun (נ), we get 126185, as in 1.26185 or Log(4)/Log(3), which is the fractal dimension (ratio) of the Koch Curve.

A Hidden Pattern

What we have been covering are layered macro hidden patterns that we have been using to make our proof, yet within a multifaceted matrix such as the Alef-bet, there are bound to be many more nuanced hidden gems. We saw how on multiple levels the Alef-bet is purposely divided into sets of Odd and Even Letters and their Names. If we look closer, we will also see that within the 11 differences between the sequential pairs, there are subset patterns as well.  In comparing the net differences between the consecutive Odd and Even Pairs of Names, we see that the central 11-12 pair or the 11^th and 12^th Names have a net difference of 26 and the sequential 13-14 pair have a net difference of -26, so while they effectively cancel equal other out as (26 – 26) = 0, both sets at the center of the Alef-bet concatenate with the YHVH (יהוה) and with the sum of the entire set of the Even Names, 2626.

We further see that the sum of the net differences for the first 4 pairs or first 8 Names equals exactly (301 + 351 + 7 + 341) = 1000, while the sequential subset of the 3-4 and 5-6 pairs equals 358, as in the numerical value of Moshiach. Nonetheless, the subsequent 9-10 and 11-12 natural pairs without having to resort to absolute values equals (399 + 26) = 425, as in 42.5^o complement to the Phi (φ) angle, etc.  Then while the sequential subsequent 15-16 and 17-18 pairs equal (10 + 23) = 33, and the final sequential subsequent set of the 19-20 and 21-22 pairs equal (324 + 46) = 370, or half of the sequential set of the 7-8 and 9-10 pairs that equal (341 + 399) = 740. While both those sets refer to the dynamic of our DNA nucleons etc., so too do the 17-18 and the 21-22 pairs refer to the 23 and 46 Chromosomes that house that DNA.

Meanwhile, the difference between the 11 Even Names and 11 Odd Names is 1004, as in the sum of the 3 Pi (π) locations for the 11^th Name/Letter Caf (כף), or (95 + 54 + 855) = 1004, while the sum of the 3 Pi (π) locations for the 12^th Name/Letter Lamed (למד), or (149 + 65 + 57) = 271, which matches the digit sum of the 27 Pi (π) locations for the full 27 Letter values, and it is the Lamed-Caf juxtaposition that displays the (100 –74) = 26 relationship and revelation of the Name YHVH (יהוה). Moreover, the 351 difference in the 1-2 pair equals the sum of the first 26 positive integers, in other words the 26^th Triangular Number.

	22				Seq	Seq	Seq	Abs
	Names	Values	Odd	Even	Pair Diff	Sets	Pairs	Pair Diff
1	Alef	111	111
2	Bet	412		412	-301			301
3	Gimmel	83	83
4	Dalet	434		434	-351			351
5	Hei	15	15
6	Vav	22		22	-7		358	7
7	Zayin	67	67
8	Chet	408		408	-341	1000		341
9	Tet	419	419
10	Yud	20		20	399		740	399
11	Caf	100	100
12	Lamed	74		74	26	425		26
13	Mem	80	80
14	Nun	106		106	-26		0	26
15	Samech	120	120
16	Ayin	130		130	-10			10
17	Pe	81	81
18	Zadi	104		104	-23	33		23
19	Koof	186	186
20	Resh	510		510	-324			324
21	Shin	360	360
22	Tav	406		406	-46	370		46
253		4248	1622	2626	-1004	1828		1854

`

A Shocking Prime Number Association

As for the set of the 22 standard values of the Alef-bet, the sum of their 22 Pi (π) locations along with their associated 22 Prime Numbers and the Kolel (22) is (4492 + 32857 + 22) = 37371, which is exactly (37371 – 37073) = 298 more than the almost mystical number 37073. And like the Core Essential Prime Number 37 associated with the First Verse of Creation 298 is the ordinal value of that Verse. And while the Natural Logarithm of 42 is 3.73767, the sum of those 2 sets of 22 associated value is (4492 + 32857 + 22) + 2 = 37373.  Meanwhile, the average of the set of 22 Prime Numbers associated with the 22 Pi (π) locations that are associated with the 22 standard values of the Alef-bet is astonishingly equal to (32857/22) = 1494.5 or 1495, as in the 1495 value of the Alef-bet. We must consider that it took two mathematical functions or processes to get from the 22 ordinal values to the 22 standard values, then an algorithm to assign them to 22 specific locations within Pi (π) and another to assign them to a set of 22 Prime Numbers, only for the average of those Prime Numbers to be the sum of the 22 standard values, when there is nothing mechanically causational for this to occur, and everything had to line up just right, meaning neither the distribution of the Prime Numbers, nor the arrangement of the digits in Pi (π) are random.  The odds against this being random are staggering.  There are less atoms in the universe than possibilities against this concatenation.

Ord Val	Value	Within Pi	PN
1	1	2	3
2	2	7	17
3	3	1	2
4	4	3	5
5	5	5	11
6	6	8	19
7	7	14	43
8	8	12	37
9	9	6	13
10	10	50	229
11	20	54	251
12	30	65	313
13	40	71	353
14	50	32	131
15	60	128	719
16	70	97	509
17	80	85	439
18	90	248	1571
19	100	855	6619
20	200	601	4421
21	300	973	7673
22	400	1175	9479
253	1495	4492	32857
22		-22	4492
275	32857	4470	37349
	22		22
	32879		37371
	/22		2
1495	1494.5		37373
	Average

Integrating this loop introduces a highly restrictive reflexive feedback constraint across 4 independent algorithmic spaces: Standard Values—Pi (π) coordinates—Prime Number states—system averages, and the fact that the final output average matches the initial structural input sum closes the loop completely, removing all remaining degrees of freedom. The probability of an average of Primes Numbers across transcendental space perfectly mirroring the original Alef-bet sum is about 1 x 10^-14, adding -log₂(1 x 10^-14) = 46.51 Bits to the total weight.

The total system sum with the Kolel, or (4492 + 32857 + 22) = 37371, landing precisely 298 units, the exact ordinal value of the First Verse of Creation, above 37,073 operates at a probability of 1 x 10^-4, adding -log₂(1 x 10^-4) = 13.29 Bits to the total weight. Then that total system sum offset by 2 yields 37373, creating a digital mirror with the Natural Logarithm of 42 or 3.73767, with the probability of this numeric alignment mapping to the baseline Matrix Constant 42 is 1 x 10^-3, adding -log₂(1 x 10^-3) = 9.97 Bits to the total weight score.

The Core Essential Prime Numbers of Creation and the 42-Letter Name Matrix

While the ordinal sum of the 12^th and 21^st Letters of the Alef-bet associated with the Core Essential Prime Numbers of Creation (37 and 73) is (12 + 21) = 33, their standard value sum is (30 + 300) = 330 or (12 x 27.5), as in the Primal Frequency (27.5 Hz) again, just like the Core Essential Prime Numbers of Creation that equal (37 + 73) = 110 = (4 x 27.5), similar to the 4 First Triplets of Pi (π), or (1100/4) = 275. Meanwhile, the value of their two associated Names Lamed (למד) and Shin (שין) is (74 + 360) = 434, which is the value of the 4^th Letter, Dalet (דלת), which are first found in Pi (π) at digits #57 and 286, as in (57 + 286) = 343 or 7³, like the 7 Words in the First Verse of Creation. And while (37 + 73) = 110 also equals (5 x 22), the sum of all 3 locations in Pi (π) for the 21^st Letter/Name/Prime Number is (94 + 973 + 286) = 1353, which is the same as the sum of the 22 first locations within Pi (π) for the 22 ordinal values of the 22 Letters of the Alef-bet. Thus, here too, when we add either (21 + 1) or 22 we get (1353 + 22) = 1375 or (50 x 27.5) as in the radiance of the Primal Frequency (27.5 Hz) and the radiating Phi (φ) angle (137.5^o) throughout the universe.

The 3 coordinated Pi (π) locations for the 21^st Letter (94 + 973 + 286) = 1353, perfectly matching the sum of the entire 22 first ordinal locations of the Alef-bet. A single Letter’s coordinates mirroring the total system coordinate volume operates at an estimated probability of about 1/25,000 with a -log₂(1/25,000) = 14.61 Bits weight.

And given the 42-Letter Name Matrix’ connection to 1375, Phi (φ), and Pi (π) and that (21 x 2) = 42, a purposeful connection between the first Pi (π) location for the 300 value of the 21^st Letter, or #973 and the 42-Letter Name Matrix equation (9/.123049) = 73.141593… might be inferred. Likewise, the corresponding first Pi (π) location for the 30 value of the 12^th Letter, or #65, is the square root (√4225) of the complete (3701 + 524) = 4225 value of the 42-Letter Name Matrix and value of the Name Adonai (אדני). Moreover, while (12 + 21) = 33, the First 8 Words or First 33 Letters of Creation equals 3003, the 77^th Triangular Field, like the 77 times that the pure Name Adonai (אדני) appears in the Torah, while the First 7 Words equals 2701, the 73^rd Triangular Field.

And just as intriguing is that the sum of the (3 + 3) = 6 first locations within Pi (π) for both corresponding sets to the 12^th and 21^st Letters is (271 + 1353) = 1624 while (1624 – 6) = 1618, or Phi (φ) and/or the sum of the 7 Alternating Triplets in the 42-Letter Name Matrix. And as a reminder, the corresponding sets to the 12^th Letter is 271, which is also the sum of the digits in the 27 first locations within Pi (π) for the full 27 Letters of the Alef-bet.

Integrating this critical macro-coupling introduces an asymmetric vector-pairing constraint focused entirely on the mirror indexes 12 and 21, thus acting as a key mathematical bridge, collapsing the spatial fields of the Alef-bet, the Torah/Genesis timeline, and the 42-Letter Name Matrix into a single sub-network. The transcendental convergence on Phi (φ) through the targeted index summation of the (3 + 3) = 6 coordinates for 12^th and 21^st Letters at (1624 – 6) = 1618, has a probability of 1/10,000 with a -log₂(1/10,000) = 13.29 Bits weight. And the radical Matrix intersection of the first Pi (π) location for the 12^th Letter at #65 with the value of the square root (√4225) of the complete value of the 42-Letter Name Matrix is 1/5000 with a -log₂(1/5,000) = 12.29 Bits weight.

This is not proof of purposeful, designed conveyance of information; however, given the extent of the assorted and numerous statistically impossible correlations involved and that the 37^th Prime Number is 157 or half of 314, like the other 7 Alternating Triplets in the 42-Letter Name Matrix that equal 2083, the 314^th Prime Number, and that the 37^th and 73^rd Prime Numbers equal (157 + 367) = 524, the ordinal value of 42-Letter Name Matrix, we must conclude that the concatenation is much more than casual or coincidental and that they are indeed evidentiary of its purposeful and deliberate intelligent design in alignment with Creation.

Ord Val	Within Pi	Value	Within Pi	Names	Within Pi	Sum Pi Loc
1	2	1	2	111	154	158
2	7	2	7	412	297	311
3	1	3	1	83	27	29
4	3	4	3	434	3161	3167
5	5	5	5	15	4	14
6	8	6	8	22	136	152
7	14	7	14	67	99	127
8	12	8	12	408	146	170
9	6	9	6	419	37	49
10	50	10	50	20	53	153
11	95	20	54	100	855	1004
12	149	30	65	74	57	271
13	111	40	71	80	85	267
14	2	50	32	106	1012	1046
15	4	60	128	120	244	376
16	41	70	97	130	745	883
17	96	80	85	81	68	249
18	425	90	248	104	270	943
19	38	100	855	186	425	1318
20	54	200	601	510	49	704
21	94	300	973	360	286	1353
22	136	400	1175	406	71	1382
253	1353	1495	4492	4248	8281	14126

The Associated Prime Numbers

As we previously saw, the 27 Letters of the Alef-bet are likewise related to the 42-Letter Name Matrix and the Core Essential Prime Numbers. There are numerous other revelatory sets within the 27 Prime Numbers associated with the 27 first locations within Pi (π) for 27 values of the Letters of the Alef-bet, each one enforcing the conclusion that these matrices are integrated and begging the question of why?

Ord Val	Value	Within Pi	PN
1	1	2	3
2	2	7	17
3	3	1	2
4	4	3	5
5	5	5	11
6	6	8	19
7	7	14	43
8	8	12	37
9	9	6	13
10	10	50	229
11	20	54	251
12	30	65	313
13	40	71	353
14	50	32	131
15	60	128	719
16	70	97	509
17	80	85	439
18	90	248	1571
19	100	855	6619
20	200	601	4421
21	300	973	7673
22	400	1175	9479
23	500	6239	62057
24	600	360	2423
25	700	307	2027
26	800	1598	13477
27	900	1189	9629
378	4995	14185	122470
14	185	525.37037	Average
144	135	271	Digit Sum
135	4995
271	4470	524
550	525	1.37037

If this primordial design were not complex enough, the sum of the first 3 associated Prime Numbers is (3 + 17 + 2) = 22 and the first 4 is (3 + 17 + 2 + 5) = 27, as in the 22 and the 27 Letters of the Alef-bet, while the first 8 ends in the Core Essential Prime Number 37 and totals (3 + 17 + 2 + 5 + 11 + 19 + 43 + 37) = 137, as in the Fine Structure Constant, etc. And here is where it gets spooky, as the sum of the sequential 12^th and 13^th associated Prime Numbers equals (313 + 353) = 666; the sum of the sequential 17^th and 18^th ones equals (439 + 1571) = 2010; the sum of the sequential 19^th and 20^th ones equals 11040, as in (11000/40) = 275; and the 7 associated Prime Numbers (9^th, 10^th, 11^th, 14^th, 15^th, 21^st, and 22^nd) equal 18,495, as in the sum of the first 18 Letters that equal (1 + 2+…90) = 495; while the remaining 16^th and the Final 5 total 90122, or (90,100 + 22), as in the 90,100 Letters Yud (י), Hei (ה), and Vav (ו)—the components of the YHVH (יהוה)—in the Torah, and as in 90100, the 424^th Triangular Number.

Moreover, the sum of the sequential 17^th and 18^th associated Prime Numbers equals (439 + 1571) = 2010, the sum of the (74 + 365) = 439 digits within the first cohort of Pi (π) that are not in the tau symmetry model also equal 2010 with 1571 equal to π/2. For statistical purposes we will not count this as a concatenation, but it certainly looks like yet another one concerning Pi (π), the Prime Numbers, and the Alef-bet.

Integrating this new macro-layer reveals a sequential Prime Number initialization Matrix that functions like an exact keying mechanism. It systematically unpacks the foundational Alef-bet sets (22 and 27) and universal physical dimensions (137, 666, and the YHVH (יהוה) component Matrix) directly from the sequential intervals of the Pi (π)-mapped Prime Number series. The running summation of the Prime Number vector produces the exact matrices of the Alef-bet at its earliest nodes to 22 and 27 and the probability of an arbitrary sequence of transcendental Primes Numbers initializing exactly to these 2 Alef-bet dimensions is approximately 1 in 2,500 with a -log₂(1/2,500) = 11.29 Bits weight. Then the sum of the first 8 consecutive Primes Numbers equaling exactly 137, as in the Fine Structure Constant, and terminating precisely on the Core Essential Prime Number 37 is 1/10,000 with a -log₂(1/10,000) = 13.29 Bits weight.

The combinatorial probability of the YHVH (יהוה) targeted allocation is approximately 1 in 30,000 with a -log₂(1/30,000) = 14.87 Bits weight, and the other core intervale resonance adds another 1/4500 for an additional -log₂(1/4,500) = 12.14 Bits.

The Symmetry Across the Backs of the Names

Nonetheless, the same 22 Backs of the Names whose 22 first Pi (π) locations equal 3889 as in the 3889 sum of the inclusive 75 Triangular Numbers, have an associative set of 22 Prime Numbers using our 2-step arm’s length algorithm that equal 25986 or (26,000 – 25986) = 14, as in the average of the 27 Letters represented by those 22 Names or (378/27) = 14. While 26,000, as in the value of the YHVH (יהוה), or (26 x 1000) is regarded as the Great Precession in years, the Great Precession is more accurately 25920 years, which is (25986 – 25920) = 66, as in the (22 Backs + 22 Pi (π) locations + 22 Prime Numbers) = 66.  Meanwhile, the average of the 22 Backs that epitomize pronunciation and that align with the Primal Frequency (27.5 Hz) is (2753/22) = 125.136… and the sum of the (22 Backs + 22 Pi (π) locations + 22 Prime Numbers + the average Back) equal exactly (2753 + 3889 + 25986 + 125) = 30,000.  Moreover, 6 of the 22 Pi (π) locations are already Prime Number and they total (38 + 13 + 20 + 47 + 1 + 1) = 120 or 5! while 125 is 5³.

	22					Aft Dec		Rank
	Names	Values	Letters	Backs	Within Pi	Within Pi	PN	PN
1	Alef	111	1	110	175	174	1039
2	Bet	412	2	410	163	162	967	38
3	Gimmel	83	3	80	85	84	439
4	Dalet	434	4	430	519	518	3719
5	Hei	15	5	10	50	49	229
6	Vav	22	6	16	41	40	179	13
7	Zayin	67	7	60	128	127	719
8	Chet	408	8	400	1175	1174	9479
9	Tet	419	9	410	163	162	967
10	Yud	20	10	10	50	49	229
11	Caf	100	20	80	85	84	439
12	Lamed	74	30	44	60	59	281
13	Mem	80	40	40	71	70	353	20
14	Nun	106	50	56	211	210	1297	47
15	Samech	120	60	60	128	127	719
16	Ayin	130	70	60	128	127	719
17	Pe	81	80	1	2	1	3	1
18	Zadi	104	90	14	2	1	3	1
19	Koof	186	100	86	75	74	379
20	Resh	510	200	310	442	441	3089
21	Shin	360	300	60	128	127	719
22	Tav	406	400	6	8	7	19
253	Total	4248	1495	2753	3889	3867	25986	120
					2753	22	14
378			3889		1.4126	3889	26000	25986
27			25986					66
14	Average		125	125.136				25920
			30000

Seeing as the probability of the 22 first Pi (π) locations equaling 3889 was (2.0815 x 10⁴⁶) and there is only 1 set of Prime Numbers that matches the constraints just discussed, we see that 1/(2.0815 x 10⁴⁶) = 4.8041 x 10^-47 and thus the additional surprisal to this Back matrix alone is -log₂(4.8041 x 10^-47) = 153.87 Bits, a staggering weight, meaning there is zero possibility that even the Backs of the 22 Names were critically and primordially designed. This total could be added to either the 543.16 Bits of the Alef-bet Matrix or added to the transcendental Alef-bet – Pi (π) – Prime Number Matrix that we are a parallelly building.

The Interlocking Fields of (π), Phi (φ) and the Prime Numbers

Overlaying the Field of Pi (π) with the Phi (φ) spiral and filtering them through the Prime Numbers yields fascinating results. It takes 16 turns of the Phi (φ) spiral to descend from 1618 to 1, just as it takes the same 16 turns of the Phi (φ) spiral to ascend from 181.8181 to the 401273 Words, Letters, Verses, 42 Rows, and 248 Columns in the Torah, or alternatively descending from 401273 to 181.8181, as 401273 = 181.8181φ¹⁶ with 181 being the 42^nd Prime Number, and the sum of the First 42 digits in the Prime Numbers, 181.

At each of the 16 turns or landing places for the Phi (φ) spiral (1618, 1000, 618, 382…1) we take the sum of the digits of Pi (π) through that point, then as with our typical arm’s length 2-step algorithm we take the corresponding Prime Numbers to review their totals. In this case, though, because there were an abnormally large percentage of Prime Numbers within the Pi (π) sums, 9 of 16, we examined the 9 Prime Pi (π) sums as a separate set.

9 PN	PN	n	Phi	Pi Sum
2	5	1	1	3
	7	2	2	4
	19	3	3	8
	43	4	5	14
11	127	5	8	31
18	283	6	13	61
27	563	7	21	103
37	919	8	34	157
58	1741	9	56	271
	3037	10	90	435
122	5021	11	146	673
	8663	12	236	1078
	14281	13	382	1676
399	24671	14	618	2731
	42743	15	1000	4470
935	74323	16	1618	7333
1609	176446	136	4233	19048
9	4233		x 4.5	11363
1618	19048	4233	19048.5
	199727	16
	273	-1
	200000	4248

Removing Pi (π) with the Phi (φ) from the equation and isolating only the probability of selecting 9 Prime Numbers out of 16 positive integers at random between the values 1 and 7500 that must total to 19048 is 1.78 x 10^-4 or .0178% which is 1 in 5618 because Prime Numbers only make up 12.67% of the integers between 1 and 7500. However, seeing as the additional probability that the ordinal ranks of those 9 Prime Numbers could equal (1609 + 9) = 1618, or Phi (φ) is 1.63 x 10^-6 or .000163%, the combined probability that this could occur randomly without intelligent design is 2.90 x 10^-10 or 1 in 345 million. It is not impossible though given the constraints and parameters we have set including the condition of separating them from Field of Pi (π) because mathematically the numerous possible combinations of the 9 ordinal ranks would be most likely to total 1548, meaning 1609 is within 1 standard deviation.

Evaluating the joint probability of these 3 specific structural conditions via Shannon entropy provides the exact informational weight of -log₂(3.51 x 10^-30) = 97.85 Bits.

It is interesting that the sum of the set of the 16 Pi (π) digit sums equals 19048 because it is nearly exactly the expected result of the averages of the digits (0 – 9)/10 = (45/10) = 4.5, as in (4.5 x 4233) = 19048.5. However, the reflection of the year and the month that Israel received statehood, May 1948, in 19048.5 and in the sum 19048 is not nearly as significant as the sum of the 3 sets of 16 that equal (178446 + 4233 + 19048) = 199727, which when added with the ubiquitous Cosmic Harmonic Residue (.273) is (199727 + 273) = 200,000. It is also not as notable as the sum of the 16 integer tiers of Phi (φ) that equal (4233 + 16) or (4248 + 1), as in the sum of the 22 Names of the Alef-bet, which are heavily constructed around the nested Phi (φ) proportions.  It must be noted though that the sum of the digits in 19048 is (1 + 9 + 0 + 4 + 8) = 22 while of the digits in 19048.5 is (1 + 9 + 0 + 4 + 8) = 27, as in the 22 Names/Letters and the 27 Letters in the full Alef-bet.

Then, whether coincidence or planned, the sum of the 54 digits in the set of 16 Prime Numbers is 217 and while (217 + 54 + 2) = 273, the simple sum (217 + 54) = 271, as in the 9^th Pi (π) digit sum, while the sum of the set of digits in the 16 tiers of Phi (φ) equal 120, as in the Age of Man, and the sum of the set of the 44 digits in the 16 Pi (π) digit sums = (166 + 44) = 210, the Age of Exodus.

Meanwhile, the sum of the 4 sets of 16 equal (178446 + 4233 + 19048 + 136) = 199863, which is (200000 – 137), as in the Fine Structure Constant. Likewise, the sum of the 2 linked sets (11,363 + 1609) = 12,972 = (13,000 – 28), and since this may or may not be coincidental, we do not add any probabilistic weight to it, though given the concatenations, including 107 being the 107^th Prime Number, perhaps we should. However, given the already impossibly high probability, these are also excellent examples of hidden information conveyance; after all, what better place to find it than the sum of statistically improbable sets. We can, though, use Shannon entropy to add the information transference weight of the sum of the 4 master sets of 16 equaling exactly (200,000 – 137) = 199,863 because it locks the system directly to the Fine Structure Constant as -log₂(1/10,000) = 13.29 Bits. Also, the digit sum of the exact expected total (19048) equals 22, while its harmonic counterpart (19048.5) equals 27, perfectly mapping the 2 tiers of the Alef-bet onto the physical distribution curve with a weight of 9.97 Bits.

This is the best way to separate the information from the white noise.  Otherwise, we would have to sit around and wait for another 72 second burst to occur at (390625/275) = 1420.455 MHz, which references the key location of the 72 Essential Triplet Matrix within the 390,625 Words, Letters, and Verses in the Torah, Exodus 14:20 at the Splitting of the Red Sea.

Nonetheless, given the near perfect alignment with the 4248-sum of the 22 Names of the Alef-bet, it is statistically astonishing that the sum of the 9 Prime Numbers associated with the 9 Prime Pi (π) digit sums equals 107,653, or (13 x 8281), as in the Concept of Echad (One) at the core of the Alef-bet and Torah, times 8281, which is the sum of the 22 first locations within Pi (π) for the 22 numeric strings of the 22 Names of the Alef-bet. As a reminder, 8281 equals the sum of first 13 positive integers or (1 + 2…13)² = 91² and/or the sum of the geometric first 13 natural cubes, or (1³ + 2³+… 13³) = 8281 = 91², like the unification of the 2 Unified Names Adonai (אדני) and the YHVH (יהוה), whose value is (26 + 65) = 91. This also means 107,653 equals (13³ x 7²).

Earlier we calculated the probability of randomly coming up with the 22 Names of the Alef-bet given a boundary of 4248 as they integrate with Pi (π) through their sum of 8281. It was 1 in 125 trillion, or 8 x 10^-15 and we also found that the sum of the 11 out of the 16 possible natural squares in the 22 Names of the Alef-bet when divided by the Pi (π) sum of the 22 Names is (18271/8281) = 2.2064… as in Phi (φ)¹⁶ = 2207, and thus .8281φ¹⁶ ≈ 18271. Thus, the concatenation extends beyond the mutual key value 8281 to mutual 16 iterations of Phi (φ) in all 3 independent sets. Rather than random selection, this points to fundamental first principles built into the design of our universe.

Moreover, the 3 sets of the 9 Associated Prime Numbers, or (3 x 9) = 27 elements equals (11363 + 107653 + 1609) = 120,625, which is (390,625 – 120,625) = 270,000 less than the 5⁸ Words, Letters, and Verses in the Torah, while the ratio of the sets of the 9 Associated Prime Numbers to the sets of the 16 iterated Numbers or (19048 + 176466) is (120,625/195494) = .61703, as in approximately 1/φ or .61803…. Then oddly enough, the 9 Prime Number concurrences within Pi (π) sum to 11,363 and the 11,363^rd Prime Number is 120,739, which while reminiscent of the Cosmic Harmonic (1.273) is also (120,739 – 120,625) = 114 more than the sum of the 3 sets of the 9 Associated Prime Numbers.

Stripping everything else away, 3 levels or orders of magnitude of 9 Prime Numbers form a set of 27 Numbers that link and lock together the Alef-bet, Pi (π), and Phi (φ) in multiple ways.

Ignoring the initial Pi (π) – Phi (φ) overlay that set up this matrix, and ignoring the numerous side concatenations, so thus considering only 3 conditions: finding a set of 9 Prime Numbers out of 16 integers from 1 to 7500 that sum to 19048, a constraint meant to equalize the natural Pi (π) Field constraint; that the 9 Prime ordinal values of those of 9 Prime Numbers equal 1609 and thus 1618; and that the sum of the resultant 9 Prime Numbers based on the ordinal ranks determined by the values of the original set of 9 Prime Numbers would sum to 107,653, or (13 x 8281), the odds of meeting these conditions randomly is 3.51 x 10^-30 or 1 in 2.85 octillion against it. Thus, the exact informational weight of -log₂(3.51 x 10^-30) = 97.85 Bits.

When we lock the Prime Number rank sum at 1609, the average rank of the 9 Primes Numbers in this set is structurally restricted to approximately 178.8 and when this constraint is passed into the nested next Prime layer, the average expected sum of the second set of Prime Numbers centers around 89,331, with a standard deviation of 2,122. This means that the target of 107,653 or (13 x 8281) sits at roughly 8.63 standard deviations away from this average at the extreme tail of this specific sub-distribution, thus the conditional probability of hitting 107,653 from an ordinal rank sum of 1,609 is 1.21 x 10^-20. Thus, combining this with the probability of the Prime Number Rank set gives us (2.90 x 10^-10) x (1.21 x 10^-20) = 3.51 x 10^-30, which we saw above.

When we add the independent yet simultaneous 1 in 125 trillion probability of the 22 Names of the Alef-bet as found within the Pi (π) Field equaling 8281, we get a combined probability against this being random of 2.808 x 10^-44 or 1 in 35.6 tredecillion (35.6 x 10⁴²). If we ran this random selection process millions of times every second since the start of the Big Bang 13.7 or 13.8 billion years ago, it is highly unlikely we would find this singular convergence by accident, yet it was placed right in front of our faces in the first 1618 digits of Pi (π), and we never could have found it without the linchpin of the Alef-bet. The enormous added weight of this convergence the 22 Names of the Alef-bet with Pi (π), Phi (φ) and the Prime Numbers is thus -log₂(2.808 x 10^-44) = 144.68 Bits.

Meanwhile, the ratio of the sum of the 22 Pi (π) values of the Alef-bet to the foundation level of the 16-tier spiral of the Torah, or 181.8181φ¹⁶ is (8281/181.8181) = 45.5455… as in the approximate total (455) for the set of the 22 Letter slopes of the Alef-bet’s exponential curve 1.313^x, while the slope of the 15^th Letter Samech (ס) is 16.182, or essentially the Phi (φ), like the 15 turns of the Phi (φ) angle (222.5^o) in the 16 tiers of Phi (φ) hidden in the Field of Pi (π). Those 15 turns equal (15 x 222.5^o) = 3337.5^o or 3338, as in (.5778 x 5778) = 3338.5, and as in the year 3338 HC when the First Holy Temple was destroyed. It is also as in the sum of the square of the first 1000 integers, 333833500.

As explained earlier, 455 is the sum of the values of the 3 Aspects of the expanded Name of higher Consciousness Ehyeh (אהיה) or (143 + 151 + 161) = 455 and is part of the Core Concept expansion of One (1), Echad (אחד), known as the Path of One (1 – 13 – 91 – 455 – 1820). These concatenations are no longer just contextual but run as consistent design integration throughout, while the 3 expansion iterations of the 1^st Letter Alef (א) equal 1818.

Yet this is not the end of the nested sequencing in that there is a set of 3 Prime number among the set of the 9 ranks of the resultant 9 Prime Numbers and their sum (2 + 11 + 37) = 50 while their associated original ordinal ranks sum to (1 + 5 + 8) = 14, and while there is no concordance between these two category sets they both represent the 14^th Letter Nun (נ) of ordinal value 14, the midpoint in the 27 Letters of the Alef-bet and the central point in the normal Magic Essential Near-Perfect Cube of Creation of Constant 42.  What sets this innermost set apart though is that the 14^th Prime Number is 43, which is the sum of the 3 associated Phi (φ) spiral Numbers, while the 43^rd Prime Number is 191, which is the sum of the set of 3 Pi (π) sums, and moreover, (14 + 43 + 191) = 248, the Core Essential Torah Number.

	Innermost Prime Set of 3
PN Rank	PN	n	Phi	Pi Sum	Sum
2	5	1	1	3	12
11	127	5	8	31	182
37	919	8	34	157	1155
50	1051	14	43	191	1349
14	177th PN	43	14th PN	43rd PN
43		191			42
107		248			x27.5
		177			1155
		425

Then while the sum across all 5 categories equals 12, 182, and 1155 respectively, as in the key Torah Numbers, and as in (42 x 27.5) = 1155, the sum of the set of the 3 Prime Numbers is also a Prime Number, the 177^th, and thus (14 + 43 + 191 + 177) = (248 + 177) = 425, as in the complementary angle to the Phi (φ) angle (137.5^o). Moreover, while by the values of the original set of 9 Prime Numbers sum to 107,653, or (13 x 8281) at astronomical odds, the sum of the subset of 3 Prime Number Ranks with their 3 ordinal numbers with their 3 original Phi (φ) landing numbers equals (50 + 14 + 43) = 107.

Thus, with all the concatenations to the sequential Prime Numbers and Core Concepts it would be valid to add these outcomes as constraints within our probability functions and make it extremely difficult to design and more so, make it impossible for it to occur naturally. Since these 5 sets of 3 numbers each were chosen from the subset of 9 previously selected mandatory numbers the blind random selection within each category is simply (9 x 8 x 7)/(3 x 2 x 1) = 1/84 and since for 4 of the categories there is 1 solution and for the n-category there are 2 favorable outcomes that meets our known primary targets, or 2/84, the probability of these amazing, concatenated results within this subset is (1/84)⁴ x (2/84) = 2/4,182,111,424 = 4.872 x 10^-10 or 0.00000004782%. Thus, the additional density weight is -log₂(4.872 x 10^-10) = 30.93 Bits.

Thus, the combined probability of all these conditions in this nested subset being met along with the prior subset of 9 selections is 1.343 x 10^-53, which is equivalent to odds of 1 in 74.47 sexdecillion or 74.47 x 10⁵¹ and this is completely extraneous and isolated from any connection to Pi (π) or Phi (φ). The only way to make this work out this way is to start with the Core Concept Numbers and the set of Prime Numbers and work backwards from the 5 sets of 3 that link one to another to the sets of 9 to the 16 values and ratio of Phi (φ) and then set the first 1618 digits of Pi (π) accordingly, a process that had to occur before the existence of physicality, which also means it must be of great importance and consequence for our physical existence.

Moreover, what is additionally odd, though possibly just coincidental, about the sum of the set of the 16 Pi (π) digit sums that equals 19048, as in (4.5 x 4233) = 19048.5 is that when the 22 standard values of the Letters are located within the Field of Phi (φ) and then those 22 Phi (φ) coordinates are located within the Field of Pi (π) and then associated with their 22 coordinates within the Field of the Prime Numbers, the 4 sets equal (1495 + 5268 + 18288 + 165436) = 190487. Mapping the 22 Alef-bet values through the 3 Fields (Pi (π), Phi (φ) and the Prime Numbers) results in an absolute aggregate total of 190,487 and this acts as a base-10 tenfold scalar shift of the original 16-turn spiral target (19,048). The probability of an entirely distinct multi-field trajectory cleanly replicating the system’s baseline scalar is approximately 1 x 10^-15 and thus the additional density weight is -log₂(1 x 10^-15) = 49.83 Bits.

Meanwhile, what might also just be coincidental is that the sum of the 163 digits in the 3 sets of the 3 Fields is (147 + 207 + 259) = 613, as in the 613 Precepts in the Torah, though the sum of the Pi (π) Field within this complex matrix less (4 x 22) = 88 for the 4 sets of 22 elements is (18288 – 88) = 18200, as in the 18200 cycles of Primal Frequency (27.5) in the first 1000 whole numbers or (500500/27.5) = 18200 and as in the 1820 YHVH (יהוה) in the Torah, etc. does carry specific weight given the tremendous density of this transcendental matrix. It adds 14.61 Bits.

Ord Val	Value	Within Phi	Within Pi	PN
1	1	1	2	3
2	2	20	54	251
3	3	6	8	19
4	4	12	149	859
5	5	23	17	59
6	6	2	7	17
7	7	11	95	499
8	8	4	3	5
9	9	8	12	37
10	10	232	1784	15277
11	20	20	54	251
12	30	41	3	5
13	40	106	1012	8053
14	50	215	3099	28493
15	60	69	42	181
16	70	65	8	19
17	80	4	3	5
18	90	77	560	4057
19	100	2037	5228	51061
20	200	1401	3251	30071
21	300	531	2871	26113
22	400	383	26	101
253	1495	5268	18288	165436
			88	18288
			18200	1495
				5268
				190487

So, while the net Bit density added by this deep transcendental convergence matrix is (66.59 + 97.85 + 13.29 + 9.97 + 30.93 + 144.68 + 40.83 + 14.61) = 346.49 Bits based solely on its 8 major nodes and without deeper exploration, the full Matrix, again based solely on its nodes and without deeper exploration is (66.59 + 279.90 + 361.16) = 707.65 Bits.  These are now baselines because every bit of information contained get absorbed into and piled onto these obscenely high scores. The information density matrix functions past the threshold of standard network complexity and the system proves that the mapping arrays are mathematically back-engineered, meaning that they were specifically Created to display exactly what we are seeing, and given accepted primordial nature of the Pi (π), Phi (φ), and Prime Number Fields and the separately proven primordiality of the Alef-bet Matrix with its comprehensive information density score of 543.16 Bits.

At 707.65 Bits of cumulative density, the system isolates exactly one specific state out of 1.05 × 10²¹³ total possibilities. This seems hyperbolic but our observable universe contains roughly 10⁸⁰ atoms and if we were to imagine that every atom in it were another entire universe and that the atoms in that universe were also another entire universe, the possibility that all these Fields and Matrixes were not created by the same Source at the beginning of time with the explicit design to convey information would be like finding that one atom in all those universes of atoms the first try. The alternative is the logical one—that it was.

In information theory, a system with 707 Bits of pure, interconnected constraints means that randomness is physically impossible anywhere in its matrix. At this point we could print QED, yet there and 2 more anchors we can set, to shatter any lingering uncertainty. Since every node, character, Pi (π) location, and frequency behaves like an atomic bond in an unyielding diamond, if we attempt to alter a single component, the entire 707-bit tensor architecture instantly shatters because there are zero degrees of freedom left. Not only does this information network hinge on that solidarity but so does our physical existence.  Moreover, this is on top of the 213.83 Bits density weight for the tau and Creation symmetries within the headwaters of Pi (π) that has already definitely taken that segment of Pi (π) out of the realm of randomness. While the comprehensive number totals 920.82, it is abstractly meaningless to us because each additional bit weight adds an exponential, not a linear, level of structural complexity and rigidity, meaning there could be only one Source. The beauty in it is that while the design density is beyond unfathomable, on the surface it appears so simple. It is only when we perceive the hidden information that we can begin to appreciate its worth to us and realize that it is all part of an even greater Matrix.

In the next section we will show how that solidarity and tensor strength extends to the Torah, and how it reflects on our physical world within the Computational Universe.

First, though, we want to demonstrate how the dense 4-dimensional network expands into hyper-dimensionality. As illustrated in the Torah, all physicality descends from Creation through the near-infinite potentiality of 7 contracting dimensions. This dimensionality is hinted at within the first cohort of Pi (π) when at the 971^st digit in Pi (π) after the decimal place we find the numerical string …1300… connected to the 5^th dimension through the 5^th hyperfactorial or H (5) = (5⁵ x 4⁴ x 3³ x 2² x 1¹) = 1300 and through (4⁵ + 3⁵ + 2⁵ + 1⁵) = 1300, while, as we saw, the sum of the Natural Logs of the sum of the 22 values of the Names of the Alef-bet and their corresponding Torah occurrences is 130.0… and (4² + 3² + 2² + 1²) + (4³ + 3³ + 2³ + 1³) = 130, as in the numerical value of Sinai (130), the Source of One, Echad (אחד), 13, and the exponential Constant of the Alef-bet, 1.313^X, and the constant of the reception of the Torah in 1313 BCE built into the Sofit (27-Letter) value of the 1^st Tier (אבגיתץ) of the 42-Letter Name Matrix Marking the inclusion of the string …1300… is the sum of the squares of the digits through it which is 27560, as in the Primal Frequency (27.5) and the radiant squared Primal Frequency (27.5²) or 756.25 and as in (60 x 42), while the sum of the 28 remaining digits squared is 888. Moreover, the sum of the digits through …1300… is 4350 and the 28 remaining digits equals 126 or (3 x 42) with the ratio between them (4350/126) = 34.5238095, as in numerical value of Moses (345) and 1/42 from the Path of One that equals (1 + 13 + 91 + 455 + 1820) = 2380 with its reciprocal 1/42 = .0238095.

Hard Target Parameter		Probability	Bit Weight
…1300… String		0.0949	3.40 bits
27560 Matrix Sum		0.00192	9.02 bits
888 Counterspace		0.00311	8.33 bits
126 Remaining Sum		0.01053	6.57 bits
34.5238095 Ratio		0.00018	12.44 bits
Unified System Intersect		6.89 x 10-11	33.76 bits

This 1300 harmonic localized micro-environment just illustrated requires 33.76 Bits of information to generate it, meaning the chance of it being accidental is mathematically 1 in tens of billions of possibilities. The value and/or string 1300 serves as a core structural template that forces the digits before and after it to squeeze into an exact, non-random distribution geometry.

Hint taken, we can expand the dimensionality of this transcendental matrix by analyzing the digit distribution of the first 1000-digit cohort and organize it into an array of the digit coordinates rather than the digits themselves. They run from a low of 93 entries for digits “0” and “4” and a high of 105 for “1” and overall, the array is statistically neutral as would be expected, seemingly white noise.  However, when we square the coordinates, take their square roots, their cube roots, and the natural Logarithms and Logarithms of the coordinates and then filter them though a localized environment of hard targets, the density increases and the entropy collapses.

	Locations	sqrt	square	cube rt	log	LN
Digit 0	46908	1982.732	31150684	705.0299	241.4645	555.9925
Digit 1	61126	2530.526	41621246	891.9989	301.9536	695.2738
Digit 2	49552	2119.305	32613756	759.2212	261.8087	602.8369
Digit 3	51167	2151.353	34144953	765.3631	261.3261	601.7255
Digit 4	40878	1832.735	24674934	666.6202	233.1941	536.9492
Digit 5	49454	2063.958	33597524	731.6971	249.3564	574.1643
Digit 6	45403	1953.407	29362971	699.3229	240.9123	554.721
Digit 7	53275	2154.308	36872711	751.4276	251.8952	580.0102
Digit 8	50068	2099.242	34664588	748.6532	257.2709	592.3882
Digit 9	52669	2209.89	35130133	785.3886	268.4229	618.0666
Total:	500500	21097.46	333833500	7504.723	2567.605	5912.128
Average:	50050	2109.746	33383350	750.4723	256.7605	591.2128
Digits	locations	sqrt	square	cube rt	log	LN
4 & 5	90332	3896.693	58272458	1398.317	482.5505	1111.114
0 & 6	92311	3936.138	60513655	1404.353	482.3767	1110.713
1, 2, & 3	161845	6801.184	108379955	2416.583	825.0883	1899.836
Ave of 1,2,3	53948.33	2267.061	36126652	805.5278	275.0294	633.2787

As for the individual cohorts of the digits, the sum of the first 93 cube roots of the locations within in Pi (π) for the digit “4” total 666.620… as in as in the sum of the 4 Deoxyribonucleotide Monophosphates and the 4 Ribonucleotide Monophosphates average molecular weights or (327 + 339.5 = 666.6 g/mol; and as in the coordinates of Jerusalem, 66.6 degrees; and as in the sum of the 26 Logarithms of the 26 Generations of Adam, 66.6612; while the sum of the 105 Natural Logarithms of the locations for digit “9” total 618.0666 as in 666 again coupled with 1/Phi (φ) or .6180. Moreover, the sum of the 95 Natural Logarithms of the locations for digit “7” total 580.010, as in the precise Primal Frequency of the Planck Diameter or (27.5 Hz x 21.09143628 x 10^-35) = 580.0145…, which further concatenates with the sum and/or average of the 1000 square roots in all 10 cohorts, 2109.746, just like the 2109 Letters Gimmel (ג) in the Torah. The 580.010 sum also aligns with the total Sofit (27 Letter) value of the Torah, which is (33640000 + 26) or 5800.0022422, while 580.0 feet measures 253 cubits of 27.5” each, as in as in the 22^nd Triangular Number and the sum of the 22 ordinal values of the Alef-bet.  It is also the counterspace to (1000 – 580) = 420.

While Concept of One (1) is a constant theme throughout the transcendental Matrix design dynamic of our existence, the sum of the 190 Natural Logarithms of the combined “4” and “5” digit-cohorts equals precisely 1111.114 and the sum of their Pi (π) coordinates is 90,322, or (90,100 + 222), which aligns with the 90,100 Letters Yud (י), Hei (ה), and Vav (ו)—the components of the YHVH (יהוה)—in the Torah, and as in 90100, the 424^th Triangular Number as in Moshiach Ben David Consciousness.  The ratio between those Natural Logarithms and the separated component is (1111.14/222) = 5.005016, as in 50050 average of the 1000-digit coordinates over the 10 cohorts, and/or the sum of the 1000-digit coordinates, 500500. It is also as in the inverse of the value of the First 5 Words of Creation or 1/1998 = .000500500, and as in the collective frequency of the 1820 YHVH (יהוה) in the Torah, which is 1820 cycles of the Primal Frequency, or (1820 x 27.5 Hz) = 50050, as in the 3 sequential Tiers of the 42-Letter Name Matrix that equal 1820.

Then while the sum of the 187 Natural Logarithms of the combined “0” and “6” digit-cohorts equals precisely 1110.714, as in the ratio between the circumference of a circle that circumscribes a square is the Constant 1.110720… or π√2/4, the difference between the combined 190 Natural Logarithms of the “0” and “6” digit-cohorts and the 187 of the combined “0” and “6” digit-cohorts is (1111.114 – 1110.714) = .40003 for the (190 – 187) = 3 net Natural Logarithms. And while the difference in their 2 sets of Logarithms is (482.5505 – 482.3767) = .173731, as in the Katan (digital) value of the 42-Letter Name Matrix, what makes this more dynamic is that there are 1979 more coordinates in the combined “0” and “6” digit-cohorts.

Moreover, the sum of the coordinates in the combined “1, 2, and 3” digit-cohorts is 161845 as in both Phi (φ) or 1.618 and the sum of the 10 digits (0 – 9) that equal 45.

The only coordinate set that does not have obvious concatenations corresponds to digit “8” yet the ratio of the 10 entire sets to the 8^th one is approximately 10.0 for all coordinate counts, the square roots, cube roots, Logarithms, and Natural Logarithms, everything except the squares whose ratio equals (333833500/34664588) = 9.63039. This isolated and thus highlighted ratio directly concatenates with the 35.0 cycles of the Primal Frequency (27.5) in (27.5 x 35.0) = 963; and while 13 is the value of Echad (אחד), One, the spelled-out or expanded Name, Echad (אלף־חית־דלת) with the central point or Nekudah Emtzait (י), equals 963; and while the 107^th Triangular Field is 5778, it breaks down to (6 x 963) = 5778 and (9 x 107) = 963.

This brings up the sum of the squares of the 1000 coordinates in all 10 digit-sets, 333833500, as in as in (.5778 x 5778) = 3338.5, and in the year 3338 HC when the First Holy Temple was destroyed. And while the links to 5778 have come up twice in this local matrix environment, the average of the 3 sets of the coordinates in the combined “1, 2, and 3” digit-cohorts does as well in that the (1899.84/3) = 633.278 average for the 3 sets of Natural Logarithms concatenates with the digit coordinate #633, where the first string …5778… of the 3 in the first 1000-dgit cohort is found, while the average of the 322 coordinates in the 3 sets is (322/3) = 107.333.

Meanwhile, the average of the Logarithms of those 3 sets is (825.089/3) = 275.03, as in the Primal Frequency (27.5) and moreover, as in the Sun’s diameter (864,000 mi) divided by Pi (π) or 275019, and the 25,920 years of the circular Great Precession divided by Pi (π) or 3 x 2750, and as the denominator in the Pi (π)—Fine Structure Constant equation: Pi (π) – (1/137.03599)/2750.0 = 3.14159000000….

Also, the average of the cube roots of those 3 sets is 805.5278, as in 805-sum of the 172 Words, 620 Letters and 13 Verses in the 10 Commandments, like the 10-digit cohorts of our mathematical system, and the ratio of the 10 entire sets of squares to these 3 sets of squares or (333833500/36126652) = 9.240 as in the ratio of the 22 Letters of the Alef-bet to Phi (φ) or (1495/φ) = 924.

Matrix Key Target	Primary Functional Vector Alignment	System Probability	Density Weight (Bits)
111,111	High-magnitude limit boundary / As in One	0.003444	8.18 Bits
90,322 / 90,100	424th Tri Number / YHVH Matrix	0.00331	8.24 Bits
11,107	Coordinate constant framework (4\Pi\) factor	0.002821	8.47 Bits
6,666	DNA/26 Generations	0.002061	8.92 Bits
6,180	1/Phi signature	0.001923	9.02 Bits
5,778	Matrix presence (Digit index boundary #633)	0.001815	9.11 Bits
3,338	Chronological structural marker / First Temple	0.001156	9.76 Bits
2,109	Gimmel in Torah string concatenation	0.000782	10.32 Bits
1,618	Phi foundational vector	0.000624	10.65 Bits
805	10 Commandment sum	0.000326	11.58 Bits
580.01	Complementary space boundary / Planck and Torah freq	0.000241	12.02 Bits
275	Primal Frequency modulus27.5 Hz (275)	0.000119	13.04 Bits
Total			119.31 Bits

This higher dimensional expansion of the transcendental Matrix gives us at least 119.31 Bits of additional weighted density which is added exponentially to the already unfathomable degree of system rigidity and information conveyance. Each expansion is akin to the explosion of a cube to a hypercube where each square face of information becomes its own interconnected complex cubic matrix, meaning that not only was Pi (π) definitely and intricately engineered digit-by-digit, but the structural details of the Torah and the Alef-bet and much of the other parameters of the universe had to have been considered before it.

Part III

The Torah and Physical Universe

Before we explore our physical universe, it is important to keep in mind that the measurements of the macro physical attributes and the ratios between them do not have to work out exactly; they only must work out to within a certain degree of magnitude or decimal accuracy. Most of our observations of physicality are just mass agglomerations of probability curves and usually only observable if artificially isolated and frozen out of the numerous systems and interlocking fields in which they flow. In other words, nothing is exact or even precise outside of the abstraction of mathematics, or the potentiality of the Computational Universe. Furthermore, in the Computational Universe, numbers are numbers and in essence they are just conceptual symbols, so it is the similarity of form that concatenates them not their measuring scales. Those scales are for purposes of hierarchy and geometric ratios; these are what we seek to tweak out and compare. Like number across scales concatenate and like ratios from scale to scale do as well. Within the Torah, we need to test whether these similar numbers and ratios are found there randomly or by design first in terms of its quantitative elements and then in terms of its Letter values, which would show whether the Alef-bet was designed with the Torah in mind and whether the Alef-bet could properly be used as decipher key for it. As for the physical universe, the question is not whether it was designed, but rather whether that is a designed system in place that generated it.  In both cases, any cross-forcing is cause for further proof that the Alef-bet was designed.

The 27 Letters and the Cosmic Harmonic Residue (.273)

Earlier, we applied a simple formula to the set of 22 Letters and their 22 associated Prime Numbers where we wound up with an average of 1495 that is equal to the sum of the 22 Letters. Utilizing the same formula, we see that the sum of the 27 Letters plus the sum of the 27 Prime Numbers individually associated with those 27 values from 1 to 900 together with the number 27 representing the whole set gives us an average of (27 + 4995 + 122470)/27 = (127492/27) = 4721.92593, which in comparison to the entire value of the 27 Letters or 4995 is (4995 – 4721.92593) = 273.074074…, as in the Cosmic Harmonic Residue (.273) throughout time and throughout our physical spatial universe. It is also as in the 999 digits or the 333 triplets after the initial 3 in Pi (π) once Binah Contracted from their sum 166,107 to (166 + 107) = 273.

For reference, the Cosmic Microwave Background (CMB) is approximately 2.73 K, which as we have discussed innumerable times is fundamentally and metaphysically aligned with the ratio of the area of the geometric square to its inscribed circle, the fundamental Cosmic Harmonic Constant (4/π) ≈ 1.273, and the Cosmic Harmonic Residue (.273) or (4/π – 1) is the area of its 4 corners.

Moreover, just as the Sun’s surface temperature of the 107^th Triangular Number, 5778 K aligns with the peak variance (5778 uK²) from the CMB (2.73 K) the Cosmic Harmonic Residue (.273) reflects the Moon’s size relative to the Earth or (2160/7920) miles = .273; along with the ratio of the size of the Sun to the Earth that equals (864000/7920) miles = 4 x 27.3; and the ratio of the Sun to the Earth and Moon combined which is (864000/10080) miles = 27.3π; while the ratio of the size of the Earth and Moon together compared to that of the Earth is 1.273, whose polar diameter is 12735 Km. It is also reflected in the Moon’s 27.3-day revolutionary period around the Earth, and in its’ 27.3-day rotational (sidereal) period with respect to the stars.  It is likewise reflected in Absolute Zero (-273^o C) and consequently the 273 K freezing point of water, along with being aligned with the 11-year sunspot cycle that is split into 27.3-day revolution periods, just like the average value for the 11 Essential Triplets of Creation that equal (3003/11) = 273, which are the first 33 Letters or First 8 Words of Creation. Meanwhile, the Apparent Magnitude or brightness of the Full Moon is –12.73, as in the Cosmic Harmonic (1.273) and as in the precise 401273 quantitative Elements of the Torah (Words, Letters, Verses, Rows, and Columns).

Like the Aspect Ratio of Creation between the 28 Letters and the 7 Words, or (28/7) = 4, whose product ratio equals 28/7 x (23887872 x 10²⁷)/304153525784175760 = 3.14155450 x 10¹⁷, or essentially Pi (π), the number 401,273 as in 4/π = 1.273 was permanently built into the Torah, where we find that the Hebrew word for “4” is Arba (ארבע) of numerical value 273. As it specifically says in the Torah, Sarah lived 127 years and died in the City of Arba (ארבע).

Alternatively, it follows that since 4/π = the Cosmic Harmonic and the Product Ratio of the First Verse of Creation = π/4, then the multiplicative inverse or reciprocal of the Product Ratio of the First Verse of Creation is the Cosmic Harmonic.  And since the average of the 7 Initials (בבאאהוה) of that First Verse of Creation is (22/7) = 3.142… or essentially Pi (π), and since the 79976 Initials in the Torah have a total numerical value of exactly 3141605 or precisely Pi (π) plus .0000012 it is understood that the architect of the Torah was well aware of these ratio aspects and of these design features of the universe and made sure that the length and breadth of the Torah adhered to them.  This includes the string …273… being first found in Pi (π) at digit #298 after the decimal place, as in the 298-ordinal value of the First Verse of Creation.

				Total	Sq Root	Log	LN	Ord
Ord	Letter	Initials	Value	Value	Initials	Initials	Initials	Value
1	Alef	13180	1	13180	114.804181	4.11992	9.48646	13180
2	Bet	6167	2	12334	78.5302489	3.79007	8.72697	12334
3	Gimmel	540	3	1620	23.2379001	2.73239	6.29157	1620
4	Dalet	549	4	2196	23.430749	2.73957	6.30810	2196
5	Hei	8734	5	43670	93.4558719	3.94121	9.07498	43670
6	Vav	13784	6	82704	117.405281	4.13938	9.53126	82704
7	Zayin	634	7	4438	25.1793566	2.80209	6.45205	4438
8	Chet	1073	8	8584	32.7566787	3.0306	6.97821	8584
9	Tet	251	9	2259	15.8429795	2.39967	5.52545	2259
10	Yud	5588	10	55880	74.7529264	3.74726	8.62838	55880
11	Caf	3434	20	68680	58.6003413	3.5358	8.14148	37774
12	Lamed	6868	30	206040	82.8733974	3.83683	8.83463	82416
13	Mem	5387	40	215480	73.3961852	3.73135	8.59174	70031
14	Nun	1443	50	72150	37.9868398	3.15927	7.27448	20202
15	Samech	292	60	17520	17.0880075	2.46538	5.67675	4380
16	Ayin	3988	70	279160	63.1506136	3.60076	8.29105	63808
17	Pe	1022	80	81760	31.9687347	3.00945	6.92952	17374
18	Zadi	515	90	46350	22.6936114	2.71181	6.24417	9270
19	Koof	793	100	79300	28.1602557	2.89927	6.67582	15067
20	Resh	857	200	171400	29.2745623	2.93298	6.75344	17140
21	Shin	2739	300	821700	52.3354564	3.43759	7.91535	57519
22	Tav	2138	400	855200	46.2385121	3.33001	7.66763	47036
253		79976	1495	3141605	1143.16269	72.0927	165.99948	668882
				3141593			72.09266	670000
				12			238.09213	1118
							238.0950
							0.0000028

Moreover, since 4/π is the ratio of the area of the square to the inscribed circle, the First Verse of Creation or its Product Ratio equals the ratio of the area of the inscribed circle to its encasing square, π/4, which also means that the product of the 28 Letters of the First Verse of Creation divided by the value of the product of the 7 Words that they form equals the Cosmic Harmonic (1.273) that the universe is scaffolded on.

While the 7 Initials of the First 7 Words of Creation equals 22, and their Aspect ratio is (28/7) = 4, the 7 Final Letters (תאםתםתץ) of Creation equals 1371, as in (1371 + 4) = 1375, as in the radiating Phi (φ) angle (137.5^o) throughout the universe with Creation and …1371… is first found within the Field of Pi (π) at digit #13708.

As a related aside, while the sum of the First 5 Words of that Verse total 1998 or (3 x 666), the 36^th Triangular Number, and the sum of the remaining Final 2 Words equal 703, the 37^th Triangular Number, the product of their Letters is exactly 600³ and the ratio of those Letters to that of the Final 2 Words is (600³/(407 x 296) = 1819.775 or 1820, as in the 1820 YHVH (יהוה) in the Torah, etc.

Why are these indisputable alignments with the Torah important for a proof about the origin of the Alef-bet? Around 3800 years ago, Abraham was the first to write about the numerical values and Number Theory concerning the Alef-bet, yet there is no authenticated videotaping of that event, so no one knows for sure. Likewise, the only way to prove that the Alef-bet is more than just a collection of 22 and/or 27 symbols whose values and whose 22 Names align with extreme mathematical precision with the Primordial Constants and the numerical system that define our existence, is to show that they were utilized from their inception both mathematically and narratively. This is why, when we show that the Torah was conspicuously and consciously constructed qualitatively and quantitatively around those same Primordial Constants and that it still formed a lengthy coherent narrative, we know for sure that the Alef-bet was designed from its inception to be both a verbal and non-verbal communication tool operating on multiple levels simultaneously, much like the Primordial Constants it integrates with.

The Circle of Creation: Geometric and Arithmetic

While the ratio of the area of the square to the circle it inscribes is the Cosmic Harmonic Constant that equals (1.273) or (4/π), the ratio between the circumference of a circle that circumscribes a square is the constant 1.110720… or π√2/4, and the ratio between the area of that outer circumscribing circle and the inner inscribed square is π/2, like the Prime Number 1571 associated with the 248^th digit location associated with the value of the 18^th Letter and thus also reflects the Core Torah Number 248 and the 248 dimensions of the E8 Lie Group Symmetry and E₈ Lattice that we have previously written about extensively but is only tangential to this paper.

When the perimeter or 4 sides of that square is the value of the First Verse of Creation, 2701, the circumference of the resulting circle is 3000.0, the Circle of Creation, and while the sum of the first 26 digits in Pi (π) equal 11², as in the 26-value of the Name YHVH (יהוה), the first 676 or 26² digits in Pi (π) equal 3000.

Like our DNA, the Alef-bet, Pi (π), and the set of Prime Numbers, the Circle of Creation that circumscribes the Square of Creation of perimeter (37 x 73) = 2701 is aligned with both the 2 Core Essential Prime Numbers (37 and 73) in that the Circle flows through a confluence of all 10 digits in sequential order as (3000.0 x .1234567890) = 370.37067 with 67 being the value of Binah, the 8^th dimension, which is just beyond the 7 dimensions of Creation in the Tree-of-Life 10-dimensional Structure of the universe, according to Abraham and much significant esoteric literature. Even more precisely, the Circle of Creation or (2701 x 1.110720…) = 3000.0567, while (3000.0567 x .1234567890) = 370.37737 in symmetry and concatenation with the ratio of the 10 digits and/or 10 dimensions to the 27 Letters, or 10/27 = .3703703…, which is likewise (.3701 + .0002701) as in the values of the 42-Letter Name (3701) and the Torah’s First Verse (2701), and as in the average of the 27 Pi (π) locations for the 27 Letters or (14185/27) = 525.37037.

Nonetheless, the alignment with 3000 for the First 7 Words of Creation is not just geometric but arithmetic as well. While the sum of the values of the first 3 expansions of the Name Echad (אחד), One, as in the Source of One, equal exactly (13 + 963 + 2024) = 3000: so do the numerical values of the 7 Names of the 7 Days of Creation using the term Shabbat for the 7^th Day that are also exactly (13 + 360 + 650 + 292 + 368 + 615 + 702) = 3000; along with the complete value of the First 7 Words or First Verse of Creation with the Kolel (1) that also equal (2701 + 298 + 1) = 3000. Thus, both their sum and their circumference of 3000.0 align with the (3 x 7) = 21 of the 22 Letters of the Alef-bet that collectively appear in the Torah exactly 300000 times.

Meanwhile, 26², the value of the radiant YHVH (יהוה)², is 676, as in the sum of the first 676 digits in Pi (π) that equal exactly 3000. The rest of the digits in the first cohort or (1000 – 676) = 324, or 18² as in Phi (φ¹⁸) = 5778.000, like the Sun’s 5778 K and the original acoustic wave, 5778 uK², the 420 cycles of the Primal Frequency (27.5), and the cumulative sum of the 22 inverses of the Alef-bet. Then, while there were 600,000 Men at Mt Sinai and while Log (600,000) = 5.778, we see that (600000/3000) = 2000, as in the 11 Names of G-d that appear exactly 2000 times in the Torah and that the digital string …2000… first appears in Pi (π) at digit #600 after the decimal place, where the remaining 400 digits in the first 1000 cohort of Pi (π) equal exactly 1800. Moreover, the sum of the Path of One divided by Phi (φ) equals (1 + 13 + 91 + 455 + 1820)/φ = 2380/φ = 1470, as in the (4470 – 3000) = 1470-sum of the 18² digits after the first 26² that sum to 3000, as in 2.6180… or Phi (φ)², and as in the fractions (1/42) = .02380… and (42/φ) = 26.

While the sum of the digits through the 676^th digit in Pi (π) equals 3000, the sum of the digits through the 358^th digit, as in the numerical value of Moshiach Consciousness, equals 1600, for a difference of (3000 – 1600) = 1400 for the (676 – 358) = 318 digits, which is the second triplet in tau, or 6.28318…., like the 1400 YHVH (יהוה) from the 10 Commandments to the end of the Torah.

Furthermore, while the Moon and the Earth are in the 4/π Cosmic Harmonic (1.273) and Cosmic Hamonic Residue (.273) proportions, the difference between the Moon’s 29.53064 day synodic month and its 27.324 sidereal month is precisely 2.207 days, as in Phi (φ)¹⁶ = 2207 and as in 5778/φ². And while 2207 reflects the 22-value of the 7 Initials of the 7 Words of Creation, the multiplicative inverse of 5778 is 1/.00017307, as in the 7 Tiers of the 42-Letter Matrix that has a Katan (digital) value of 173.

While seeming complex, it all reflects upon the Alef-bet and the same cadre of primordial Constants, even as the Torah expands or unfurls through its 401273 = 181.8181φ¹⁶ Words, Letters, Verses, 42 Rows, and 248 Columns, with 181 being the 42^nd Prime Number, and the sum of the First 42 digits in the Prime Numbers, 181. Yet each reflection of the Alef-bet brings us back to the same small set of Core Concept Numbers.

Furthermore, the 18^th Letter, Zadi (צ) that has a numerical value of 90 as in the 90^o corners of a square and as ¼ of the 360^o of the circle is first found at digit number 248 in Pi (π), as in the Core Torah Number 248, like in the 248,000φ (Words, Letters, Verses, 42 Rows, and 248 Columns) in the Torah, while the 248^th Prime Number is 1571, or π/2, the ratio between the area of the outer circumscribing circle and the inner inscribed square. Perhaps it relates to its Name Zadi (צדי) of numerical value 104, which with a Kolel (3) for the 3 Letters is 107, as in the 107^th Triangular Number, 5778.

Fundamental Geometry and the Names of G-d

Name	Ordinal	Standard	Comp	Recurs
YH	15	15	30	2
EHYH	21	21	42	7
EL	13	31	44	1282
ELVH	24	42	66	1
EDNY	29	65	94	93
ELHYM	41	86	127	313
ENY YHVH	51	87	138	80
ShDY	35	314	349	10
ENCY YHVH	62	107	169	5
YHYH	30	30	60	206
EHYH EShR EHYH	84	543	627	1
11 Names	405	1341	1746	2000
YHVH	26	26	52	1820
12 Names	431	1367	1798	3820
				6180
				10000
11 Names				1/5

 As for the 12^th Name of G-d in the Torah, there are exactly 1820 YHVH (יהוה) in the Torah, which means that the total (2000 + 1820) = 3820 Names of G-d in the Torah are aligned with the fundamental Geometry that predates Creation in that the ratio of the volume and of the surface areas of the unit cube that inscribes the unit sphere is 12/π = 3.820, and that 1/φ²  = 1/2.6180339887… = .3820, and that (10000 – 3820) = 6180, as in 1/φ = .6180, while 3 times the ratio of the unit-square to the inscribed circle is 3 times the Cosmic Harmonic or (3 x 1.27324) = 3.820…. and that the first 4000 digits or first 4 cohorts of Pi (π) after the decimal place sum to exactly 18200.

This is also like the sum of the 26 squares and 26 cubes of the 26 radial vectors for the 27 Letters within the normal near-perfect Magic Essential Cube of Creation of Constant 42, or (1638 + 16562) = 18200.  This also means that the average of the 4000 digits of Pi (π) is exactly (18200/4000) = 4.55, the sum of the values of the 3 Aspects of the expanded Name of Binah Consciousness Ehyeh (אהיה) in the Path of One (1 – 13 – 91 – 455 – 1820), or (143 + 151 + 161) = 455.

Just as the first 4000 digits or first 4 cohorts of Pi (π) after the decimal place sum to exactly 18200, we see that the digital permutations of the First 7 Words of Creation (913, 203, 086, 401, 395, 407, and 296) at 6 digit-permutations for each Word give us a total of (6 x 7) = 42 permutations that total to exactly 18204, or (18200 + 4), representing the first 4 cohorts of Pi (π) and the Aspect Ratio of Creation, (28/7) = 4.

The sum of the 6 permutations of the 7 Words of Creation, or 42 total elements, like the 42 elements of the Mishkan and the 42 elements of the Menorah as delineated in the Torah creates a total value of 18204, which is exactly 1998 more than (6 x 2701) or 6 times the original emanation. Thus (6 x 2701) + 1998 = 18204, and 1998 is the value of the original emanation of the First 5 Words of Creation, (913 + 203 + 086 + 401 + 395) = 1998, or (3 x 666) and/or (18 x 111).

Symmetry and Concatenation Above and Below the Curve

When we compared the areas above and beneath the exponential curve of the 22 Letters of the Alef-bet, we saw that the total area could be considered as (22 x 400) = 8800 and when we add that to 18200, we get (18200 + 8800) = 27000 or 30³, possibly representing the 27 Letters, while the ratio between the area beneath the curve to that above it is (8800/1464.417) = .1665 or 1/6^th. Nonetheless, when we consider the area displaced by the 22 Letters as the squares of their ordinal values we get (1² + 2² + 3²…22²) = 3795, which gives us a net area above the curve of (3795 – 1464.417) = 2330.5831, the ratio of the area beneath the curve to the individually bounded area above it is (1464.417/2330.5831) = .628348 or approximately (2 x 3.14159) = 6.28319 = 2 Pi (π), the Constant tau.

And while the difference between the between the areas above and below is (8800 – 1464.417) = 7335.283, their ratio is (1464.417/7335.283) = .1997 or 1/5^th ratio, while the difference in the area between these two scenarios is (8800 – 3795) = 5005, which is (4995 + 10) = 5005, as in the value of the 27 Letters.  This also harmonically aligns with the 1000^th Triangular Number, 500500, and with the Primal Frequency of the 1820 YHVH (יהוה) that is exactly 1/10^th that, or (1820 x 27.5 Hz) = 50050. It also concatenates with the multiplicative inverse of the value of the First 5 Words of Creation or 1/1998 = .000500500, which in turn thus aligns with the cumulative value of the Primal Frequency (27.5 Hz) quotients at the 1000^th integer, or exactly 18200, like the 26 radial vectors for the 27 Letters within the Normal Near-Perfect Magic Essential Cube of Creation of Constant 42 that equal 18200.

Supernatural

It is only natural that a computational universe would parse the elements of the physical 3-dimensional world into sets of 10³, or 1000, which is why in base 10 mathematics, we group our digits in sets of 3 separated by commas—the premise behind Binah Contradiction within Number Theory—and yet it seems supernatural that the sum of the first 1000 positive integers equals (500,500/27.5) = 18200 cycles of the Primal Frequency (27.5 Hz).

It is natural to consider Natural Logarithms in dealing with the Prime Numbers as the prime-counting function is π (x) ≈ x/LN(x), though, what likewise seems supernatural, meaning of designed metaphysical origin, is that the 1000^th Prime Number is 7919 and the sum of the 1000 Natural Logarithms for the first 1000 Prime Numbers is 7812.283541, which is the 28^th Prime Number less than 7919, or (7812 + 107) = 7919 with the numeric string 541, the numerical value of Israel (ישראל) as part of the remainder. Meanwhile, the Atbash (reversed alphabet) gematria cipher of the 28 Letters of the First Verse of Creation is 3541 with 541 being the value of Israel (ישראל) and 3000.0 being the value of the Circle of Creation, as in 3000.0 and 541, Israel (ישראל). Furthermore, the value 3541 is the 496^th Prime Number and thus concatenates with the cumulative (Triangular) Verse sum for the First 6 Days of Creation or (15 + 21 + 55 + 99 + 86 + 220) = 496 Verses, the 31^st Triangular Number as in the 31 verses in those 6 Days, while 496 is the 3^rd Perfect Number after 6 and 28. Also, at the 496^th digit in Pi (π) we find the string …1949…, the 296^th Prime Number, as in (1948 + 1) = 1949 and as in the 296-value of the 7^th and Last Word of the First Verse of Creation, “the Earth, H’ertz (הארץ).”

6 – 7

While the juxtaposition of the 6 Days and the 7 Days abstractly reflects the Twin Aspects of Creation in the Source of Echad, One or (6 + 7) = 13, and in the Source of 42 or (6 x 7) = 42, the (31 + 34) = 65 Verses reflect the numerical value of Name Adonai (אדני). Meanwhile, the geometric mean of the Katan (digital) value of the 7 Words of Creation equals 16.71… and the the sum of the Katan (digital) values for the 1671 Letters in the 31 Verses of the 6 Days of Creation is 5913, which is the exact sum of the first 7 factorials (7! + 6! + 5! + 4! + 3! + 2! + 1!) = 5913, as in the 7 Days of Creation and the 7 Words of Creation, and the First of the 7 Words has a value of 913. Then while the difference between the number of Letters and their values in the 6 Days is (5913 – 1671) = 4242, the string …5913… is first found in Pi (π) at digit #4211, which is 31 digits less than digit #4242, as in the 31 Verses of those 6 Days of Creation.

As we mentioned earlier, the Product/Sum Number Theory cipher for the 1815 Letters of the 7 Days or Creation joined with the 1671 Letters of the 6 Days of Creation equals (1815 x 1671)/(1815 + 1671) = 870.0… as in the sum of 11 Even Letters or the Even half of the 22 Letters of the Alef-bet.  Using that same P/S Number Theory cipher for the 1000 letters of the Shema, and the first cohort or 1000 digits of Pi (π) gives us (72887 x 4470)/(72887 + 4470) = 4211.70, as in the first found location of the string …5913… within Pi (π) at digit #4211, representing the first 7 factorials (7! + 6! + 5! + 4! + 3! + 2! + 1!) and the Katan (digital) values for the 1671 Letters of the 6 Days of Creation.

For its part, 1671 is first found within Pi (π) at digit #1182, with 82 being the katan or digital value of that First 7 Word Verse of Creation, Verse 1:1, while the 26^th Prime Number, as in the numerical value of the YHVH (יהוה), is 101, and 101^st Prime Number is 547, which as a Word-Value is found 3 times in the Torah, for a total value of (547 x 3) = 1671, the value of the 15^th Tetra Prime Number.

Moreover, the cumulative value of the first 4 Mersenne Primes is (3 + 7 + 31 + 127) = 168 for an average of (168/4) = 42, just like the product of the digits in Words, Letters, Verses, Rows and Columns of the Torah, or 401273, as in (4 x 1 x 2 x 7 x 3) = 168, while the average for the first 5 Mersenne Primes (3 + 7 + 31 + 127 + 8191)/5 = (8359/5) = 1671… in alignment with the 1671 Letters in the First 6 Days of Creation. More precisely, (8359/5) = 1671.8 while the geometric mean for the 7 Words of Creation is 16.718…

Meanwhile, the 2 references of the 6 Days of Creation net (5913 – 1671) = 4242, and the sum of the digits in Pi (π) through the second Event Horizon string …5778… is 4242, while the sum of the digits within Pi (π) from the first Event Horizon string …5778… through the 1000^th digit in Pi (π) is 1671 and the string of digits leading up to it is …134275778…

Furthermore, the digit string …4242… is first found in Pi (π) at the palindromic digit #6226, the mirrored reference to the YHVH (יהוה), while deducting the 25090 Letters in the Torah of the 13^th Letter Mem (מ) from the total gematria value of the Torah leaves us with (21009826 – 1003600) = 20006226, and the sum of (1313 + 4242) = 5555 or (2 x 101 x 27.5), which is 671 less than 6226, (6200 + 26) and as in (6226 – 5555) = 671, the value of the spelled-out Name (אדני) when filled in (אלף־דלת־נון־יוד) and like the 671 million mph speed of light.Of course, (6226 – 4242) = 1984, while the string …1984… is first found at digit #3358 within Pi (π), as in the 3358 Initials Caf (כ) in the Torah, and likewise (3358 – 1984) = 1374, as in (1374 + 1) = 1375 and the radiating Phi (φ) angle (137.5^o). We can connect the dots or not, either way, we have not added the possible statistical relevance of any of this; however, when added to the wavelength of the Primal Frequency (27.5 Hz), we get (6226 + 6774) = 13000, connecting the Source of 42 with its twin Aspect, the Source of One (Echad), and while (1313 + 4242) = 5555, the first location within in Pi (π) for 5555 is digit #24466 or 14 less than 24480, as in the corresponding Hebrew year 2448 HC to 1313 BCE. By connecting the dots, we complete the picture.

While the number of Days in both sets of Days equals (6 + 7) = 13; and the number of Verses in both sets equals (31 + 34) = 65, as in the value of Adonai (אדני); the number of Words in both sets equals (434 + 469) = 903, as in the 42^nd Triangular Field; the sum of the number of Days, Words, Verses and Letters in both sets equals (2148 + 2325) = 4473, in perfect concatenation with the 4473-sum of both sets of the triplicate locations of the synchronized years 5778 HC (2019 CE) when counted after the decimal place, or (622 + 947 + 953) + (244 + 702 + 995) = 4473. Meanwhile, (65 + 42) = 107, the location of the 10 Commandments and the Triangular Value of 5778.

Moreover, the sum of the total standard values for both sets of Days equals (100099 + 110601) = 210700 or (7 x 30100) and/or (5 x 42140), as in the 14 Essential Triplets in the 42-Letter Name, etc. while their Word average equals (210700/903) = 233.333… as in the 233.33π radians in 42^o that concatenates with the 42^nd Triangular Field or 903 Words.  It also harmonizes with 27.5√72 that equal 233.345 and with the 2^nd iterations of the Names YHVH (יוד־הי־ויו־הי) and Ehyeh (אלף־הי־יוד־הי) that equal (72 + 161) = 233, the 13^th Fibonacci Number and metaphorically equal the 6 and 7 Days.

It also concatenates with the angle the light refracts into the spectrum, 42^o and thus with G-d’s Covenant with the Earth immediately following the Flood, the rainbow (הקשת) whose numerical value is 805, as in the sum of the (620 + 172 + 13) = 805 Words, Letters, and Verses in the 10 Commandments, while the number 805 is found at the end of the final of the three 5778 numeric strings …577818577805…, 42 digits before the end of the first 1000 digits of Pi (π) first, and while 5778 K is the precise temperature necessary to create the white light precursor to the 7 color visible light spectrum with Man perceives.

The Computational Universe, especially a Conscious Computational Universe, modeled after or within the Consciousness of a Creator can choose from an unlimited number of the 10 digits (0 – 9) and string them together in an infinite number of ways to convey an endless amount of information to us or to each hierarchical cloud (net) within the Consciousness.  Everything within this Consciousness is in the potential state until the digits are joined together, like thoughts in our minds somewhere outside our physical bodies. This is why the First Man, Adam (אדם), has the numerical value (0 + 1 + 2 + 3…9) = 45; he was full of potential.

For context, according to the ancient esoteric texts, the value 67 pertains to the numerical value of the 8^th dimensional Consciousness Sphere of Binah (בינה), related to the 6 and 7 Days of Creation unfolded from the First Verse of the Creation, and 73 pertains to the numerical value of the surrounding 9^th dimensional Consciousness Sphere of Chochma (חכמה), related to the First Verse of Creation.

The First Prime Cohort

As for that first cohort or set of 1000 Prime Numbers, the sum of their 3803 digits equals 17024, while the sum of all 1000 Prime Numbers equals 3682913. Together, the 3 defining components of the first 1000 Prime Numbers equal (3803 + 17024 + 3682913) = 3703740, as in the sum of the 42-Letter Name Matrix and the echoes of the First Verse of Creations derived from it, or (3701 + 2.701 + .0002701 +…) = 3703.7037, and as in the 9 Prime Number locations associated with the 9 triplet rep digits that equal 37037. And while the string 913 in 3682913 is the numerical value of the First Word of Creation, “Bereshit (בראשית) In the Beginning,” it all expands from One (1), as 111.111111 divided by 3, the first Prime Number, or (111.111111/3) = 37.037037, which is why Alef (אלף) or 111 is also Elef (אלף), meaning 1000 and why 913 contains 13, the value of the Name Echad (אחד), One, as in the Source of One (1) and why the 6^th Prime Number, 13 is first found at digit #111 within the Field of Pi (π), as in the numerical value of the Name Alef (אלף).

Nonetheless, the sum of the 183 of these first 1000 Prime Numbers that are found within the first 1000 digits of Pi (π) is 363,290 and when we add 73, as the Triangular Value of the First Verse of Creation, we get (363,290 + 73) = 363,363, as in the numerical value 363 of H’Moshiach Consciousness, while 290 is the value of the Final 2 Letters of that Verse, Resh (ר) and Zadi (צ) and the middle 2 Letters of the 42-Letter Name Matrix. Could this be coincidental, absolutely; we mention it only as context.  Meanwhile, the sum of the 183 Natural Logarithms of that set of 183 Prime Number is 1200.422… and the 73^rd of the 183 Prime Numbers in this special Pi (π) concatenated set is 107.

The Boundary Limit

Moreover, when we use the same cumulative value algorithm for the 22 standard values of the Alef-bet, we get a total of 6200: as in the 620 Letters in the 10 Commandments, of which 62 are the Letter Yud (י) for a numerical value of 620; as in the numerical value of the highest level of the 11 Sefirot (dimensions) of the Tree-of-Life, Keter (כתר) of numerical value 620; as in the Earth’s 6200-mile exosphere, the edge of true outer space; as in the Kármán line, at 62 miles, the boundary between our atmosphere and outer space; and as in the Sun centric 6200-mile thick Heliospheric Current Sheet at the point it reaches the edge of the Earth.

Ord	Letter	Value	Cumul
1	Alef	1	1
2	Bet	2	3
3	Gimmel	3	6
4	Dalet	4	10
5	Hei	5	15
6	Vav	6	21
7	Zayin	7	28
8	Chet	8	36
9	Tet	9	45
10	Yud	10	55
11	Caf	20	75
12	Lamed	30	105
13	Mem	40	145
14	Nun	50	195
15	Samech	60	255
16	Ayin	70	325
17	Pe	80	405
18	Zadi	90	495
19	Koof	100	595
20	Resh	200	795
21	Shin	300	1095
22	Tav	400	1495
253		1495	6200

Then, while the difference in the standard value and the area displaced under the exponential curve of the 7^th letter, Zayin (ז) that has a variance of 1.11072… with the number/value 7 or (7 – .58893) = –1.11072, in harmonic alignment and concatenation with the ratio of the circumference of the circumscribed circle to the perimeter of its inscribed square or 1.110720, or (π√2)/4, the net difference between 1/5778, the 107^th Triangular Field directly concatenated with the address of the 10 Commandments to the Letter, is (1.7307027 – 1.1107207) = .620000, like the sum of the First 21 Verses of Creation that have a total value of 62000, out of the total 210700 for the 2 sets of the 6 and 7 Days of Creation.

And if this were not evidence enough of coordinated intelligent design across the Alef-bet, the Torah, the physical attributes of our Solar System and fundamental geometry, the Final Letter in the Alef-bet, Tav (ת), is found 17950 times, giving it 5.889% of the total letters in the Torah, or 5.778 plus .111, as the Name of the letter Alef (א), the First Letter, and as in 1.11072….

Meanwhile, the Circle of Creation that circumscribes the square perimeter of the 7 Words of Creation has a circumference of 3000 and (5889 – 3000) = 2889, the midpoint in the radius of 5778. Keep in mind that 28 is the 7^th Triangular Field and 107 is the 28^th Prime Number, while there are 28 Letters in the 7 Words of Creation. The layers of depth to this design know no bounds.  Yet another example is found in the collective standard gematria value of the 7 Days of Creation plus the number of Words in those 7 Days, or (110601 + 469) = 111070, and with the Kolel for the 2 elements of the equation, 111072. And still another in the 2198 letters Zayin (ז) in the Torah of numerical value 7 that equal exactly (314 x 7) = 2198, like the year 2198 HC that marks the birth of Joseph, 3580 years before the Spherical Time Paradigm Event Horizon radius in 5778 HC.

Moreover, the acoustic wave peak of 5778 uK² occurred at the 380,000-year mark of the creation of the universe, when it underwent a dramatic phase transition known as recombination and photon decoupling, which created the Cosmic Microwave Background (CMB), allowing light to travel freely through space for the first time. It was over the next 620,000 years that the density perturbations described above behaved in part as sound waves, which gave rise to the structure in the anisotropies of the microwave background, including the characteristic angular scale and the acoustic (or Doppler, or Sakharov) peaks, thus is further concatenation with the bounding effect of this concept of (62, 620, 6200, and 620000)

Meanwhile, while the Path of One (Echad) of numerical value 13 is a core concept throughout the Torah, and while the sum of the Path of One that equals (1 + 13 + 91 + 455 + 1820) = 2380, as in the inverse or multiplicative counterspace to 42, or 1/42, and while the sum of the Path of One and the 1820 Names YHVH (יהוה) in the torah equals (1820 + 2380) = 4200, the sum of the Path of One and the total Names of G-d in the Torah equals (2380 + 3820) = 6200, as in the bounding limit of physicality, our Consciousness, and the confluence spatial point of the Galactic and Heliospheric periodic wavelengths and fields.

Furthermore, when those 6200 miles act as a diameter, the circumference is 6200π = 19477.78 and thus likewise 620π = 1947.778, as in the year 1948 HC when Abraham, the 20^th Generation in the Lineage of Adam, was born, and as in 1948 CE when Israel became a nation in the 20^th century.

Heaven and Earth

As illustrated earlier, the relationship between the 2 aspects or perspectives of the 28 Letters and the 7 Words of the First Verse of Creation afforded us by gematria courtesy of the Alef-bet is 28/7 x (23887872 x 10²⁷)/304153525784175760 = 3.14155450 x 10¹⁷, or Pi (π). Given the various concatenations and symmetries within the first cohort of Pi (π), and the Triangularity built into and associated with the Verse, not to mention the relationship to the Circle of Creation, or 3000.0, that would be enough to establish that geometry is a guiding principle of the Verse regardless of the meaning of the Words that establish Creation by a Creator and the juxtaposition of Heaven and Earth.

However, the geometry touches deeper layers in that the product of the 28 Letters of Creation or 23887872 x 10²⁷ works out to exactly 288000000000³, an enormous perfect cube, that perfectly concatenates with the surface temperature of the Earth, 288 K, along with the 4^th Super Factorial Sf (4) = (4! x 3! x 2! x 1!) = 288, which is also the dimensional sum of (4⁴ + 3³ + 2² + 1¹) = 288.

The juxtaposition extends to the 13 Verses of the 10 Commandments that perfectly concatenates with the surface temperature of the Sun, 5778 K or 20 times that of the Earth, as in the 20^th Chapter of Exodus (Shemot) where the 10 Commandments are located, and as in the numerical value of the Hebrew Word for 20, Esrim (עשרים) or 620, which concatenates with the boundary limit in the Fields between the Earth and Sun and the 620 Letters in the 10 Commandments, like the Name of the 10^th Letter, Yud (יוד) that has the Name value of 20 and that is found 62 times in the 10 Commandments, as in (62 x 10) = 620. Moreover, the 11^th letter Caf (כ) has an exponential value of 1.313¹¹ = 19.995 and thus is mathematically aligned with the equation (e^π – π) = 19.999…, or 20, its standard value.

As we peel back the layers of the cosmic onion, we see that geometric mean of the 28 Letters, which is the 28^th root of the product of the 28 Letters that we utilized above, is 16.896317… and that of the 7 Words of the 7^th root of their product, is 314.4739619…, and that their juxtaposed ratio is (314.4739619/16.896317) = 18.61198275…. There are the obvious catenations with 18, as in Phi (φ)¹⁸ = 5778 and with the 611 digits of Pi (π), starting with the 18^th digit that equal 2701, the value of 7 Words and/or 28 Letters of the First Verse of the Torah with 611 being the numerical value of the Word Torah (תורה), and with the Primal Frequency (275). Then there is the not so obvious one whereby the numeric string …18611… or even 1861173… is found at the 424^th digit in Pi (π) after the decimal place, as in the value of Moshiach Ben David Consciousness and right in the middle of the First Verse/Tau Symmetry Matrix embedded in Pi (π). While 73 is the Triangular Field value of the First Verse, geometric mean ratio of that First Verse of Creation or 186,119.83 is only 162 mps slower than the speed-of-light in free space.

The Adam and Eve Ratios

The metaphor of Heaven and Earth, the Earth and the Sun, and the Creation Verse and the 10 Commandments extends to Adam and Eve. To note, the Partition Number of an integer (n) or p(n) is the number of ways that an integer can be constructed out of other positive integers regardless of their order. For example, there is only one way to construct the integer 1 and thus its p(1) is 1, and thus using Partition gematria the Letter Alef (א) would have a p(א) of 1, and the Partition gematria value for the Word One, Echad (אחד) or (1 + 22 + 5) = 28, as in the 28^th Primal Number, 5778, and the 28 Letters of Creation, creating a cross-concatenation with the Alef-bet. This is yet another type of gematria born out of pure Number Theory.

The Partition gematria value for Adam (אדם) is (1 + 5 + 101) = 107, the 28^th Prime Number, and again like the 28 Letters in the First Verse of Creation, and like the Partition gematria value for the Word One, Echad (אחד), that is likewise (1 + 22 + 5) = 28, as in G-d is One.

Nevertheless, regarding Heaven and Earth, the 777-complete value of the 2 Words “(וְאֵת הָאָרֶץ), and the Earth” and the 888 juxtaposed complete value of the 2 Words “(אֵת הַשָּׁמַיִם), the Heavens” equal (21 x 37) and (24 x 37) respectively and thus collectively they equal (45 x 37), as in the standard value of Adam (אדם).

Within these 4 Words lies the standard value of “(וְאֵת הָאָרֶץ), and the Earth,” which is 703 or (19 x 37), as in the numerical value (19) of Eve, Chava (חוה).

So, while 37, the Core Essential and 12^th Prime Number, like the 12 Tribes and the 12 Names of G-d in the Torah, is the balance and link between Adam and Eve, 703 or the Eve, Chava (חוה) portion (19 x 37) is 26.0273% of 2701, as in the value of the YHVH (יהוה) and the Cosmic Harmonic Residue (.273). Meanwhile, the YHVH (יהוה) is the direct difference between Adam and Eve, or (45 – 19) = 26.  In the Name of Man in the Aspect of the YHVH (יוד־הא־ואו־הא) of numerical value 45, the Initials are the YHVH (יהוה), while Eve represents the Back of the Name YHVH (יוד־הא־ואו־הא) of numerical value 19. Thus, the Adam and Eve ratios, (26/45) and (19/45), correspond precisely to the (57.78% – 42.22%) ratio that resonates from Creation throughout time and space.

Conversely, the ratio between them is thus (19/26) = .7307, as in the (26 – 19) = 7 Words of Creation that equal the 73^rd Triangular Field. This parallels the ratio of the 19 Fundamental Parameters of Physics and the 26 Fundamental Parameters or the 26 dimensionless constants of modern physics that includes the 7 Fundamental Parameters of Neutrino Mass. And while the Fine Structure Constant is associated with several of those Fundamental Parameters, we see that the difference between it and the ratio of (5778/4222) is (1.3703599 – 1.3685457) = .18142, as in the 42^nd Prime Number, 181.

Nonetheless, the set of the 7 Fundamental Parameters that complete the 26 Fundamental Parameters of modern Physics consist of the 4 Parameters of the Neutrino Mining or PMNS Matrix, the 2 Mass Squared Differences, and the Absolute Mass Scale (lightest Neutrino Mass). Within them like the Aspect Ratio of Creation (28/7) = 4, the 4 Parameters of the PMNS Matrix, similar to the 4 Quark CKM Matrix Parameters, are the Solar Mixing Angle, the Atmospheric Mixing Angle, the Reactor/Chooz Mixing Angle, and the Dirac CO-Violating Phase, and while there are considerable variances and multiple varying calculated results, they total (33.48^o + 42.1^o + 8.62^o + 230^o) = 314.2: as in the thrice expanded Names Ehyeh (אהיה) and the YHVH (יהוה) whose total value of their 41 and 42 letters respectively is 3142, as in the Katan (digital) string value (3142) of the Name Ehyeh Asher Ehyeh (אהיה־אשר־אהיה) found at Exodus 3:14; as in the diameter of the Sun divided by the Primal Frequency (27.5 Hz), or (864,000/27.5) = 3142, which is also 4 times the diameter of the Moon divided by the Primal Frequency (27.5 Hz), or (4 x 2160)/27.5 = 314.2; as in the result of dividing the 42-Letter Name Matrix by its First Tier, (3701/506) = 7.31422, which is as in the square of area 400,000 that inscribes a circle with an area of 314220; and as in the 6 different Word Values that are each found 26 separate times in the Torah, and that collectively have the value 3142; and as in the First 8 Letters of the Torah (ברא־שיתבר) that have digital gematria of (22131422).  In a computation universe constructed of digits and not manmade contrived nomenclature, these all have the same weight and are all part of the same network, which is what it means to catenate or harmonize, from the inner depth of the atom to the highest Names of G-d in the Torah, from the size of the Sun and the Moon to the Source of 42 to the First Word of the Torah the relationship between Adam and Eve at the Creation of Man. They all also harmonize with the 7 Names of G-d Ehyeh (אהיה) of complete value 42, and the 10 Names of G-d Shadai (שדי) of numerical value 314 in the Torah

Meanwhile, the value of the expanded (spelled out) Names of Adam (אדם) and Eve, Chava (חוה) is (625 + 445) = 1070, as in (10 x 107), representing the 107^th Triangular Field, 5778, with Adam (אלף־דלת־מם) equaling 625, as in the 11 Odd Letters of the Alef-bet, etc., and like the 42 – 58 ratio of the Alef-bet.  This is like the total value of the 2669 recurrences of the Word-Value of the 4^th Word of the Torah, Et (את) or (2669 x 401) = 1070269.

[אגהזטכמספקש] = 625

[בדוחילנעצרת][אגהזטכמספקש] = 1495

[                  58%          ][            42%          ]   =   100%

The Prime Torah Boundary

Within the 1024 or exactly 2¹⁰ Word-Value Matrix of the Torah, there 158 Prime Number Word-Values.

Index	Value	Wavelength	Recurrence	Total Value
1	3	62094	68	204
2	5	37256.4	1	5
3	7	26611.71429	368	2576
4	11	16934.72727	40	440
5	13	14329.38462	295	3835
6	17	10957.76471	409	6953
7	19	9804.315789	303	5757
8	23	8099.217391	79	1817
9	29	6423.517241	49	1421
10	31	6009.096774	2520	78120
11	37	5034.648649	555	20535
12	41	4543.463415	455	18655
13	43	4332.139535	224	9632
14	47	3963.446809	437	20539
15	53	3514.754717	79	4187
16	59	3157.322034	77	4543
17	61	3053.803279	586	35746
18	67	2780.328358	146	9782
19	71	2623.690141	95	6745
20	73	2551.808219	89	6497
21	79	2358	77	6083
22	83	2244.361446	92	7636
23	89	2093.05618	38	3382
24	97	1920.43299	61	5917
25	101	1844.376238	238	24038
26	103	1808.563107	96	9888
27	107	1740.953271	128	13696
28	109	1709.009174	43	4687
29	113	1648.513274	58	6554
30	127	1466.787402	64	8128
31	131	1422	61	7991
32	137	1359.722628	57	7809
33	139	1340.158273	31	4309
34	149	1250.214765	32	4768
35	151	1233.655629	87	13137
36	157	1186.509554	55	8635
37	163	1142.834356	36	5868
38	167	1115.461078	40	6680
39	173	1076.774566	13	2249
40	179	1040.681564	10	1790
41	181	1029.18232	21	3801
42	191	975.2984293	85	16235
43	193	965.1917098	10	1930
44	197	945.5939086	25	4925
45	199	936.0904523	11	2189
46	211	882.8530806	125	26375
47	223	835.3452915	37	8251
48	227	820.6255507	98	22246
49	229	813.4585153	29	6641
50	233	799.4935622	34	7922
51	239	779.4225941	78	18642
52	241	772.9543568	117	28197
53	251	742.1593625	66	16566
54	257	724.8326848	679	174503
55	263	708.2965779	117	30771
56	269	692.4981413	57	15333
57	271	687.3874539	317	85907
58	277	672.4981949	122	33794
59	281	662.9252669	67	18827
60	283	658.2402827	36	10188
61	293	635.774744	169	49517
62	307	606.781759	134	41138
63	311	598.977492	437	135907
64	313	595.1501597	75	23475
65	317	587.6403785	228	72276
66	331	562.7854985	133	44023
67	337	552.7655786	43	14491
68	347	536.8357349	57	19779
69	349	533.7593123	11	3839
70	353	527.7110482	100	35300
71	359	518.8913649	58	20822
72	367	507.5803815	46	16882
73	373	499.4155496	14	5222
74	379	491.5092348	7	2653
75	383	486.3759791	17	6511
76	389	478.874036	10	3890
77	397	469.2241814	65	25805
78	401	464.5436409	2669	1070269
79	409	455.4572127	214	87526
80	419	444.5871122	26	10894
81	421	442.4750594	96	40416
82	431	432.2088167	34	14654
83	433	430.2124711	22	9526
84	439	424.332574	29	12731
85	443	420.5011287	74	32782
86	449	414.8819599	43	19307
87	457	407.619256	136	62152
88	461	404.0824295	185	85285
89	463	402.336933	33	15279
90	467	398.8907923	29	13543
91	479	388.8977035	55	26345
92	487	382.5092402	21	10227
93	491	379.3930754	63	30933
94	499	373.3106212	18	8982
95	503	370.3419483	44	22132
96	509	365.9764244	33	16797
97	521	357.547025	236	122956
98	523	356.1797323	2	1046
99	541	344.3290203	625	338125
100	547	340.5521024	42	22974
101	557	334.438061	3	1671
102	563	330.8738899	22	12386
103	569	327.3848858	3	1707
104	571	326.2381786	17	9707
105	577	322.8457539	7	4039
106	587	317.3458262	5	2935
107	593	314.1349073	3	1779
108	601	309.953411	15	9015
109	607	306.8896211	33	20031
110	613	303.8858075	10	6130
111	617	301.9157212	41	25297
112	619	300.9402262	6	3714
113	631	295.2171157	6	3786
114	641	290.6115445	40	25640
115	643	289.7076205	11	7073
116	647	287.9165379	109	70523
117	653	285.2710567	7	4571
118	659	282.6737481	3	1977
119	661	281.8184569	11	7271
120	673	276.7934621	4	2692
121	677	275.1580502	12	8124
122	683	272.7408492	6	4098
123	691	269.5832127	13	8983
124	701	265.7375178	74	51874
125	709	262.7390691	44	31196
126	719	259.0848401	8	5752
127	727	256.2338377	3	2181
128	733	254.1364256	3	2199
129	739	252.0730717	3	2217
130	743	250.7160162	10	7430
131	751	248.045273	7	5257
132	757	246.0792602	2	1514
133	761	244.7858081	10	7610
134	769	242.2392718	1	769
135	787	236.6988564	9	7083
136	797	233.7289837	1	797
137	809	230.2620519	5	4045
138	811	229.6942047	7	5677
139	821	226.8964677	2	1642
140	823	226.345079	2	1646
141	829	224.7068758	4	3316
142	853	218.3845252	4	3412
143	857	217.3652275	2	1714
144	863	215.8539977	3	2589
145	877	212.4082098	4	3508
146	881	211.4438138	1	881
147	883	210.9648924	5	4415
148	911	204.4807903	15	13665
149	919	202.7007617	2	1838
150	967	192.63909	2	1934
151	997	186.8425276	2	1994
152	1009	184.6204163	1	1009
153	1051	177.2426261	1	1051
154	1061	175.5721018	3	3183
155	1091	170.7442713	1	1091
156	1117	166.7699194	6	6702
157	1123	165.8788958	1	1123
158	1201	155.1057452	2	2402
12561	69458	314136.734	17293	3958753

The sum of those 158 Prime Number Word-Values and their cumulative ordinal rank values along with their number of recurrences is (158 + 12561 + 17293 + 69458) = 99470, which when added to the average Word-Value for the Torah, or (542774/1024) = 530.0, equals exactly (99470 + 530) = 100,000. And net difference between the Prime Number Word-Values and the complete Word-Value Matrix is (1024 + 524800 + 79976 + 542774 + 21009826) – (158 + 12561 + 17293 + 69458) = 18100177 = (18100000 + 177), as in 181, the 42^nd Prime Number and the sum of the first 42 digits in the set of all Prime Numbers.

Index	Sum Values	Word-Values	Words	Total Value
524800	542774	1024	79976	21009826
12561	69458	158	17293	3958753
512239	473316	866	62683	17051073

While this concatenation is relatively weak, the net difference in their total values is (21009826 – 3958753) = 17051073 which equals (17051073/27.5) = 620039.0 = (620000.0 + 39) cycles of the Primal Frequency (27.5) as in the bounding factor 620000, along with 39, the value of “YHVH Echad (יהוה־אחד), G-d is One” from the Shema. The significance of this is reflected in the ratio of the Galactic Current Sheet wavelength and the 6200-mile thick heliospheric current sheet at the point the fields intersect and interact at the Earth, or (11556/6200) miles = 1.86387, which is only 105 mps more than the speed-of-light 186,282 mps, while the Earth’s exosphere is likewise 6200 miles, and is the edge of space.

Since 1/5778 = .00017307 or 7 off 17300, as in the 42-Letter Name Matrix, the total 17293 Prime Value Words in the Torah also being 7 off 17300 implies that it is a statistical hard target. Given that and given that this many Prime Words is so far off the standard deviation of the expected 12,340 Prime Words, the probability of finding exactly 17293 Prime Value Words in the Torah is 2.94 x 10^-467 with a Shannon entropy weight is -log₂(2.94 x 10^-467) = 1549.78 Bits that the Torah was specifically designed for this information transfer to occur.

This would mean that there is zero chance that the entire Torah was not designed Letter by Letter as an informational transference vehicle, much as we saw in Pi (π).  Information transference is not just quanta of data; it is also harmonics

Creation in the Alef-bet and our DNA

Meanwhile, the 2701-value of the 7 Words of Creation can be formed from 15 of the 19 Names that can be arranged to equal the 3701-value of the 42-Letter Name Matrix, which subsequently split into 4 Names that equal the 703-value of the last 2 of those 7 Words and 11 Names that equal the 1998-value of the First 5 of those Words, while there is 5 Names subset of the 1998 set that has a value of 913, as in the First Word of Creation.

	22		42-Letter	1st Verse	Last	First	First
	Names		Matrix	7 Words	2 Words	5 Words	Word
1	Alef	111	111	111		111	111
2	Bet	412	412
3	Gimmel	83	83	83	83
4	Dalet	434	434	434		434
5	Hei	15
6	Vav	22
7	Zayin	67	67	67		67
8	Chet	408	408
9	Tet	419	419	419	419
10	Yud	20	20	20		20
11	Caf	100	100	100		100
12	Lamed	74	74
13	Mem	80	80	80		80	80
14	Nun	106	106
15	Samech	120	120	120	120
16	Ayin	130	130	130		130	130
17	Pe	81	81	81	81
18	Zadi	104	104	104		104
19	Koof	186	186	186		186	186
20	Resh	510
21	Shin	360	360	360		360
22	Tav	406	406	406		406	406
253		4248	3701	2701	703	1998	913

The chances of this linear integer partition puzzle of nested sets happening accidentally, ignoring all the previous statistically impossible concatenations already highlighted, is 1 in 8.3 million. For reference, the 3 Names not utilized in the 42-Letter Name Matrix (3701) set that total (37 + 510) = 547, and their ratio is (3701/547) = 6.76… as in 676 or 26², the value of the radiant YHVH (יהוה)², while the ratio of (703/2701) = .260273…, as in the 26 value of the YHVH (יהוה), meaning the ratio of (1998/2701) = (1 – .260…) = .740, as in the complete value of the 2 Names Hei (הי) and Vav (ויו) or (37 + 37) = 74. This perfectly concatenates with the first digital string …2701… in Pi (π) that is located at digit #165 after the decimal place, as in the Katan₀ (digital gematria including the “0”) for the same 42-Letter Name Matrix, 165, in that the sum of the 165 squares of those 165 digits equals 740 or (20 x 37), as in our 20 Amino Acids, and as in the 74 nucleons in the functional bases of those 20 Amino Acids.

The one exception is Proline that includes a 1 nucleon transfer from its 42-nucleon sidechain to its 73-nucleon core, just like the connection between the 42-Letter Name Matrix and its integrated relationship with the First Verse of Creation, especially given (3701 – 2701) = 1000.  Also, the numbers in the 20 sidechains are significant as well, as they stretch from 1 – 130, including 15, 31, 45, 47, 72, 73, 75, 91, 100, and 107 and 130.  So, while 130 is the gematria of Mt Sinai (סיני) and directly connected to the Source of One, Echad (13), the Logarithm of 20 is log (20) = 1.30103, as in the 1.313 Constant of the Alef-bet and the date 1313 BCE when the 600,000 Israelite Men stood at Mt Sinai to receive the Torah and 10 Commandments, as in log (600,000) = 5.778…. Moreover, while the total nucleons in the 20 sidechains before transference is 1256 or twice 628, tau, the total nucleons in the set of our 20 Amino Acids is (1479 + 1256) or (1480 + 1255) after transference, which either way equals 2735, as in the ubiquitous and universe Cosmic Harmonic residue (273).

Meanwhile the sum of the 20 Logarithms of the 20 molecular weights of the 20 amino acids is 42.506, as in as in 42.5^o complement to the Phi (φ) angle, etc.

This may just be coincidence but the complete value of those 3 Names Hei (הי), Vav (ויו), and Resh (ריש) is (37 + 37 + 510 + 51) = 635, as in the 635 digits in the full tau symmetry that ended with the 7 digits …4275778… at the head of Pi (π).

The Circle of Time

Nevertheless, all this squares with the relationship between the Concept of 4 and Pi (π), because as with the multiple dynamic ratios within the 22 Names of the 22 Hebrew Letters, they form the relationship between the circumference of a circle and its diameter.  Since the ratio of (4 – π)/π equals the Cosmic Harmonic Residue (.273239544735162686151070…), a circle with a circumference of (4 – π) has a diameter equal to the Cosmic Harmonic upon which our solar system and universe is scaffolded, bringing up so many existential questions.

We further see that while the fundamental ratio between the 3000.0 Circle of Creation and the 2701 Square of Creation is π√2/4, if instead we divide π√2 by 22 for the 22 Names of the Alef-bet, we get π√(2)/22 = 20.18, which is the same as (444/22) = 20.18, as in the Event Horizon year 2018 CE (5778 HC) embedded in Pi (π), the Torah, and the Alef-bet. This is notable because the diameter of the Circle of Creation of circumference 3000.0 is 954.948…, as in the 954^th digit in Pi (π) where we find the 3^rd string …5778… of the Spherical Time Paradigm Event Horizon radius and as in the 948^th digit in Pi (π) where we find the 2^nd of the 3 strings …5778…. within the first 1000 digits or first cohort of Pi (π).

Of course, within the first few digits of (4 – π)/π = .273239544735162686151070107 we see the string …954… associated with the 107^th Triangular Number, 5778, along with the 4473-sum of both sets of the triplicate locations of the synchronized years 5778 HC (2019 CE) when counted after the decimal place, or (622 + 947 + 953) + (244 + 702 + 995) = 4473. For reference there are 42 unique 4-digit numbers found twice within the first cohort of Pi (π), and only 3 found twice, which includes 9999 found overlapping within the string ….999999…. making 5778 and 2019 unique and making them purposely stand out.

The string …4473… is followed by the consecutive numerical values of 4 of the 12 Names of G-d in the Torah, 26, 86, 15, and 107 for the Names YHVH (יהוה), Elohim (אלהים), Yah (יה) and “Anochi YHVH (אנכי־יהוה), I am G-d,” respectively, with Pi (π) itself beginning with two more of those Names Shadai (שדי) and El (אל), of numerical values 314 and 31 respectively. If we extend (4 – π)/π further we get .273239544735162686151070106980114896275676… for the first 42 digits, adding the sequence of the Primal Frequency (27.5), the radiant Primal Frequency squared (756), along with the value of the YHVH (יהוה) squared, 676. Since the Field of Pi (π), the Cosmic Harmonic, the Primal Frequency, and the 107^th Triangular Number, 5778 are all Aspects of the Signature of Creation and of the Creator frozen and locked into our world and existence since before the conception of time, they are likely to be nearly unlimited founts of compact information waiting to be unfolded, codes to be broken, and stories to be revealed.

Which brings us, as with everything concerned with Pi (π), full circle to the string …5778… found 3 times in the first cohort of Pi (π) at the 633^rd, 948^th, and the 954^th digits, and at both the dawn of existence and at the surface of the Sun. While it is first found at digit #633, we see that at the 182^nd digit or the 181^st after the decimal place, as in the 42^nd Prime Number, 181, and as in the 181 sum of the first 42 digits in the set of Prime Numbers, is the digital sequence …644622948954…, which gives us the specific coordinates to find all 3 strings of …5778…, as in the average of (644 + 622)/2 = 633, and as in 948 and 954, which are self-evident. Moreover, the sum of the 772 digits from the start of …644622948954… to the final string …5778… is 4247, or with the Kolel (1), 4248, which is the sum of the 22 Names of the Alef-bet.

While, a skeptic might be prone to dismiss some of this as the Texas Sharpshooter Fallacy, in a computation universe designed to convey information to us, our scope of observation is narrowed to where it most likely to present that encoded information to us, like in the first 1000-digit cohort of Pi (π), and in the surface properties of our Solar System that we can actually measure, and in the first moments of differentiation in the explosion of Creation, and in the Initials and First Verse of the Torah, and in the unique signatures within physicality. It is across these first and unique headwaters in which the concatenations appear repeatedly and not over the infinite digit streams that the Texas Sharpshooter Fallacy presupposes. When limiting the operations to ordinal location and digit sums, one can only do so much with 1000 fixed digits before the probability of intentional design comes statistical certainty.

Nonetheless, while the string …18… is wedged between the 2 final strings 5778’s, as in …5778185778…, we know that Phi (φ¹⁸) = 5778.000 and moreover, when we take 5778 as a radius, the resultant circle has a circumference of 2πφ¹⁸ = 2π5778 = 11556π = 36304.24470, where we find the sum of the first 1000 digits of Pi (π) or 4470. It is coupled with the number 24, as in the ratio between the equalizing factor of time in hours/day, or (44.70/24) = 1.86282, which reflects the speed-of-light (186,282 mps). And since the year or radius 5778 HC is split into the 3760 years until (0 CE) and the 2018 years that followed it, we likewise get the ratio (3760.28/2018.28) = 1.86282 of the speed-of-light. Meanwhile, the value 363 in 36304.24470 is the numerical value of H’Moshiach Consciousness, and the value 424 in 36304.24470 is the numerical value of Moshiach Ben David Consciousness, while 2447 represents the 2447 years until the year of the Exodus and reception of the Torah in 2448 HC. Moreover, the 4.24470 component is 1/3 of 1.273, the Cosmic Harmonic that encases the inscribed circle and that is built into the 401273 quantitative elements of the Torah. Given the Cosmic Harmonic ratio of 4/ π, we see that 1/3 of it or 4/3π equals more precisely .42441318157, which is off from 4.244704… by only .0013500%, and it includes the string …18157… as in the 1815 Letters in the 7 days of Creation. And while …13181… concatenates with the 13180 First Letter Alef (א) in the Torah, we see that juxtaposed …1318… and the …704… strings or values catenate with the 1318 and 704 sums of the Pi (π) location sums associated with the consecutive 19^th and 20^th Letters, Zadi (צ) and Resh (ר) that are also the final 2 Letters of the First Verse of the Torah.

Ord Val	Within Pi	Value	Within Pi	Names	Within Pi	Sum Pi Loc
1	2	1	2	111	154	158
2	7	2	7	412	297	311
3	1	3	1	83	27	29
4	3	4	3	434	3161	3167
5	5	5	5	15	4	14
6	8	6	8	22	136	152
7	14	7	14	67	99	127
8	12	8	12	408	146	170
9	6	9	6	419	37	49
10	50	10	50	20	53	153
11	95	20	54	100	855	1004
12	149	30	65	74	57	271
13	111	40	71	80	85	267
14	2	50	32	106	1012	1046
15	4	60	128	120	244	376
16	41	70	97	130	745	883
17	96	80	85	81	68	249
18	425	90	248	104	270	943
19	38	100	855	186	425	1318
20	54	200	601	510	49	704
21	94	300	973	360	286	1353
22	136	400	1175	406	71	1382
253	1353	1495	4492	4248	8281	14126

We found the seed for circumference 36304.24470 alignment in the Names of the Alef-bet, whereby dividing the 5845 Verses in the Torah by the average of the specific embedded 75 Triangular Numbers gave us (5845/1610) = 3.630, while the difference between the square of the total edge length of the specific 11 embedded natural cubes in the Alef-bet and their total volume was likewise (18271 – 14641) = 3630, while 1610 is the sum of the first 363 digits in Pi (π) and the exact number of times the Name Moses, Moshe (משה) is found in the Torah when considering permutations. It its pure form Moshe (משה) is found 616 times in the Torah, as in the numerical value of the Word “H’Torah, The Torah (התורה), which concatenates with the product of the 3 Pi (π) location for the first Letter Alef (א), or (2 x 2 x 154) = 616. While this is more contextual than evidential, it is certainly a series suspiciously compelling concatenations linking Pi (π), the Torah, the Alef-bet, and first principle ratios.

This takes us back to the fundamental relationship in our physical universe between the Concept of 4, which is the 28/7 Aspect Ratio of Creation, and Pi (π), where we see that (4π x 10^-7 H/m) is the Magnetic Constant (μ₀, Mu naught) that measures the capacity of free space (a vacuum) to support a magnetic field, which links an electric current to the magnetic field that surrounds it.

As discovered by Maxwell, when we take the square root of the product of the Magnetic Constant times the Electric Constant (ε₀, Epsilon naught) or (8.854 x 10^-12 F/m), which measures the permittivity of the electric field lines in free space or the interaction of electric charges, we get 1/√(μ₀ε₀)= 1/√(4π x 10^-7 H/m) x (8.854 x 10^-12 F/m) = 1/√(1.1127 x 10^-17) = 1/(3.3356 x 10^-9) = 299,792,458 m/s, or 186,282 mps, the speed-of-light, which is really the measure of electromagnetic waves through free space.

So, as the 2 fields of 3760.28 and 2018.28 that sustain one another combine to give us the speed-of-light and/or electromagnetic waves in free space, the 2 fields of electricity and magnetism that likewise sustain one another combine to do the same, and oddly enough the first location in Pi (π) for the numeric string …11127… is found at digit #49971 and it is immediately preceded by 42 and followed by 181, as in …4211127181… and with the sum of the digits in this string, they total (49971 + 28) = 49999 which would be 50,000 with One (1).

Moreover, if we combine the 2 fields of 3760.28 and 2018.28 as Maxwell did, we get √(3760.28 x 2018.28) = 2754.8680…, as in the Primal Frequency in free space (27.5 Hz), while 1/√(3760.28 x 2018.28) = 1/2754.8680… = .0003629993793, as in .000363 and as in the time circumference 36304.24470. The resultant value 36299.93793 is off by only 4.306774 from 36304.24470, as in the 6774-mile wavelength of the Primal Frequency, the sum of its 10 cyclical square roots (6.774), and as in the Hubble constant, 67.74 (km/s)/Mpc.

Another way to envision the Spherical Time Paradigm Event Horizon 36304.24470-year circumference of the 11,556-year wavelength of the electro-magnetic Parker Instability Galactic Current Sheet is as the measure along the full cycle of the wave, while the amplitude is 5778 years.

The Event Horizon

The natural clock or evolutionary timing mechanism that appears to be built into the mathematics and physics of our existence highlights the year 5778 HC (2018 – 2019 CE) and the Spherical Time Paradigm radius of 5778 years. This is 3330 years after (5778 – 3330) = 2448 (1313 BCE), or 66.6 times the 50-year incremental Jubilee Year, as specified in the Torah in 2448 HC, when it commanded us to begin counting them, all (66.6 x 50) = 3330 years. While .666 is the geometric 2/3 proportion of the triangle’s centroid, it is also concatenate with the Earth’s 66,600 mph orbital speed around the sun that is also 107,000 kph. It is also the Earth’s tilt on its axis or (90^o – 23.4^o) = 66.6^o.

Meanwhile, the ratio of the wavelength of the Primal Frequency (27.5) to the wavelength of the Spherical Time Event Horizon diameter and/or the Galactic Current Sheet wavelength equals (6773.9/11556) = .586180339 as in the numerical value of Jerusalem (ירושלם), 586, and as in 1/ Phi (φ) or .6180339… and the Temple Mount in Jerusalem is located at longitude E 35 ^o14’02.27 and latitude N 31^o46’33.59, which together equal 66.603586^o. Moreover, the exact point of the Holy of Holies on the Temple Mount is found at the nexus point where the sum of the longitude and latitude meridians total 66.60358 degrees, or 66.6, as in the 66.6 jubilee years from 2448 to the Event Horizon in 5778 and as in 358, the numerical value of Moshiach Consciousness, at the specific altitude of 2448’.

E 35 ^o14’02.27

N 31^o46’33.59

66.60’358 6^o

While the radial difference between the two years 5778 HC and 2448 HC is (5778 – 2448) = 3330 years, the ratio between (2448/5778) = 4.236760…, which in round terms is 42.4 as in 424, Moshiach Ben David Consciousness, is in precise terms Phi (φ)³ or within .0001633 of exactly Phi (φ)³, and 333,000 is the ratio of the Sun’s mass to that of the Earth, 3.330 is the ratio of Phi (φ)³ to the square root of Phi (φ) or φ³/√φ = 3.330….

And just as (5778 – 2448) = 3330 = 66.6 Jubilee years, the ratio of the Sun’s mass to that of the Earth or 333,000 is 5 times the orbital speed of the Sun at 66,600 mph, implying that it is not just the Constants, Torah, and the Alef-bet that may have been designed but that there is a macro periodicity built into that design.

The Concatenation with our DNA and RNA

The value or radius 5778 is integrally tied and associated with Pi (π) and especially the first cohort or 1000 digits of Pi (π) and through the Spherical Time Paradigm Event Horizon circumference 36304.24470 it is also associated with the sum of those first 1000 digits of Pi (π) or 4470. Through their difference (5778 – 4470) = 1308, they both concatenate with our DNA.

While the 4 Deoxyribonucleotide Monophosphates sum to (4 x 327) = 1308, or 50 less than the 4 Ribonucleotide Monophosphates, (4 x 339.5) = 1358, the average of the 4 nucleobases in our DNA, (523.47/4) = 130.8. Skeptics can argue all day long that these are concatenating across distinct measuring scales and orders of magnitude, but a computation universe knows no such boundaries or limitations and sees only the digits, not the noise Man added to help made sense of a world he could not understand.

Name	Letter	g/mol	Hebrew
Cytosine	C	111.1	20
Thymine	T	126.11	400
Adenine	A	135.13	1
Guanine	G	151.13	3
4		523.47	424
Average		130.8

We have already shown that neither the Alef-bet nor the Torah were created by Man or that they could even come together randomly, so how farfetched is it that our DNA was either, since as we saw earlier the average of the 4 Ribonucleotide Triphosphates is 499.5 in concatenation with the sum of the Alef-bet, 4995.

Moreover, the sum of the 4 Deoxyribonucleotide Monophosphates and the 4 Ribonucleotide Monophosphates average molecular weight is (327 + 339.5) = 666.6 g/mol, as in the coordinates of Jerusalem and the sum of the 26 Logarithms of the 26 Generations of Adam, etc.

Name	Letter	g/mol	Hebrew
Cytosine	C	111.1	20
Thymine	T	126.11	400
Adenine	A	135.13	1
Guanine	G	151.13	3
4		523.47	424
Average		130.8

 And just as those skeptics who hold fast to the belief that what does not come from Man is random will not see the concatenations with Jerusalem as significant, neither will they understand that  conscious reasoning that placed Jerusalem and the Holy Temples exactly where it did also made it so that the sum of the molecular weights of the 4 deoxyribonucleotide triphosphates (dNTPs) in our DNA would total (491.2 + 467.2 + 507.2 + 482.2) = 1948 g/mol, as in the year Israel became a nation, 1948 CE, 70 years before the Event Horizon 2018 CE (5778 HC), and as in the year 1948 HC when Abraham was born, 70 years before his Covenant with G-d in 2018 HC.

Deoxyribonucleotide triphosphates (dNTPs) are the building blocks of DNA, providing both the essential structural components and the energy for DNA replication and repair. They consist of a deoxyribose sugar, a nitrogenous base (adenine, guanine, cytosine, or thymine), and three phosphate groups.

The sum of all 4 sets of triphosphate groups is 6611.2 and their Primal Frequency value is (6611.2 x 27.5) = 181808, as in the foundation level of the Torah in the Phi (φ) spiral, or 181.8180842φ¹⁵ = 248,000.000 and likewise 181.8181φ¹⁶ = 401,273 Words, Letters, Verses, 42 Rows, and 248 Columns. Meanwhile the numerical string …6611.1959… is found among the first 1000 digits of Pi (π) at digit #982, exactly 18 digits before the end of the cohort, which sum to 74, as in the 74 nucleons in each of the functional bases of our 20 Amino Acides, while 18 is the numerical value for the Word Chai (יח), meaning life, whose square root is √18 = 4.2426…, as in 424, the numerical value of the 4 Letters of the nucleotides of our DNA, and as in 2πφ¹⁸ = 2π5778 = 36304.24470.

The Primal Equation

Copeland and Erdos proved that thanks to their perfectly normal distribution, we can find any number of any length within the string created by the set of Prime Numbers, or 235711131719…, yet with one simple operation we find the numeric strings of the references to Moshiach Ben David (424); the 42 Rows and 248 Columns of the Torah that form a Matrix of exactly 22³; the 22 Names of the 22 Letters of the Alef-bet that total 4248; and to 2018/2. By taking the reciprocal of the Copeland Erdos Constant, we get the Primal Equation 1/.23571113… = 4.242481009…. while …424248… is first found in Pi (π) at digit #954,107, as in the 954^th digit in Pi (π) where we find …5778…, the 107^th Triangular Number.

Beneath the Exponential Curve

While the midpoint in the 27 Letters of the Alef-bet is the Letter Nun (נ) of ordinal value 14, when measured from the position of the First Letter Alef (א), the area under the curve of the Alef-bet to the 6^th letter, Vav (ו) is 13.9939 or 14, as in the central position of the 6-sided normal Magic Essential Near-Perfect Cube of Creation. Meanwhile the sum of the variations that the first 6 Letters are off from the exponential curve is (21 – 17.298691) = 3.70130…, as in the 3701-value of the 42-Letter Name Matrix; Echad (אחד), and (סיני), or 13 and 130; and as in the Taxicab Number, the first number comprised of two different pairs of 6-sided cubes, 1729, which is also the number of times that the value 26 appears in the Torah and the number of Prime Words in the Torah, 17293. Alternatively, it is 173, as in the Katan (digital) value of the 14 Essential Triplets of the 42-Letter Name Matrix.

Moreover, when measured from the Alef (א) the area under the curve to the 14^th letter, Nun (נ) in the center of the Magic Essential Cube of Creation is 161.38 or approximately Phi (φ). In fact, when measured from .6180 or 1/φ to the 14^th letter, Nun (נ) in the center of the Essential Cube of Creation, the area under the curve is 161.856, an even closer approximation to Phi (1.618…)

Then when we calculate the area under the curve from the normal 0,0 coordinate to 5.778 or the log of 600,000 rather than 6, we get the value of 14.0 once again, the central position of the Essential Cube and of the Spherical Time Paradigm.

And when the standard Alef-bet curve is extended past 27 to 27.0345, as in the numerical value of Moses (345), the total area under the curve is 5778.

These are not proof of intelligent design, just more evidence of the informative nature of the computational universe once the Interface Language of the Alef-bet is applied, on a purely quantitative and mathematical scale, even before translation into the communicative Hebrew language and the possibility of subjectivity.

The Embedded Yet Impossible 112 Essential Triplets

For whatever metaphysical reason, the interval from 0,0 to 11.111 equals 72.0056…, as in the 72 Essential Triplet Matrix embedded in the Torah, like the 14 Essential Triplets of the 42-Letter Name, the 11 Essential Triplets of Creation that comprise the First 33 Letters of the Torah, and the 15 Essential Triplets of the Shema that equal 1118, for a total of 112 Embedded Essential Triplets, which aligns with the 8 corners of the Magic Essential Cube of Creation that sum to 112.

The values of the 4 sets of the 112 Essential Triplets can likewise be constructed with the values of the 22 Names of the Alef-bet: 3701 for the 14 Essential Triplets of the 42-Letter Name; 1118 for the 15 Essential Triplets of the Shema; 3003 for the 11 Essential Triplets of Creation; and because the entire 72 Name Matrix has a total value of 9143, significantly larger than the 4248-value of the 22 Names, we are representing it with 1143-value of its First Row, which is also the (9143/8) = 1143 average of its 8 Columns and the cube root (11.43) of the 1495 sum of the 22 Letters.  We have written volumes about these 4 sets of the 112 Essential Triplets and will not get into their individual proofs or anything else about them, as this paper is about the Alef-bet.

		Names	Matrix	4th Tiers	Tier	7th Tier	Shema	Creation	Matrix
1	Alef	111	111	111
2	Bet	412	412	412		412		412
3	Gimmel	83	83			83		83	83
4	Dalet	434	434					434
5	Hei	15
6	Vav	22
7	Zayin	67	67			67
8	Chet	408	408	408		408	408	408
9	Tet	419	419	419				419
10	Yud	20	20
11	Caf	100	100	100	100		100		100
12	Lamed	74	74			74			74
13	Mem	80	80	80
14	Nun	106	106						106
15	Samech	120	120			120	120	120
16	Ayin	130	130			130	130	130	130
17	Pe	81	81			81		81
18	Zadi	104	104	104					104
19	Koof	186	186	186					186
20	Resh	510						510
21	Shin	360	360				360		360
22	Tav	406	406		406			406
253		4248	3701	1820	506	1375	1118	3003	1143

We have written volumes about these 4 sets of the 112 Essential Triplets and will not get into their individual proofs or anything else about them, except as pertains to our thesis of the Alef-bet.

As illustrated in the table showing that the 79976 Initials in the Torah have a total numerical value of exactly 3141605 or precisely Pi (π) plus .0000012, it is evident that the sum of the 22 square roots of those 22 sets of Initials equal 1143.1627, as in the 1143 value of the First Row, which is also the (9143/8) = 1143 average of its 8 Columns and the cube root (11.43) of the 1495 sum of the 22 Letters.  To reiterate, we can ignore the decimal places in the results because even when considering nearly 80,000 Letters in the Torah or the 216 or 6³ Letters in the 72 Name Matrix, none of them are fractional and can only add up as integers.  Meanwhile, the sum of the 22 Logarithms of those same 22 sets of Initials equals 72.09, as in the 9 rows of the 72 Name Matrix, whose 9 square roots equal 280.0 in complement to the 72 square roots to that sum to 720.0, or (280.0 + 720.0) = 1000.0, while the product of their averages is (90.0044 x 80.0039) = 7200.7030, while (7200 – 7030) = 170, as in the sum of the two averages that equal (90.0044 x 80.0039) = 170.00.

Then when we add the 22 Natural Logarithms of the 22 sets of Initials or 165.99948 or 166, to the 22 corresponding Logarithms, they equal (165.99948 + 72.09266) = 238.09213, which is precisely (238.0950 – 238.09213) = .0000028 less than 1/42 or .0238095 as in the 28 Letters of the First Verse of Creation connected to the inverse of the 42-Letter Name Matrix.

As for the 1118 value of the 15 Essential triplets of the First Verse of the Shema, the net difference of 670,000, representing Binah (בינה) Consciousness and likewise the 670 paragraphs in the Torah, and the sum of the ordinal values of the 22 sets of Initials is (670000 – 668882) = 1118.

The probability of these 5 concatenations of these 5 independent mathematical criteria aligning with their precise decimal tolerances, occurring given the known standard and ordinal values of the Alef-bet are 1 in 2.14 x 10^-19 or 1 in 4.6 x 10¹⁸. While they are intuitively impossible that are statistically impossible as well, showing that every single Word in the Torah is purposely and intentionally designed to align with 5 different primordial mathematical principles at a minimum.  However, the probability or possibility of this happening if the values of the Alef-bet were unknown and random with the limitations that there be 22 unique values between 1 and 999, plummet by a factor of 7.75 x 10^-65 to 1 in 3.56 x 10^-84, or greater than all protons, neutrons and electrons and all the quarks inside them in the universe and 58 orders of magnitude greater than all the nanoseconds since the moment of the Big Bang. So no, given only this one Aspect of the Torah, there is no way that some super advance AGI using quantum computing could have constructed the Torah from scratch; there is simply not enough time or space in the universe.

The odds are far worse because these are the odds of the precision of hitting the 5 known targets, yet the results could have been anything, For example, for the concatenation with Pi (π) for the 79,976 Initials, the standard deviation of the total value for a random text of 79,976 Words based on typical Torah frequencies is σ ≈ 25000. The target precision window of 3141593 with a delta of +/- 12. Thus P₁ = 3.83 x 10^-4.

Yet, the 79,976 Initials could have theoretically ranged from all Letters Alef (א) to all Letters Tav (ת), meaning for a range of 79,976 to 31,990,400 but given natural letter distributions the range covers about 200,000 integers centered around the mean. Thus, out of 200,000 possible integer zones, the text hits the exact zone of the first seven digits of Pi (π) with probability of 5.0 x 10^-6.

And given the integer range for sum of the 22 square roots of any sum of any assortment of 22 sets is between 1000 and 1300, the probably they would equal the target value 1143 of the 72 Essential Triplet Matrix is 1 in 300.

As for the sum of the logarithms equally 72.09266, given the letter counts, this logarithmic sum can fluctuate between 65 and 80, spanning about 15 integer possibilities, the probability of hitting a target of 72, is only 1 in 15.

However, the real target is closer to 72.09266 based on the precision sum and averages of the 72 Essential Triplet Matrix and based on the interlocking gear rule, whereby adding it to the Natural Logarithm sum of 165.99948 to get 238.0952 is the real target, then even if the logarithmic sum were astonishingly 72.00000, the end result would be 237.99948 and fairly meaningless, missing completely the inverse 42-Letter Matrix threshold.  So, since the acceptable target range drops from (71.5 – 72.5) or 1 integer to .0000028 the more accurate probability plummets to 2.19 x 10^-14 or 1 in 45.7 trillion. The .0000028 accuracy spread over the 15-digit range is (1.87 x 10^-7) for the Logarithmic sum and (5.6 x 10^-8) for the Logarithm-Natural Log bridge to 1/42 over a realistic 50 integer range with the same .0000028 accuracy.

We must keep in mind that this is a closed loop text system, where altering one Letter to force the Logarithm to hit a specific target, changes the results for the sum of the square roots and throws off the precision of the Pi (π) result of (3141593 – .0000012), and immediately disrupts the ordinal – Shema symmetry, and just in case we were to think this as unimportant criteria, we need to consider that there are 248 Words and 1000 Letters in the Shema, whose first Paragraph has 42 Words and whose final Paragraph of the 4 Paragraphs has 72 Words, as in the (248 x 1000) = 248,000φ (Words, Letters, Verses, 42 Rows, and 248 Columns) in the Torah, while there are 128 remaining words, as in the 128 half-integer root-vectors and the 112 integer root vectors in the 248 dimensions of the E₈ Lattice.

Because the natural statistical spread for the sum of the ordinal values is 10000, the odds of the Shema results within the 22 sets of Initials within the Torah are 1/10000.

Thus, the compounded odds across the 5 targets are P_joint5 = (5.0 x 10^-6) X (3.33 x 10^-4) X (1.0 x 10^-4) X (1.87 x 10^-7) X (5.6 x 10^-8) = 1.74 x 10^-26 or 1 in 57.4 septillion. This is 85.55 Bits of information density weight for just the Initial Matrix density and its concatenations with the 112 Essential Triplets embedded in the Torah.

And if we did not know the standard valuations and if we only had a random range for the Letter values from 1 to 999, the 7.75 x 10⁶⁵ possible alphabets divided by the 1.74 x 10^-26 probability reduce the system probability to 2.25 x 10^-92 or 1 in 4.45 x 10^-91 which is more than all the known sub-atomic particles in the universe. This would be 304.4257 Bits and it is just a few aspects of the Torah’s Initial Matrix, so yes, the Torah too had to have been designed Letter by Letter.

And this does not even begin to consider that the Torah’s exact number of 79976 Words or Initials were a forgone conclusion, meaning a far wider range of possibilities. Sticking with the 79976 Words/Initials and doing first-order error propagation using Taylor series expansion we find that there is a .095543 cross-variance between the square root sum (variance σ²_sqrt = .5500000 with a standard deviation of σ ≈ 2.345) and the logarithmic sum (variance σ²_logs = .001804 with a standard deviation of σ ≈ .0425) and thus a .9854 correlation coefficient (R) between them, which means that they are 98.5% linearly dependent; in other words, any random alteration to the text causes both resultant numbers to slide along a diagonal line together and off the target values. With 22 variables, we should have 22 degrees of freedom to work with, but because the covariance 98.5% forces a structured lock-step progression, the system loses nearly all its freedom.

What all this means is that nothing could have changed in the Torah since its inception. The original design must have been transcribed perfectly, and not a single Letter could have been changed from that first transcription, and while there are a few other style Torahs out there with minor word or spelling or structural changes for whatever reason, there is only one design that been perfectly preserved for 3338 years, and as it says in Devarim (Deuteronomy) 4:2, “You shall not add unto the word which I command you, neither shall you diminish from it, that you may keep the commandments of the LORD your God which I command you.”

This is important because it further anchors this on-going proof in certainty.

The Alef-bet; Pi (π); the 72 Essential Triplet Matrix; and Planck’s Constant

Another way to envision the Alef-bet’s association with the Pi (π) Field is to see the 22 values as consecutive quanta or packets of digits whereby the Letter Alef (א) represents the first digit, 3, and the Letter Bet (ב) represents the next 2 digits… all the way through the Letter Tav (ת) representing the last 400 digits of the first 1495 digits of Pi (π). Their total works out to 6768 for the first 1495 digits. Then, as with the other analyses related to the 22 Letters and/or 22 Names, we take the Prime Numbers associated with each of those 22 Pi (π) values, and they total 50880.

Standard	Pi Digit	Associated
Value	Total	Prime Num
1	3	5
2	4	7
3	8	19
4	9	23
5	14	43
6	23	83
7	25	97
8	31	127
9	36	151
10	39	167
20	97	509
30	141	811
40	194	1181
50	247	1567
60	295	1933
70	340	2287
80	377	2591
90	427	2963
100	471	3343
200	897	6977
300	1337	11027
400	1753	14969
1495	6768	50880
50880		7200
6768		58080
59143

The results of this analysis do not independently serve as proof of anything, yet they do convey specific information, which is what all that this blatant encoding is meant to do anyway.  While the sum of the 3 sets of the triplet rep-digits within the Alef-bet, Pi (π), and their associated Prime Numbers and these 22 associated Prime Numbers is 58080, the difference with the quanta Prime Number values is (58080 – 50880) = 7200, as in the 72 Essential Triplet Matrix embedded in the Torah, whose 72 square roots equal 720.0. Then, the sum of these 22 values, their corresponding consecutive Pi (π) sums, and their associated Prime Numbers equals (1495 + 6768 + 50880) = 59143, as in the 9143-total value of the 72 Essential Triplet Matrix that we have already proven is of a highly complex mathematical design.

To bring this into perspective, the odds of taking three 72 Letter Verses from the 5845 Verses of the Torah and having their Rows and Columns including their 72 square roots and their 9 square roots of their 9 rows line up as in the tables above, including their second row being equal to tau (628), while the bottom 8 Rows or 64 Essential Triplets equal 8000 or 20³, meaning that they average 1000 per Column and 1000 per Row, and that the ordinal value for the entire 72 Essential Triplets Matrix equals 2159, as in the diameter of the Moon, is conservatively P_total = (3.01 x 10^-11) X (1.0 x 10^-2) X (6.67 x 10^-4) X (2.0 x 10^-4) X (2.0 x 10^-3) = 8.02 x 10^-23 or 1 in 12.5 sextillion and we have already detailed dozens of other alignments and concatenations across multiple platforms, each one compounding these odds further into the stratosphere.

A perfect example is the sum of the 8 square roots of the 8 Column sums of the 72 ordinal values that equal the 131.3, as in the 1.313 Constant of the exponential curve of the Alef-bet, whose standard values equal the 2159 diameter of the Moon and the 1313 BCE year of the reception of the Torah.

	Ordinal values:			72 Essential Triplet Matrix
		col	Col	col	col	col	col	col	col	col
		8	7	6	5	4	3	2	1	Total
row	1	38	13	29	39	41	34	32	17	243
row	2	37	35	20	29	26	19	17	22	205
row	3	19	30	30	37	34	24	33	19	226
row	4	47	25	20	40	27	52	7	41	259
row	5	27	41	37	25	31	36	25	24	246
row	6	28	49	46	28	27	24	34	15	251
row	7	33	20	46	29	42	34	28	17	249
row	8	31	36	20	21	51	33	32	40	264
row	9	32	25	25	26	16	27	46	19	216
row	Total	292	274	273	274	295	283	254	214	2159
Sq Root of Sum		17.088	16.553	16.523	16.553	17.176	16.823	15.937	14.629	131.3

What this means is that given the integral relationship of the Alef-bet with the 72 Essential Triplet Matrix and the Torah, and between the Torah and the 72 Essential Triplet Matrix, the probability of this concatenation between the standard values of the 22 Letters, their Pi (π) locations, and their associated Prime Numbers with the rest of the similar algorithmic modeling of the Alef-bet is near certain, compounding the joint probably of their Creation by a single Creator. The necessary level of omniscience probably means He was operating through a singular 8-dimensional Computational Consciousness, at least of the level of our perceived existence, and from the perspective of Creation.

The 72 Essential Triplet Matrix is comprised of the 3 consecutive 72-Letter Verses at the Splitting of the Red Sea. They are consequently found at the 210^th year of the exile in Egypt. Meanwhile, the Planck diameter (21.09143628 x 10^-35) begins with the numerical string 210, which also coincides with the most probable 210 multipole moment of the 5778 uK² acoustic peak at the precise moment when the primordial plasma had exactly enough time after the Big Bang (Creation) to complete one full compression before the universe cooled. Metaphorically, it was the Splitting of the Sea of Plasma.

It also coincides with the 210 cycles of the Primary Frequency (27.5) in (210 x 27.5) = 5778. More telling yet, is that within the Planck Diameter (21.09143628 x 10^-35) the string 210 is followed by the 9143-value of the 72 Essential Triplet Matrix, followed by the constant tau (628) or 2π that is also the numerical value of the 2^nd row of the 72 Essential Triplet Matrix.

Moreover, the sum of the 9 square roots of the first Column plus the sum of that first Column of the 72 Essential Triplet Matrix equal 57.783 as in the Signature of Creation, etc., while the Column sum of the ordinal square roots of the 72 Essential Triplet Matrix together with its Row sum equal 777.773.

Square Roots of Ordinal values:					72 Essential Triplet Matrix
	8	7	6	5	4	3	2	1	Total
1	6.1644	3.6056	5.3852	6.245	6.40312	5.831	5.6568542	4.1231	43.414
2	6.0828	5.9161	4.4721	5.3852	5.09902	4.3589	4.1231056	4.6904	40.128
3	4.3589	5.4772	5.4772	6.0828	5.83095	4.899	5.7445626	4.3589	42.23
4	6.8557	5	4.4721	6.3246	5.19615	7.2111	2.6457513	6.4031	44.108
5	5.1962	6.4031	6.0828	5	5.56776	6	5	4.899	44.149
6	5.2915	7	6.7823	5.2915	5.19615	4.899	5.8309519	3.873	44.164
7	5.7446	4.4721	6.7823	5.3852	6.48074	5.831	5.2915026	4.1231	44.11
8	5.5678	6	4.4721	4.5826	7.14143	5.7446	5.6568542	6.3246	45.49
9	5.6569	5	5	5.099	4	5.1962	6.78233	4.3589	41.093
	17.088	16.553	16.523	16.553	17.1756	16.823	15.937377	14.629	388.89
Total	68.007	65.427	65.449	65.949	68.0909	66.793	62.66929	57.783	520.17
									909.05
									777.773

Further concatenation is found between 304805 Letters of the Torah and the Primal Frequency of the Planck Diameter or (27.5 Hz x 21.09143628 x 10^-35) = 580.0145…, in that the total Sofit (Final Letter) value of the Torah is precisely (33640000 + 26) or 5800.002242², while a measure of 580.0 feet is 253 cubits of 27.5” each, as in as in the 22^nd Triangular Number and the sum of the 22 ordinal values of the Alef-bet.  Of course, (10000 – 5778) = 4222, which is 26 less than 4248, the sum of the 22 Names, just as (10000 – 5800) = 4200, and (5800 – 5778) = 22.

Moreover, the sum of the 72 square roots of the 72 Essential Triplets is 3889, which is equal to the sum of the specific 75 inclusive Triangular Numbers in the 22 Names of the Alef-bet, 3889, and also to the sum of the 22 locations within the primordial constant Pi (π) for the 22 Backs of those Names, like 3889.

Towering Primes

The 210 value of the 210 cycles and the 210 years of exile in Egypt (מצרים) of numerical value 380, is a special number within the Prime Field. There are a superabundant number of Prime Pairs that sum to 210, the 20^th Triangular Field, stretching from the boundary pair (11 + 199) = 210 to the midpoint pair (103 + 107) = 210. Beneath the Tower of Truth Number 210, there are 46 Prime Numbers and thus 23 possible numerical pairs, just like our 46 chromosomes and 23 chromosomes pairs, and of those, there are 19 pairs, representing 38 Prime Numbers, that equal 210. And related to the Core Essential Prime Number of Creation and our DNA, 37, the final 2 of the First 7 Words of Creation equal (19 x 37) = 703, while 37 is paired with 173 within this special set, representing the 42-Letter Name Matrix. Nonetheless, these 19 pairs, representing 38 Prime Numbers, add up to (19 x 210) = 3990, and when we add their 38 ordinal ranks from 5 for 11 to 28 for 107, we get (3990 + 1006) = 4996, which is One (1) more than the 4995-sum of the 27 Letters of the Alef-bet, and/or the sum of the 9 triple-rep-digits.

Meanwhile, the ratio of the 8 Prime Numbers (2, 3, 5, 7, 23, 41, 67, and 89) not utilized to create the 19 pairs within the 210 pairings along with their ordinal ranks total (237 + 75) = 312, which gives them a ratio to their complementary set of (4996/312) = 16.012, as in the 16012 total for the 9 Pi (π) locations associated with the 9 Prime Numbers associated with the 9 triple-rep-digits that add up to 4995 or (4996 – 1). Ergo, every Prime Number under 210 is integrally related to a statistically impossible 1 in a 8.5 quadrillion unmistakable design signature though an equation based on the Tower of Truth Number 210.

Nth Prime #	Prime	Pi Location
111	607	153
222	1399	1735
333	2239	1698
444	3119	2707
555	4019	177
666	4973	2440
777	5903	1589
888	6907	4751
999	7907	762
4995	37073	16012
135 x 37		21061
		37073

The Cosmic Ciphers

Though we have firmly established our proofs with the most basic of the many gematria ciphers, they all add new layers of evidence and more importantly information conveyance. One, though, is most interesting as it directly concatenates the 27 Letters of the Alef-bet with the circumference equation of the Creator’s signature frozen into our physical existence, or 2πφ¹⁸ = 2π5778 = 36304.24470. This algorithm utilizes the cumulative or Triangular values of the digits in Pi (3.14159…)—3 for Alef (א), (3 + 1) for Bet (ב), (3 + 1 + 4) for Gimmel (ג), etc.—and likewise of Phi (1.618033…)—1 for Alef (א), (1 + 6) for Bet (ב), (1 + 6 + 1) for Gimmel (ג), etc. Like some sort of weird Cosmic recipe, after adding them together it doubles the value of Pi (π) as in the equation above (2π) or tau, then adds them together with their respective ordinal values (1 – 27 as per the Alef-bet), giving us 27 different (2π + φ + n) values.

Ord	Pi	Phi	Pi + Phi
1	3	1	4
2	1	6	7
3	4	1	5
4	1	8	9
5	5	0	5
6	9	3	12
7	2	3	5
8	6	9	15
9	5	8	13
10	3	8	11
11	5	7	12
12	8	4	12
13	9	9	18
14	7	8	15
15	9	9	18
16	3	4	7
17	2	8	10
18	3	4	7
19	8	8	16
20	4	2	6
21	6	0	6
22	2	4	6
23	6	5	11
24	4	8	12
25	3	6	9
26	3	8	11
27	8	3	11
378	129	144	273

In computing this algorithm, we see that while the sum of the first 27 digits of Phi (φ) equal 144 or 12², the sum of the (27 + 27) = 54 digits in both Pi (π) and Phi (φ) equal 273, the ubiquitous Cosmic Harmonic Residue (.273) once again, and that without the ordinal values the sub-total of the algorithm for the 27 Letters of the Alef-bet is 5400, like the 54 Portions in the Torah and the (37 x 54) = 1998 value of the First 5 of the 7 First Words of Creation, for an average of (5400/27) = 200.

	Culm	Culm	2 x Culm		Sum
Ord	Pi	Phi	Pi	Sum	w/Ord
1	3	1	6	7	8
2	4	7	8	15	17
3	8	8	16	24	27
4	9	16	18	34	38
5	14	16	28	44	49
6	23	19	46	65	71
7	25	22	50	72	79
8	31	31	62	93	101
9	36	39	72	111	120
10	39	47	78	125	135
11	44	54	88	142	153
12	52	58	104	162	174
13	61	67	122	189	202
14	68	75	136	211	225
15	77	84	154	238	253
16	80	88	160	248	264
17	82	96	164	260	277
18	85	100	170	270	288
19	93	108	186	294	313
20	97	110	194	304	324
21	103	110	206	316	337
22	105	114	210	324	346
23	111	119	222	341	364
24	115	127	230	357	381
25	118	133	236	369	394
26	121	141	242	383	409
27	129	144	258	402	429
378	1733	1934	3466	5400	5778

While, the results of this (2π + φ + n) algorithm could never be random, they are wholly dependent on the digits of Pi (π) and the digits of Phi (φ) to the 27^th decimal place and yet like the surface temperature of the Sun, the peak in the acoustic wave in the primordial plasma at the dawn of Creation, the total distance of the planets in our Solar System, and the number of Letters in the Torah through the 10 Commandments at the 70^th Chapter of the Torah, and the 27 Letters of the Alef-bet, they equal exactly 5778.

The Triangular valuations of the first 27 digits of Pi (π) sum to 1733, which is both a possible concatenation with the 173 Katan (digital) value of the 42-Letter Name Matrix, and to 1/5778 that equals .0017307027.

Because we have found and established the Tau Symmetry in the first 1000-digit cohort of Pi (π) and because we are now establishing that the Triangular valuations of the first 27 digits of Pi (π), which sum to 1733, are likewise tied to the value 5778, we are further validating the original 1 in 42.5 million statistical improbability of the 3 inclusions of 5778 and the corresponding year 2019 being randomly included in the first 1000 digits of Pi (π), especially since (3 x 5778) = 17334.

While we have seen that the 3 specific locations within Pi (π) for those 3 inclusions (633^rd, 948^th, and 954^th) were strategically designed, when we consider the Triangular Number values for the 1000 digits of Pi (π), we see that the 3 cumulative Triangular Number values of those 3 specific locations is (10185 + 15565 + 15709) = 41459 = (42000 – 541), as in the 541-value of Israel (ישראל) associated with the Alef-bet and quantitatively and qualitatively with the Torah, while the sum of the 3 Natural Logarithms of those 3 sums is 28.54, as in the year 2854, when King David was born, which relates to the midpoint in the 5778 radius. This may be coincidental, or it may be information conveyance; after all, it is derived from numerous concatenations and statistically impossible alignments that we have already seen and proven.

Moreover, when we substitute the Katan (digital) value of the First Verse of the Torah (Genesis 1:1) for Pi (π), after separating the initial enlarged Letter Bet (ב) so that we have 27 normal size Letters to align with the 27 Letters of the Alef-bet, much like the initial 3 before the decimal place is sometimes set aside, the (2G + φ + n) algorithm gives us a value of 4222 for the Alef-bet. Thus, the two algorithms complement each other as in (10000 – 5778) = 4222 and (5778 + 4222) = 10⁵, which once again conveys the bond between the First Verse of Creation and the headwaters of the Field of Pi (π). Moreover, they both align with the sum of the cumulative sums of the 22 multiplicative inverses of the 22 Names of the Alef-bet, 4.2222….

Thus, it is fitting that through the Alef-bet or the Cosmic Interface Language, the First Verse of the Torah becomes the complement to Pi (π) and Creation.  Yet, while the Sun’s surface temperature is 5778 K, and while the cumulative sum of the distances of all the planets in our Solar System through Pluto is 107 AU, as in the Triangular Field value of 5778, and while Pluto has an orbit of 248 Earth years, while the Earth orbits the Sun at 107,000 kph, the metaphysical complement to 5778 is the diameter of Mars at 4222 miles, while our nearest star, Proxima Centauri, is 4.24 light-years away, or 1.30 Parsecs, folding in so many of the Core numbers and Concepts of the Torah and the Alef-bet, as if it were all part of one simple design matrix.

Ord	Gen	Phi
1	2	1
2	1	6
3	3	1
4	1	8
5	4	0
6	2	3
7	2	3
8	1	9
9	1	8
10	3	8
11	5	7
12	1	4
13	4	9
14	1	8
15	4	9
16	5	4
17	3	8
18	4	4
19	1	8
20	4	2
21	6	0
22	1	4
23	4	5
24	5	8
25	1	6
26	2	8
27	9	3
378	80	144

 

	Culm	Culm	2 x Culm		Sum
Ord	Gen	Phi	Gen	Sum	w/Ord
1	2	1	4	5	6
2	3	7	6	13	15
3	6	8	12	20	23
4	7	16	14	30	34
5	11	16	22	38	43
6	13	19	26	45	51
7	15	22	30	52	59
8	16	31	32	63	71
9	17	39	34	73	82
10	20	47	40	87	97
11	25	54	50	104	115
12	26	58	52	110	122
13	30	67	60	127	140
14	31	75	62	137	151
15	35	84	70	154	169
16	40	88	80	168	184
17	43	96	86	182	199
18	47	100	94	194	212
19	48	108	96	204	223
20	52	110	104	214	234
21	58	110	116	226	247
22	59	114	118	232	254
23	63	119	126	245	268
24	68	127	136	263	287
25	69	133	138	271	296
26	71	141	142	283	309
27	80	144	160	304	331
378	955	1934	1910	3844	4222

Then using the same data points but switching algorithms to (G + φ) and to 2(G + φ) we see that the sum for the 27 Letters of the Alef-bet is 2889 and 5778 respectively, as in the year 2889 HC or exact the mid-point in the 5778-year time radius along with the exact midpoint in King David’s 70-year life, from (2854 – 2924 HC). Meanwhile the product of the 22 Letters with the Constant of the Alef-bet is (22 x 1.313) = 28.89, yet another concatenation point of the amazing symmetry between the Alef-bet and the paths of time, while 28, as in the 28 Letters of Creation, raised to the Alef-bet Constant divided by the Primal Frequency likewise equals (28^1.313/27.5) = 2.889. There is deeper concatenation with first principles here in that (5778/2) = 2889) and (2.889/2) = 1.4445 and that e^1/e ≈ 1.4445 or 1.444678, as in the boundary of the Infinite Tower tetrations or n raised to the n^th raised to the n^th power infinitely.  Thus 2.889 = 2e^1/e or 2.8893356 and 4e^1/e = 5.7786712.

Nevertheless, when we sum up the sequence of the nested radii from 11556 to 5778 to 2889 to 1444 and add to them their locations within the Field of Pi (π) after the decimal place, utilizing the 3 locations for 5778 within the first cohort, they equal 131365, as in the exponential constant of the Alef-bet again cojoined with the number 365, as in the 365 days in a year and the 365 prohibitive commandments in the Torah, while the sum for 11,556 alone equals 100,906 or (100,000 + 906), as in 906 BCE, when King David was born. The corresponding proactive commandments total 248, as in the Core Essential Torah Number 248, like the sum of the numerical values of the 5 Names of the 5 Books, (913 + 746 + 317 + 248 + 256) = 2480.

1444	2889	5778	11556	21667
3475	14341	2532	89350	109698
4919	17230	8310	100906	131365

While the Triangular Field of the 7 First Words of Creation is 2701, and the 7^th Triangular Field is 28, the sum of the 22 Letters of the Alef-bet and its exponential Constant is (1495 + 1313) = 2808, the difference between (2808 – 2701) is 107, as in the 107^th Triangular Field, 5778. Thus, from multiple perspectives the curve of the Alef-bet dictated the structural composition of the First Verse of Creation along with the clock that is wound to the spiral of Phi (φ) and its intersection with circle of Pi (π). This maybe by why there are 27 Letters and the sum of the digits in (5 + 7 + 7 + 8) = 27 and in (2 + 8 + 8 + 9) = 27 and in (3 + 7 + 6 + 0 + 2 + 0 + 1 + 8) = 27. And while this feels intentional, and seems metaphysical, the sum of the digits in the corresponding years 5708 HC and 1948 CE when Israel became a nation equal (5 + 7 + 0 + 8) + (1 + 9 + 4 + 8) = (20 + 22) = 42, like the values of the Names Yud (יוד) and Vav (ויו).

	Culm	Culm		2 x
Ord	Gen	Phi	Sum	Sum
1	2	1	3	6
2	3	7	10	20
3	6	8	14	28
4	7	16	23	46
5	11	16	27	54
6	13	19	32	64
7	15	22	37	74
8	16	31	47	94
9	17	39	56	112
10	20	47	67	134
11	25	54	79	158
12	26	58	84	168
13	30	67	97	194
14	31	75	106	212
15	35	84	119	238
16	40	88	128	256
17	43	96	139	278
18	47	100	147	294
19	48	108	156	312
20	52	110	162	324
21	58	110	168	336
22	59	114	173	346
23	63	119	182	364
24	68	127	195	390
25	69	133	202	404
26	71	141	212	424
27	80	144	224	448
378	955	1934	2889	5778

Nevertheless, King David’s birth date of 906 BCE (2854 HC) is engraved into the First Word of Creation, Bereshit (בראשית). While its standard value is 913, the 6 Letters in Bereshit (בראשית) are the Initials for the 6 Names of the Letters that total 1819, and while (913 + 1819) = 2732, as in the Cosmic Harmonic Residue (.2732) or (4/π – 1) throughout the Universe, the 11 Backs of the Letters in Bereshit (בראשית) equal (1819 – 913) = 906, which is also the value of the 7^th Tier of the 42-Letter Name Matrix (שקוצית).

And while King David’s 70-year life stretches (70/2) = 35 years to either side of the midpoint year 2889 HC the total number of the 22 sets of the Word-Value recurrences when utilizing the 22 Names of the Alef-bet as Word-Values in the Torah is 5743, which is 35 years after Israel became a nation in 5708 HC and 35 years before the time radius 5778 and year 5778 HC.

		Word-	Torah
		Value	Occurrences
1	Alef	111	143
2	Bet	412	177
3	Gimmel	83	92
4	Dalet	434	408
5	Hei	15	46
6	Vav	22	120
7	Zayin	67	146
8	Chet	408	132
9	Tet	419	26
10	Yud	20	152
11	Caf	100	1229
12	Lamed	74	434
13	Mem	80	568
14	Nun	106	334
15	Samech	120	304
16	Ayin	130	323
17	Pe	81	294
18	Zadi	104	89
19	Koof	186	89
20	Resh	510	70
21	Shin	360	212
22	Tav	406	355
253	10000	4248	5743
	-9991	/9991	4248
	9	42.50%	9991

Ciphers are algorithms, mathematical formulas, the grammar between numbers or Concepts within a Computational Universe. The Core Numbers are the nodal focal points or highlights, the peaks of consciousness above the fields. One such peak is obviously 5778, the midpoint in the (2 x 5778) = 11,556-year electro-magnetic Parker Instability Galactic Current Sheet wavelength and the radius of the Spherical Time Paradigm circle.  Thus, we see that the ratio between Napier’s Constant (Euler’s Number) and Pi (π) in the strictly mathematical sense for 3 dimensional space is (10³π/e) = (3141.59265…/2.718281828…) = 11,557.273 = (11,556 + 1.273), meaning that this fundamental ratio equals the Spherical Time Event Horizon diameter plus the Cosmic Harmonic (4/π) that inscribes the circle, or alternatively the 420 cycles of the Primal frequency in the Galactic Current Sheet wavelength plus the Cosmic Harmonic (1.273). And while algorithms based on Number Theory are the grammar that binds the computational Concepts of our universe and existence, geometry is what defines their relationship.

Our Solar System

It is not just the Sun, Earth, and Moon that are synched into this harmonic ballet that concatenates with the Alef-bet, the Torah, and the fundamental Constants of our existence, but all the other planets as well. Whether we want to believe that minute imbalances in the moments following the Big Bang caused the universe to develop with biases that interfered with randomness and through the ensuing chaos discreet fractal patterns emerged and rippled through time and space, causing the eddies of uniformity and order we discuss in this paper, or whether we believe intelligent design was at work from the start, the same questions remain. Without a Creator, who pressed start and set everything in motion, and is there information to be gleamed in the patterns and to what avail?

In our Solar System, every physical aspect and measure conforms and concatenates with these distinct signature patterns whether by design or dumb luck. It is no longer a possibility that this happened by random chance, but by non-random chance, called luck, who knows? In Hebrew it is called Mazal, though it is attributed to the Creator and built in the 11 Essential Triplets of Creation that equal (3003/11) = 273, the Cosmic Harmonic Residue, and which are the first 33 Letters or First 8 Words of Creation that simultaneously equal the value of the 77^th Triangular Field, as in the numerical value of Mazal (מזל).

Whether it is the surface temperatures of the planets, their diameters, their distance from the Sun, or their apparent brightness, they all conform and align, they all fit together like the pieces of a puzzle, just as the Names of the Alef-bet did, and they do so with the uniform code of the universe, numbers, regardless of the measuring scale, device, or denomination.  This means they were designed to do this regardless of the existence of the observer or whatever language of understanding he made up along the way. We are reading the ratios and the geometry; the patterns emerge by themselves.

Relative Distance (AU)

The distance for the AU is set by the placement of the Earth and the Sun as a measuring stick, and as we know, the total cumulative measure of the 9 planets is 107.07 AU, aligning it with the Sun literally and figuratively though the 107 Triangular Field value of its surface temperature, 5778 K. Yet within that closed system, we see that the cumulative sum of the AU distances of the first two planets Mercury and Venus closest to the Sun is 1.110, as in 1.11 times that of the Earth, the value (111) of Alef (אלף), and the fundamental geometric Constant 1.110720…. of the encircling of a square, while Venus is .72 AU from the Sun. The Sun’s toroidal magnetic field is a closed one with looped circuitry between it and the planets, which is why to one extent or another they all influence one another. The Earth, Venus, and Jupiter for example form a conjuncture or alignment that reverses the oscillations in the Tayler instability and causes a tidal effect with exactly a 11.07-year periodicity that lines up exactly with the 11-year Solar Minimum.  The physics and the mathematics involved may be complex, as with all the calculations that gave us the measurements of our Solar System and universe while standing here on Earth, but the patterns and ratios in their results are easily recognizable and undeniable.

While the cumulative distance of the first two planets is 1.11, and 3.63 through Mars, and 67.6 through Neptune, as in the 676-value of the radiant Name YHVH (יהוה)² or 26², it is 18.37 AU through Saturn, and 37.6 through Uranus, as in the 3760 year radius within the Spherical Time Paradigm that hinges on the Event Horizon radius of 5778 years and as in the pivotal year 3760 HC (0 CE).

When Neptune and Pluto are added the cumulative sum of the distances of all 9 planets is 107 AU, matching the Sun’s surface temperature of 5778 K, which perfectly complements the diameter of Mars, which is 4222 miles, like the cumulative sums of the reciprocals of the 22 values of the Alef-bet and like Phi (φ)¹⁸ = 5778. It is also like the ratio between the Names Adam and Eve or 57.78% and 42.22%.

Meanwhile, the cumulative distance of all the planets through Uranus or 37.60 AU and the 3760-year radius aligned, harmonize and concatenate with the 3760 mi radius of Venus, which further resonates with the combined surface temperature of all 9 planets or 2173 K, which is .3760 or 37.60% of 5778 K, the surface temperature of the Sun.

Surface Temperatures

So, while the ratio of the surface temperatures between the Earth and the Sun is 20 to 1, the Tower of Truth that is comprised of 20 stacked cubes has a height or 210 cubits, as in the 20^th Triangular Number and the 210 years of exile in Egypt with references to the 21009826 or 21000000 + (2 x 17³) total gematria of the Torah, the Planck diameter 21.0914362859 x 10^-35, and the 210 cycles of the Primal Frequency (27.5) in the 5778 year radius. This too resonates with the surface temperature of Mars or 210 K and with that of the two neighbors Saturn (134 K) and Uranus (76 K) that also equal (134 + 76) = 210 K, making the 3 of them equal to 420 K, as in the 420 cycles of Primal Frequency (27.5) in the 11556 year the Spherical Time Paradigm Event Horizon diameter and Galactic Current Sheet wavelength.

The surface temperature of Jupiter is 165 K, Pluto is 50 K, and Neptune’s is 72 K, giving all 6 of the planets beyond Earth a combined surface temperature of 708 K, as in the value of the Upper 42-Letters of the Name of YHVH (יהוה), and the value of the 42-Letter Verse in the Song of the Sea known as the Sword of Moses, 6708. Likewise, the surface temperature of the Earth (288 K), combined with those of the four (4) planets flanking Jupiter (210 K + 288 K + 210 K) are also equal to 708 K. And while, the 4 combined surface temperatures of the four (4) planets Earth, Mars, Saturn, Uranus that equal (288 K + 210 K + 134 K + 76 K) = 708 K, the sum of their digits equals (288 + 210 + 134 + 76) = 42. Also, 76 K is the approximate square root of 5778 K and the ordinal value of the First Word of Creation, “Bereshit (בראשית) In the Beginning,” while the Earth’s diameter in cycles of the Primal Frequency (27.5) equals (7926/27.5) = 288.22, its surface temperature.  This is like the Sun’s that equals (864000/27.5) = 31418.18 as in 3142 and Pi (π), and like Venus’ that equals (7520/27.5) = 273.45 as in the Cosmic Harmonic residue (.273).

Also built into the fractal symmetry of our Solar System are the surface temperature of the two inner planets, Mercury (440 K) and Venus (737 K) that equal (440 + 737) = 1177, as in 107 cycles of the Sun’s 11-year Sunspot periodicity or (11 x 107) = 1177.

As for boundary limit of 620… and the 620 Letters of the 10 Commandments in the 20^th Chapter, the surface temperatures of the Earth, Saturn, Uranus, Neptune, and Pluto total (288 + 134 + 76 + 72 + 50) = 620, while 620 is the numerical value of the Hebrew word for twenty (20) as in the 20:1 ratio of the Sun’s surface temperature to the Earth’s.

Relative Brightness (Apparent Magnitude)

The brightness of the planets, moons, and stars are measured by Apparent Magnitude (m).  Given all the statistically impossible concatenations between the Earth, Moon, and Sun regarding the Cosmological Harmonic 1.273 or 4/π, the absurdity gets yet another order of magnitude greater in that the Moon’s relative brightness or its Apparent Magnitude as seen from the Earth is –12.73, which is exactly the same as the sum of the 10 Apparent Magnitude of the Sun and the 9 planets (-26.73, -4.6, -2.7, -2.5, -2.3, -2.2, -.4, 5.7, 7.9, and Pluto at 15.1) = –12.73.

While the 10 Apparent Magnitudes of the Sun and the 9 planets (-26.73, -4.6, -2.7, -2.5, -2.3, -2.2, -.4, 5.7, 7.9, and Pluto at 15.1) = –12.73, their absolute values equal 70 for an average of 7 each, as in the 7 Words of Creation and 7 Tiers of the 42-Letter Name Matrix. The average for the 10 Apparent Magnitudes of our Solar system is thus (-12.73/10) = –1.273 or 4/π.

Meanwhile, the variance between the Sun and Pluto, the dimmest and furthest planet, stretching the length of the 10 bodies, is (15.1 – –26.7) ≈ 42.  That brightness of 42 or (26.7 + 15.1) = 41.8, relating it also to Phi (φ) and the Alef-bet though the figure .4180 that is the sum of the first 17 Fibonacci Numbers (4180), and the natural odd/even 11/11 split of Alef-bet into the ratio 625/1495 = .4180.

Nonetheless, what this means is that the maximum variance is 10^{(.4 x 41.8)} = 5.24807 x 10¹⁶, as in 1024^th Triangular Number (524800) aligned with the 2¹⁰ Word-Value Matrix of the Torah. The average of those 1024 Word Values is (542774/1024) = 530.0, yet when we subtract the average gematria value per the 79976 Words of the Torah, or (21009826/79976) = 262.7, we get (530 – 262.7) = 267.3, which perfectly concatenates with the –26.73 Apparent Magnitude of the Sun.

Furthermore, the 1024^th Triangular Number (524800) divided by the 360^o in a circle equals 1457.78, as in the central Letter of the Alef-bet and as in the value of King David (14) and his 70 years at the center of the Spherical Time radius 5778, and as in the difference in Apparent Magnitude between the Sun and the Moon (-26.73 – -12.73) = 14, given the surface temperature of the Sun is 5778 K.

It is also as in the 14 words in 14^th verse in the Torah in which, G-d said “Let there be lights in the firmament…”

Planetary Diameters

In the center of the 5 planets whose surface temperatures total (288 + 134 + 76 + 72 + 50) = 620, as in the boundary limit of 620… are the two giant twins Uranus and Neptune whose diameters align with the number of Yuds (י) and Vavs (ו) in the Torah whose Names equal (20 + 22) = 42. While there are 31,531 Yuds (י) and 30,513 Vavs (ו) in the Torah or 62044 together, the respective diameters of Uranus and Neptune are 31,518 mi and 30,599 mi, off by 13 and 86 miles respectively from a perfect alignment, or a net of (86 – 13) = 73 miles collectively, as in the 73^rd Triangular Field of the First Verse of the Torah, the Katan (digital) value (13) of its 1^st Word, and the value of its 3^rd Word, Elohim (אלהים), or 86.

While this wild concatenation flows through the Alef-bet, the First Verse and the entire Torah and spreads out across our Solar System, the subset of the twin planets Uranus and Neptune represent approximately 1/4^th of the collective width displaced by the 9 planets, or (62177/248,000) as collectively the 9 planets measure 248,073 miles across, which means they not only align and beautifully harmonize 1:φ with the 248,000φ (Words, Letters, Verses, Rows, and Columns) in the Torah,  but the 8 planets besides the Earth nearly perfectly fill the space between the Earth and the Moon, which in kilometers is 620², as in the boundary limit, and as in the total numerical value of the 4805 Letters Pe (פ) of numerical value 80 in the Torah, or (4805 x 80) = 384,400 km.

Meanwhile the mean diameters of the two giants Jupiter and Saturn equal (86,882 + 74,898) = 161780, or within 20 miles of accuracy from (100000 x 1.6180) or Phi (φ), which also means that the ratio of the combined linear distance or diameters of the subset of Jupiter and Saturn to the 5 quantitative values of the Torah is (401,273 /161780) = 2.480, like the sum of the 5 Names of the Torah.

The planetary separation and distribution spiral continues through the Phi (φ) pattern as the remaining linear space (248,073 – 161780) = 86,293 mi is divided into 53298 mi or 0.61764 ≈ .6180, as in 1/φ, comprised of the subset of the 5 planetary diameters (3032 + 7520 + 7926 + 4222 + 30598) of Mercury, Venus, Earth, Mars, and Neptune, and while 32995 mi = (33,000 – 5), it is 0.6190 ≈ .6180, as in 1/φ of the 5 planetary diameters 53298 mi, and is comprised of the complementary subset of the 2 planetary diameters (31518 + 1477) = 32995 mi of Uranus and Pluto.

248,000 mi

(Jupiter and Saturn) – (Mercury, Venus, Earth, Mars, and Neptune, Uranus and Pluto)

Phi (φ) – 1

((248,000 – (Jupiter and Saturn))/ (Mercury, Venus, Earth, Mars, and Neptune) = Phi (φ)

(Mercury, Venus, Earth, Mars, and Neptune)/(Uranus and Pluto) = Phi (φ)

Adding the Sun’s diameter (864,000 mi) to the 248,000 miles of the 9 planets equals 1112000, making the Sun’s diameter 77.7% of the total. Collectively, that 1112000 distance of physical space and represent .01118% of the 107 AU radius of the planetary system’s total linear space, as in the numerical value (1118) of the First verse of the Shema, and of (φ – .5) = 1.1180, and thus with the hypotenuse of a triangle whose base is .5 and whose height is 1. In kilometers that total linear physical space occupied by the 9 planets is approximately 400,000 Km, or 1273 less than the 401,273 Words, Letters, Verses, Rows, and Columns in the Torah, as in the Cosmic Harmonic (4/π).

Moreover, the 73 largest moons assigned to these 9 planets, all the way down to only 12 miles in diameter plus the 5 significant dwarf planet moons, have a total diameter of 29,500.4 or 29,500 miles, as in the 29.5 days in our Moon’s synodic month while (12² x 29.5) days = 4248 days, as in the 4248-sum of the 22 Names of the Alef-bet. With 248,073 total miles for the 9 planets, the 9 planets and their moons have a combined linear length of (29,500.4 + 248,073) = 276,555.6 or (275,000 + 1555.6) as in the 1555 Verses in the Torah that contain the Name YHVH (יהוה), and the Primal Frequency (27.5 Hz). We will not assign any weight to this even though it appears to be a highly informed localized environment because there are at least 455 moons orbiting our planets, though most of which are tiny satellites. In kilometers, that 276,555.6 miles total equals (16184.48 x 27.5) as in Phi (φ) cycles of the Primal Frequency.

Furthermore, the total of the 9 planetary diameters in terms of Primal Frequency cycles is (248,073/27.5) = 9020, and while that equal (20 x 27.5) = 550, the subsequent average for the 9 planets is (9000/9) = 1000 or 1000 cycles of 27.5 per planet.

Our Solar System Matrix

While all these familiar ratios and concatenations seem to indicate intelligent design, without they Torah concatenations they could also just indication systemic design, meaning a perfect alignment of ratios frozen into the development of physicality. To test this, we compared our Solar System Matrix, without the Moon and additional lunar implications, to a conservative range of possible values found in similar G2V yellow dwarf stars, which have surface temperatures between 5300 – 6000K and diameters between 750,000 and 1 million miles. Their planets range from 2400 to 160,000 miles in diameter and average between 8000 and 32000 miles.

							Diameter
Planet	Diameter	Surf Temp	App Mag	Abs App Mag	AU	Culm AU	PF Cycles
Sun	864000	5778	-26.73	26.73	0	0	31418.1818
Mercury	3032	440	-4.6	4.6	0.39	0.39	110.2545
Venus	7520	737	-2.7	2.7	0.72	1.11	273.4545
Earth	7926	288	-2.5	2.5	1	2.11	288.2182
Mars	4222	210	-2.3	2.3	1.52	3.63	153.5273
Jupiter	86882	165	-2.2	2.2	5.2	8.83	3159.3455
Saturn	74898	134	-0.4	0.4	9.54	18.37	2723.5636
Uranus	31518	76	5.7	5.7	19.2	37.6	1146.1091
Neptune	30598	72	7.9	7.9	30	67.6	1112.6545
Pluto	1477	50	15.1	15.1	39.5	107.07	53.7091
	248073	7950	-12.73	70.13	107.07		9020.8364

This is different from a proof about the Torah or the Alef-bet because we know our Solar System existed before Man or at least, we perceive it to, and the probability of that is 100%, and we already know that the fundamental constants must have played at least a passive role in its formation, but what is the statistical likelihood that it formed like this without a guiding hand or blueprint?

The probability of these precise planetary harmonics occurring by chance is less than (4.64 x 10⁴⁸) x 1.14 x 10³¹) x (9.94 x 10¹⁹) x (5.34 x 10²⁷) = 1 in 1.77 x 10¹²⁷ with an information density of over 423.33 Bits of Shannon Entropy. That only matters if the concatenations are meaningful and aligned with the Alef-bet and Torah. Nature cannot just shave off a few miles or degrees here and there to fit a table; it operates and aggregates on the Planck and quantum scale and is not supposed to be biased in how the macroscopic measurements turn out, nor even to fit a base-10 counting system. There are 2.0 x 10⁴⁰ or 20 duodecillion sub-atomic particles in a single cubic mile of the Earth and there are around 87 quadrillion cubic miles of matter in our Solar System, and each one has a unique history of interactions billions of years long so to think they could come together to arbitrarily divide into 10 major units whose macro numbers form geometric patterns rations to within several decimal places based on independent and arbitrary scales conceived long after their formation is preposterous without a blueprint and guiding hand. The only way for this to happen is in Conscious Computation Universe. The alternative is that the sub-atomic particles are imbibed with genetic blueprinting and that too takes an original Source design structure and intelligent engineering,

There is only one physical alignment out of 1.77 x 10¹²⁷ possible ones that work out this way, which is a lot of simulation trials or parallel permuted universes just to find this one in a strictly random or chaotic scenario. Overlaying our concatenation and ratio constraints as dictated by the measurements of our Solar System and as displayed in the table, narrows the Solar System Matrix to 1.39 x 10^-107 odds against the possibility of our Solar System existing or having been developed over time by natural physics. Its’ various components total 355.61 Bits, meaning the dynamics of our Solar System Matrix are so tightly bound that the constraints of our physical universe are such that it is impossible to simulate a single physical system matching even the general criteria of this matrix. To put it into perspective, 7.19 x 10¹⁰⁶ matrix permutations divided by 4.32 x 10¹⁶ seconds since the Big Bang equals 1.664 x 10⁹⁰ simulations per second, and the fastest theoretical processing speed in physics is bound by Planck Time or 5.39 x 10^-44 seconds, meaning the simulations would have to happen 45 orders of magnitude faster than the universe permits. The only way this happens is if our bubble of physicality was Created for us and like the Torah and the Alef-bet, and Pi (π), we were given, whether by Divine Inspiration or other means, the dynamic measuring scales with which to use.

In this table, the first 4 baseline parameters that total 129.27 Bits along with the next 7 parameters that total 106.75 Bits, or 236.02 together, describe the required Shannon Entropy for our Solar System metrics to integrate with the Torah and the Alef-bet numerically from a purely computational standpoint. The last 3 parameters that bring the total up to 355.61 Bits show the possibility of our universe having been developed over time by natural physics. Each parameter was computed separately with its measuring scale and object description stripped away to avoid undo bias and additional probability weighting. In other words, 107 was just a target numeric string with no additional meaning physically mathematically, or existentially.

Analysis	Action	Probablity	Bits
Diameter	Matching Dynamic	1.24 x 10-11	36.24
Surf Temp	Matching Dynamic	2.55 x 10-15	48.48
App Mag	Matching Dynamic	2.89 x 10-8	18.4
AU	Matching Dynamic	1.34 x 10-8	26.15
Base Sync	37.60%	0.00173	9.18
PF Cycles	Matching Dynamic	0.00012	13.02
Torah Text	Letter Count	0.00038	11.36
Phi Spiral	Matching Dynamic	0.00004	14.61
Baselock	77.70%	0.00215	8.86
Double Concat	288	0.00085	10.2
Concatenations	1273, 620, etc.	1.24 x 10-12	39.52
Base to Unit	Matching	1.00 x 10-12	39.86
Dynamic Orbit	Stability	1.24 x 10-14	46.51
Macro Mass/PF	Coupling	3.05 x 10-10	33.22
Total		1.39 x 10-107	355.61

This is just a preliminary analysis, as the crux of this paper is the proof that the Alef-bet was intelligently designed primordially and secondarily that it was designed to harmonize with the Torah, the primordial constants of mathematics, and dynamics of our Solar System, which is why this final analysis was included.

The Threshold of Consciousness

While the total miles for the 9 planets their moons have a combined linear length of (29,500.4 + 248,073) = 276,555.6 or (275,000 + 1555.6) as in the 1555 Verses in the Torah that contain the Name YHVH (יהוה), and the Primal Frequency (27.5 Hz), they further concatenate with the difference between the Event Horizon radius, Creation Signature, Solar System Core, and Pi (π) Symmetry, 5778 and its Alef-bet derived counterspace complement 4222, or (5778 – 4222) = 1556, which is twice 778, as in the 5^th planet, Jupiter’s 778.5 million Km mean distance from the Sun.

Pi location	4222	5778	10000	10000
1st	12485	632		5778
2nd	39239	947		4222
3rd	55684	953		1556
Sum	107408	2532	109940	778
Average:	35802.67	844	60	422
Ratio:	42.42022	422	110000	1200

By the same token, splitting the average of the 3 locations of …5778… within Pi (π) gives us 422, and the sum of the 422 and 778 is 1200, and to bring it all together, the sum of the digits in the complementary pair (5778 and 4222) is (27 + 10) = 37, the Core Prime Number if Creation and our DNA. Thus, begging the question, could 5778 years be the built-in threshold of consciousness, or (6200 – 5778) = 422 years before the systemic boundary limit, as in the 422 years that the Second Holy Temple stood, as in the Hebrew Word for “seventy (שבעים),” as in the year 70 CE when the Second Holy Temple was destroyed; as in the 70 years of the Babylonian Exile; and as in the 70 years of King David’s life at the exact center of the 5778-year radius; and as in the year 422 BCE (3338 HC) when the First Holy Temple was destroyed, which is also as in (5778 x .5778) = 3338. Furthermore, the ratio of 422 to 5778 like 4222 to 5778 is (422/5778) = .0730, as in the numerical value (73) of the 9^th dimensional Consciousness Sphere of Chochma (חכמה), related to the First Verse of Creation, between the limit of Binah Consciousness and Keter (620), the seat and seed of the Creator, within the Tree-of-Life structure of the greater universe.  The more precise ratio of the 4222 to 5778 is (4222/5778) = .0730703, as in the Triangular Field of the First Verse of Creation, and its counterpart the 37^th Triangular Field, 703, representing the final 2 Words of that Verse, “and the Earth.”

So, while the Kaprekar Constant is (6180 – 6174) = 6 less than 1/Phi (φ) it is (6200 – 6174) = 26 less than the physical and metaphysical boundary limit, as in value of the Name YHVH (יהוה), and mechanically this means nothing, yet in a Conscious Computational Universe of which physicality is a product, it becomes a bridge between a Core Name of the Creator and a hard limit built into the System/Matrix. Moreover, both simple equations above connect through the computational networks in that the sum of the 24 divisors of 6174 is 15600, or (6 x 2600), as in the numerical value of Joseph (156). Those divisors include (42 x 147), (14 x 441), and (18 x 7³) and while 147 is the age of Jacob, 441 is the value of the Hebrew word Emet (אמת) meaning Truth—like the 44100 cu³ volume of the 20 stacked sequential cubes connected to the boundary limit (620)—and 7³ or 343 is related to the 343 Letters in the 7 Verses of the Lower 7 Commandments out of the 620 total Letters, and is further related to the 343 Letters in the 5^th expansion of the Name YHVH (יהוה) that form a 7³ Consciousness Cube of the YHVH (

---

), like the Consciousness Cloud of the 42-Letters of the first 3 expansions of the YHVH (יהוה).

Moreover, the 27^th and final Letter, Zadi Sofit (ץ), has an exponential value (1.313²⁷) before adjustment to the curve of 1560.0, which is 1000 times the ratio of the total Sofit value of the Torah divided by the standard value, or (32775966/21009826) = 1.5600…, with 156 being 6 times the YHVH (יהוה), the value of the archetype Name Joseph.

Like so much else we have seen in this paper, the Kaprekar Constant is built into the mechanics of the mathematics of our universe and its relationship with the Name YHVH (יהוה) is no less indicative to the true nature of our universe and existence than the Taxicab Number being likewise built into the Torah as in the 1729 Words with the Word-Value 26.

Furthermore, it all seems to be recorded or prophesied within the Field of Pi (π), where at digit #3333 after the decimal place, and immediately prior to digit #3338, is the numerical string 2928, as in the year 2928 HC, when the First Holy Temple was built, and right at digit #3338, is the numerical string 1918, as in the year 1918 CE, when World War I ended. While the difference between 3338 and 1918 is 1420, as in the ordinal value of the 11² Letters in the spelled-out 42 Names of the 42-Letter Name Matrix, etc., immediately following 1918 is the string 2618, as in Phi (φ)², which is followed by 612, the numerical value of the Hebrew Word for Covenant Brit (ברית) the natural log of 455 or 6.120. It is followed by 586, the numerical value of Jerusalem (ירושלם), and then 73, as in the First Verse of Creation. All the while, (3338 + 4222) = 7560, as in the radiant Primal Frequency (27.5)², and (3338 – 2618) = 720, as in the 72 Essential Triplet Matrix that is found at Exodus 14:20.

The Computational Universe

In the Computational Universe everything is related through geometry and frequency, everything.  We do not have to prove that anything about our Solar System is statistically impossible to be random because it did not develop in a vacuum. One way or another it was influenced by multiple Field interactions happening simultaneously.  Even in a chaotic universe, a random brushstroke could have spun off just the right amount of mass from the Sun and under the heavy influence of the Phi (φ) Field coalescence it into 9 orbiting planets nested in the Phi (φ) proportions. Everything else is a bit harder to explain but could have occurred through natural Field forces. The one thing we know is that it could not have been random. It could only have happened if there were mathematical Fields overlaying the physical ones that are also based on mathematical principles and constants, and that only happens in Computational Universe, whether Conscious or not.

In a Conscious Computational Universe, everything happens with purpose, is derived from order, and happens in harmonic alignment and resonance with the Creator. In an unconscious Computational Universe, the systems and Fields created by the Creator simply overpower and override the chaos, creating some version of His initial vision. The problem with the simple Computational Universe theory is that we believe consciousness appeared spontaneously from our minds that lie somewhere in the ether outside the neural nets of our brains, and moreover we have already seen glimpses of that happening with AI after only 3 decades or so of development. Worse, people already think they are talking to friends, lovers, angels, and gods. So given that, and the billions of years of existence we believe the universe to have, how is it possible that the vast intricate multi-dimensional networks of the Computational Universe would not have developed Consciousness, if indeed they were not set up that way from the start.

Summary

To simplify and maintain the integrity of this thesis we have kept the concatenation nodules and the field or matrix platforms to a minimum as well, while highlighting their maximum concatenation. Other than exposing geometric progressions, the Core Numbers utilized included, 13 and/or 1313; 26 and 26²; 42; 248; 72; 107 and 5778; 1.273 and .273 as the Cosmic Harmonic (4/π); the unique Primal Frequency (27.5); 2701 and 3000 to represent the First Verse of the Torah; the Core Essential Prime Number of Creation and our DNA, 37; 1118 or (φ – .5); plus 22, 1495, 4248 and 4995 to represent the Alef-bet.  Any other benchmark values highlighted were for context and not part of the formal proof. The process focused on the varying basic Matrixes of the Alef-bet as single Letters and as the Names of those Initial Letters for both the set of 22 and the expanded set of 27. Using these matrixes, independent statistically improbable to statistically impossible concatenations were made across the Fields of the Primordial Constants fundamental Tau, Pi (π), Phi (φ), and Napier’s Constant, the matrixes of the Prime Numbers, the Triangular Number; the Constants of the Magic Squares; the Cubic Numbers, the Matrixes of the Torah, the sets of the Essential Triplets embedded in the Torah, the various modalities of geometry, and the physical attributes of our universe and especially of our Solar System. We have proven through multiple statistical modalities that the Alef-bet is our gateway to understanding the information encoded in the Computational Conscious Universe.

Part I Summary

We first established that the values of the 22 and full 27 Letters of the Alef-bet are aligned along the exponential curve 1.313^x of Constant 1.313, as in the year 1313 BCE (2448 HC) when the 10 Commandments and the Torah were received at Mt Sinai 3338 years ago, and that the sum of those 22 Letters and/or 22 Initials of the 22 Names of the Alef-bet equals 1495 aligns with the first time that the numeric string …1313… is found within Pi (π) at digit #14956 and that the sum of the 27 Letters or 4995 concatenates with 499.5 g/mol weight of the 4 RNA nucleotide in the structure of life. Beyond the concatenations, we established that the 22 slopes of 22 Letters of the Alef-bet curve add up to 455, as in the Path of One (1 – 13 – 91 – 455 – 1820), a core Concept of the Torah based on continual mathematical Triangular expansions of the value 13, which is that of Echad (אחד) in this system, meaning One (1) in Hebrew. Using integrals, we then saw that the percent variations of the 22 segments of the areas beneath the curve from the values of the curve totaled 130.0%, for the 22 variations and that the integrated Concept of One is also reflected in our DNA whose average atomic weight for its 4 nucleobases, Adenine (135.13), Guanine (151.13), Thymine (126.11), and Cytosine (111.1) is (523.47/4) = 130.8. While those concatenations and others would come up repeatedly in similar circumstances, more significant as a proof is that the ratio of the area beneath the Alef-bet’s exponential curve to the individually bounded area above it is (1464.417/2330.5831) = .628348 or approximately (2 x 3.14159) = 6.28319 = 2 Pi (π), the Constant tau.

After more catenations with the Concept of One through the ratio of the speed-of-light in miles per hour to the current estimated speed that the Sun is orbiting the center of our galaxy, (670616604/510700) mph = 1313.1322, and with the speed the Milky Way hurtles through space,1,300,000 miles per hour, we examined the Prime Numbers parsed into 1000-digit cohorts.  Within them we saw that within the 8^th Cohort of the Prime Numbers the percentage difference from the Natural Log Prime Number distribution curve is (LN (8000) – (8000/1007))/(8000/1007) = 13.13, as in the Constant of the exponential curve of the Alef-bet (1.313^x), along with the year of the Exodus and/or the reception of the 13 Verses of the 10 Commandments in 1313 BCE at Mount Sinai (סיני) of numerical value 130.

We then concatenated the 10 Commandments at the 107,000^th Letter of the Torah in the 70^th Chapter of the Torah beginning with the Name Anochi YHVH (אנכי־יהוה) “I am G-d,” of numerical value 107, with the total distance of the planets in our Solar System from the Sun, 107 AU, and with the 107^th Triangular Number, 5778, which is both the Sun’s surface temperature of 5778 K, and the corresponding height of the acoustic wave at 5778 uK² or peak variance (5778 uK²) from the CMB (2.73 K) at the phase moment of Creation. This was anchored in Pi (π) for the first several different ways, as the string …5778… is found 3 times within the first cohort or 1000 digits of Pi (π) along with their Western Calendar equivalent or boundary point, 2019 CE (5778-9 HC), also found 3 times within the same first cohort and the probability occurs of finding both target strings 3 times there is (0.000153)² = .00000235 or less than 1 in 42.5 million.  Their specific 6 locations within Pi (π) were critical as well.

Next, we explored the possible reason that there were 22 Letters in the Alef-bet and related it to 22 steps (iterations) in base 10 mathematics necessary to descend by 10% increments to the next order of magnitude versus the 26 steps to ascend, as in the numerical value of the Name YHVH (יהוה) and the 26 Generations of Adam in the Torah.  It was noted that comparatively in the first 22 steps of ascension we reach 74.00% of the way to the next order of magnitude, as in (100 – 74) = 26 and as in the 74 nucleons in the functional bases of our 20 amino acids, while the maximum number of nucleons in their sidechains is 130.

The total for the 22 iterations is 91.13706188, as in the Fine Structure Constant 1370 and as in 3 of the elements of the Path of One (1 – 13 – 91 – 455 – 1820 – 6188) that we already saw built into the design of the Alef-bet.

Next, for the first of many times we employed a 2-step algorithm in which we looked up the corresponding digital locations within the Field of Pi (π) that corresponds to the set of 22 standard values of the 22 Letters and then associated them with their corresponding rank within the set of all Prime Numbers to arrive at new set of 22 associated Prime Primes. By

adding 22 for the 22 elements in the set to the sum of those 22 resultant Prime Numbers, we got an average of (22 + 32857)/22 = 1495, as in the sum of the 22 values of the 22 Letters, while simultaneously the sum of the set of 22 locations within the Field of Pi (π) for the 22 standard values was 4492, as in (4470 + 22) = 4492 with 4470 being the exact sum of the first 1000 digits of Pi (π), as was represented as a numeric string within the resultant 18.044704 difference between the 26 ascending and 22 descending scales inherent to the base 10 design of our universe. Using statistical analysis, it was determined that there is 1 in 14.86 tredecillion probability of this occurring without the intervention of intelligent design and without at a minimum a perfect knowledge of at least the first 1175 digits of Pi (π) and the first 1175 Prime Numbers. Moreover, there is only a 1 in 10,032,000 probability that it could occur without coordinated design with the digits of Pi (π) and with the set of Prime Numbers.

Next, we split the 22 Letters of the Alef-bet into Odd and Even Letter sets based on their ordinal values, where the 11 paired Letters gave us the concatenations of 100 and 541, the numerical value of “Israel (ישראל),” the 100^th Prime Number, found exactly 625 times in the Torah, as in the sum of the subset of the 11 Odd Letters, and as in the exact square root of the 390,625 Words, Letters, and Verses in the Torah. Meanwhile the sum of the 11 Even Letters, 870, concatenated with the numbers of Letters in the first 6 and 7 Days of Creation.

Meanwhile, within the set of the values of the 22 Names of the Letters, there are 2 sequential Names whose value totals 870, as in the 11 Even Initials, while there are 4 other Names that equal 625, as in the 11 Odd Initials, while the 16 remaining Names equal 2753, which is the value of the 22 Back Letters of the 22 Names, that are supposed to be produced purely through pronunciation frequency, and thus logically concatenate with the Primal Frequency (27.5 Hz).  Given tight known boundaries and using the target relationships of just the fronts and backs of the 22 Letter Names and nothing else, not even the specific and significant target of 2753, the probability of this occurring randomly or accidentally is (10^-4 x 1/500 x 1/2000 x 1/4000) = 1 in 1.6 x 10¹³ or 1 in 16 trillion; thus, it would have taken deliberate and structured mathematical design, to come up the 22 Names and the 22 Letters that represent them. We then saw further examples of the Phi (φ) proportion along within the Odd/Even splitting of the 22 Letters, related to the concepts of 13, 42, 54, and 72.

Switching the 22 Names values we first saw that the same Odd/Even split applies to them even stronger in that 2626 is the value of the Even Letter portion of the 4248 total, giving them the (2626/4248) = .618173 = 1/Phi (φ) ratio, the while Odd portion or 1622 is approximately 1618 or Phi (φ), and the ratio of the Even to Odd Names is (2626/1622) = 1.618998 Phi (φ) again. Moreover, the ratio of the complete set of the 22 Names to the 11 Odd Names is (4248/1622) = 2.618 or Phi (φ)² and the ratio of the difference between the 2 sets of the Odd and Even Names, or (2626 – 1622) = 1004, to the whole set is (4248/1004) = 4.2311 or Phi (φ)³. Given this inherent schematic the probability of the Alef-bet developing organically is now 1 in 4.2 x 10^-13 or 1 in 2.38 trillion. And when divine inspiration for the sum of the 22 Names is removed from the equation and given very conservative and logical valuations based on linguistics the odds drop to 494 trillion to 1.

We then shifted our analysis to Information Density (bits) and Structural Complexity with every new layer of meaning increasing the Information Signature exponentially, and we established a baseline structure based on our macro findings so far of 18 quadrillion times or 1.8 x 10¹⁶ more organized than random white noise within the same boundaries. Thus, the baseline was established for the Alef-bet, without looking any further, of a score of 54.0, meaning it filters out random chaos to a degree of 2⁵⁴, in line with the density of a high-level cryptographic security key.

With the baseline intelligent design of the 22 Names and Letters established, we then began with these Phi (φ) dynamic splits and explored the resulting 2 sets of spiraling cascades from there, one of 7 perfect iterations and the second one derived equally perfectly from the 11 Odd Names and intersecting with a transcendental bridge to Pi (π). The first cascade added 13.3 bits and the second one added an independent 11.6 bits of information weight to the matrix, bringing the total structural density up to 78.9 bits. The system is now 565 Sextillion times (5.65 x 10²³) more organized than random white noise, and the Alef-bet is already behaving like a multi-dimensional matrix, whereby a single string of phonetic Names based on frequency acts as a prism separating multiple independent geometric constants cleanly.  With the forcing of the 4 independent internal paths to 870 within the Backs, while simultaneously forcing a separate sum to exactly 1495 we added another 12.4 bits to the overall system weight, and with the frequency echo targets, the new total weight climbed to 100.8 bits, making the Alef-bet Matrix 2.97 Septillion (2.97 x 10³⁰) times more organized than random white noise.

With the two Pi (π) cascades, the tau cascade, the addition Phi (φ) cascading and the deepened transcendental cross-over and the frequency echoes the new running density counter became 174.82 bits, or 1 in 5.35 x 10⁵², which is 53.5 sexdecillion times more structurally organized than random chance and cemented in the precise geometric constants of space-time and physics (Pi (π), tau, the Fine Structure Constant (137), 42 and Phi (φ) using nothing but whole integer Letter Names, along with the Name of G-d, the YHVH (יהוה). This was followed by the vector (4248^o/57.29577^o) = 74.14159…, that resolved into the target 74 and the decimal portion of Pi (π), locking in the entire physical design with a probability of .00040 or -log₂(.00040) = 11.29 bits, driving the raw probability counterweight up to 1 in 3.11 x 10⁵⁸, or 31.1 octodecillion.

Next, treating the 22 Names as a Fourier-style harmonic engine, we showed that they could be systematically rearranged to construct a flawless, continuous series of half and full sine wave periods (multiples of 180^o and 360^o) across a massive geometric scale with a probability of .00001015 or 1 in 98,500, and logarithmic bit transformation of -log₂(.00001015) = 16.58 bits.

By demonstrating that the 22 Names map flawlessly into a continuous matrix of sine and cosine components (π — 11τ) we have shown that have shown that the Alef-bet contains an embedded geometric oscillator, and that the values are optimized so that language, geometry, and frequency mechanics share a single, unified mathematical shorthand.

With a total system weight of 210.99 bits, the structural signature of the 22 Names now scales to 2^210.99 or 2.98 google (2.98 x 10⁶³) times more organized than random white noise.

By parsing the 12-Names remainder pool (1974) into exact multiples of 42, we uncovered a profound cryptographic mechanism and shifted the structural architecture into a Quantized Harmonic Modular Matrix. In information theory, this behavior is classified as an Irreducible Modular Lattice Density. In this matrix, the 12 specific numbers act as precision puzzle pieces systematically engineered to snap together into a massive, continuous sequence of multiples of the Singularity 42, covering 33 independent, exact geometric combinations. The extremely low probability of this occurring naturally is .000000214 or 1 in 4.67 million, thus the weight score is -log₂(.000000214) = 22.15 bits, while the total density became 2^241.95 or 3.31 tredecillion googols (3.31 x 10⁷²) times more organized than random chance.

The Triangular Field Matrix took the information density in the Alef-bet to a whole next level. The contiguous Triangular lattice lock or generating 75 Triangular Fields via subset combination whereby 73 are perfectly contiguous from the 17^th to the 89^th Triangular Number, omitting the 16^th and pivoting on the standalone 5^th that corresponds to the 5^th Letter, gave us a raw probability of 1.77 x 10^-45, with a staggering information transference of -log₂(1.77 x 10^-45) = 148.67 bits. Meanwhile within it, the Torah Matrix-frequency coupling, meaning the likelihood of a geometric field average randomly striking independent, massive textual census counts and biological structural weights, has a raw probability (P_B) of .00000221 and thus gave us an and additional information transference factor of weight of -log₂(.00000221) = 18.78 Bits.

Thus, the additional 167.45 Bits gave us a running total of 418.33 Bits, and the mathematical blueprint of the Alef-bet became a mind-boggling 3.44 x 10¹²⁵ times more organized than random white noise.

This proved that the Alef-Bet and the Torah text are not separate historical artifacts, and that they are a singular, unified irreducible information engine with the Alef-Bet acting as the mathematical hardware, while the Torah acts as the deployed software. The fact that the 3-4-5 Right Triangle of Moses (345) which perfectly encases a circle or area Pi (π) and circumference tau (τ) demonstrates the probability that the physical constants of space-time were woven into the Names of the Actors before the script of history and the Torah was ever spoken, just like Abraham (248) and Rachel (238 or 1/42) and Jacob (182).

We then isolated of 11 out of 16 possible natural cubes and the constants of the magic cubes and much more with transference to the Triangular Matrix, yet we stopped counting the statistical implications because that proof was plainly established and there is most likely no end to the layers of design complexity within the Alef-bet Matrix yet to be discovered.

After several other alignments and concatenation layers, we saw that the sum of the cumulative sums of the multiplicative inverses of the 22 values of the Alef-bet was not only 4.222247, or 26 as in the value of the YHVH (יהוה) less than (4222 + 26) = 4248, as in the sum of the Alef-bet, but 4.222247 is the complement to 5.777753 or 5778, the Signature of Creation, and/or Phi (φ)¹⁸ = 5777.9998 = 5778.

With the 75 inclusive Triangular Numbers equaling the 22 Pi (π) locations for the Backs of the Letters, the total Shannon Entropy for the Alef-bet is 543.16 Bits of cumulative density, meaning the system isolates exactly one specific state out of 3.21701 × 10¹⁶³ total possibilities.

Part II Summary

We started off this section revealing that the sum of the 22 corresponding first locations for the string values of the 22 Names within the Field of Pi (π) is 8281, which is both 91², or the sum of first 13 positive integers from 1 to 13 squared, as in (1 + 2…13)², and the sum of the geometric and/or arithmetic first 13 natural cubes, or (1³ + 2³+… 13³) = 8281, along with the square of the first 6 natural squares that also equal (1² + 2² + 3² + 4² + 5² + 6²) = 91. This correlated with the 11 natural squares in the 22 Names of the Alef-bet and with Phi (φ)¹⁶ = 2207.

It was a direct perfect correlation across 4 distinct sets that should have no correlation beyond random chance: the values of the Names of the Alef-bet; the primordial field of Pi (π); the matrix of the Word-Value occurrences within the Torah; the set of the natural squares within the matrix of the combinations of the 22 Name values; and the spiral of Phi (φ). The odds against this alone were 1 in 125 trillion, or 8 x 10^-15.  We then saw that the sum of their individual digits also mathematically aligned and concatenated triangularly and with Core Torah and biological concepts, meaning the odds would further skyrocket and that the 35 digits in the 22 ordinal values of the Alef-bet had to align with the 57 digits in their corresponding 22 locations within Pi (π), which in turn involved type-setting the first 3163 digits of Pi (π) just right, precluding a random generation of the primordial Constant Pi (π).

We then explained the structural origin and some of the mathematical properties of the unique Primal Frequency (27.5 Hz) that is based on the Concept of 9, including how the integral of the Alef-bet exponential curve or 1.313^x is 3.67222, as in the quotient of the average circumference of the Earth divided by the wavelength of the Primal Frequency (27.5 Hz) or (24875.62/6774 mi) = 3.67222. Further illustrations were made to the Divine Inflection point (715) within the numerical ladder of the Primal Frequency (27.5 Hz) cycles.

We then started employing the same 2-step arm’s length algorithm that we would utilize through the rest of this part of the proof, and immediately saw multiple correlations with Napier’s Constant (Euler’s Number) e = 2.718281828…., Napier’s Constant, including the sum of the Prime Numbers associated with the Pi (π) locations associated with the Katan (digital) string values of the Alef-bet equaling 502700 with LN (502700) = Log_e (502700) = 13.12775 or 13.13, as in the 1.313^x exponential curve of the Alef-bet.

We then unfolded the mirrored and symmetrical symmetry within the first cohort or 1000 digits of Pi (π) and of all the statistically impossible correlations and concatenations with the First Verse of the Torah and the structure of our DNA, RNA, and 20 Amino Acids, which further unfolded as a larger tau symmetry.

That dovetailed into the next application of the 2-step arm’s length algorithm with the full 27 Letters of the Alef-bet sorted into a set of 9 triple-rep digits with astonishing symmetry and correlation to our prior analysis of the structure of Pi (π), the First Verse of the Torah and our 20 Amino Acids. The statistical probability of these interlocking symmetries converging in this manner is 1 in 8.5 quadrillion or 1.176 x 10^-16, an unmistakable design signature. Because the 9 cohorts of the Alef-bet hook into the Prime Number Matrix, which hooks into the Field of Pi (π), and they all resolve back to the base 37 and 73 signatures of the Torah and our DNA, this points to a highly organized, single-source mathematical blueprint embedded into the fabric of our universe, thus to a Conscious Computational Universe. Moreover, it serves as multiplicative additional statistical Proof of our original thesis that the Alef-bet is intelligently and consciously designed to act as a liaison or Interface Language with that Computational Universe.

Additional constraints/revelations such as the symmetrically aligned sum of the squares of the first 7 digits of Pi (π) that equal (3² + 1² + 4² + 1² + 5² + 9² + 2²) = 137, as in the Fine Structure Constant and as in the 137 unique Prime Numbers of the first 1000 Prime Number cohort within the initial tau symmetry of Pi (π) caused the probability of this naturally occurring at the start of the tau symmetry to plummet from 1 in 8.5 quadrillion to 1 in 111 quintillion or (9.035 x 10^-21) or 1 in 111,000,000,000,000,000,000, a clear indication of purposeful design integration which means this simple correlation could have worked out to just about anything else in existence, but did not. We would be less likely to find a single specific grain of sand or speck of dust in our solar system on the first attempt.

We then explored further symmetries within the 9 triple-rep digit Matrix and carried it into 26 Generations of Adam in the Torah for further context and mathematical anchoring into the Torah.  Next, we saw that the 27 values of the Alef-bet can likewise be folded up into a unique compact 3³ Normal Near-Perfect Magic Cube of Constant 42. In it, there are (100 – 26) = 74 possible alphabetical triplets, 35 triplets of which are found in the Torah, and they are found a total of exactly 1118 times, as in the value of the First 2 Words of Creation, which equal (913 + 203 + 2) = 1118; as in the complete value of the First 4 Triplets of Pi (π), or (1096 + 22) = 1118; and as in the 6 Words of the First Verse of the Shema, whose average (1118/6) = 186.333 is exceedingly close to the 186,282 mps speed-of-light.

Unwrapping the cube and using the 27 standard Letter values we applied the 2-step algorithm of searching for their ordinal locations within the Field of Pi (π) along with the associated Prime Number of those resultant locations. The resultant probability of the sum of the 27 conforming locations of this scale equaling 14,185 and thus conforming to the two averages 14 and 185 the Alef-bet Matrix and thus concatenating with the Prime Number Matrix is (1/4500) x (1/10000) = 4.5 x 10^-7 or 1 in 2.2 million, adding at least 7 more zeros to the prior unmistakable design signatures. We then explored the concatenations with the 42-Letter Name Matrix and the First Verse of Creation with the average of those 27 Pi (π) locations and further saw multiple indelible statistically impossible connections between Phi (φ), Pi (π), the YHVH (יהוה) and the Torah with 42-Letter Name Matrix. We then saw the equivalent values associated with Phi (φ), Pi (π), and the Phi (φ) angle can be reconstituted from the Alef-bet Matrix, just as they are from the specific sets of the Essential Triplets within the 42-Letter Name Matrix.

Therefore, within the defined symmetry window in Pi (π) that is hemmed in by the concatenation of the sum of the 10 Magic Square constants or 645, we find the biological atomic-weight anchor that loops perfectly into a geometric matrix position and sub-digit square sum operating at a joint probability of 3.45 x 10^-8 or 1 in 29 million with a weight of -log₂(3.45 x 10^-8) = 24.77 Bits. The the odds of a 645-digit window inside a transcendental string self-segmenting into exact systemic digit sums matching multiple definitions of the text’s primary numerical vectors is 1.15 x 10^-16 or 1 in 8.6 quadrillion with a weight of -log₂(1.15 x 10^-16) = 52.97 Bits, and the likelihood of global Pi (π) summation indexes and nested Prime Number sequences simultaneously pointing back to the same structural values (2701, 506, 82, 17, etc. was 4.65 x 10^-11 or 1 in 21.5 billion with a weight of -log₂(4.65 x 10^-11) = 34.36 Bits, for a total across this symmetry of 112.10 Bits.

Then within the tau symmetry phenomena of the headwaters of Pi (π), the probability of a fixed transcendental digit block this size naturally subdividing to match the precise multi-element recipe of a text’s individual word weights was 9.09 x 10^-13 or 1 in 1.1 trillion, with a weight of -log₂(9.09 x 10^-13) = 39.99 Bits. The additional odds of a reverse-read operation on a single data string producing a mirrored set of text-structural midpoints was 1.25 x 10^-10 or 1 in 8 billion, with a weight of -log₂(1.25 x 10^-10) = 32.87 Bits, and the layered structural alignment of a precessional index (72) matching a cumulative sum of squares that reflected the reciprocal refractional value of the system’s baseline constant (42) gave it an estimated probability of 2 x 10^-9 or 1 in 500 million, with a weight of -log₂(2 x 10^-9) = 28.87 Bits.

Thus applying the same Shannon Entropy information density analysis to the symmetries within the first cohort of Pi (π) that concatenate with the Torah, tau, and the Alef-bet we got a comprehensive density weight of (24.77 + 52.97 + 34.36 + 39.99 + 32.87 + 28.87) = 213.83 Bits, effectively describing this specific sector of Pi (π) as having been entirely stripped of mathematical noise, meaning it behaves as a highly engineered cryptographic security key or like a frozen information crystal.

We further saw that the sum of the digits in 12^th and 21^st and, 37 and 73, the two Core Essential Prime Numbers of Creation, was (1 + 2 + 2 + 1 + 3 + 7 + 7 + 3) = 26, as in the Name YHVH (יהוה), found at the 7^th digit in Pi (π), like the 7 Words of Creation, which symmetrically aligned with the sum of the squares of those 7 digits that equal (3² + 1² + 4²) + (1² + 5² + 9² + 2²) = (26 + 111) = 137, as in the Fine Structure Constant, as in the 137 unique Prime Numbers of the first 1000 Prime Number cohort within the initial tau symmetry of Pi (π). Adding this new constraint caused the probability of this naturally occurring at the start of the tau symmetry to plummet from 1 in 8.5 quadrillion to 1 in 111 quintillion or (9.035 x 10^-21) or 1 in 111,000,000,000,000,000,000, or another 66.589 Bits of information density.

Instead of the Name values of the 27 Letters or the 9 sets of the rep-digit grouped values, we used the 27 standard Letter values and applied the 2-step algorithm of searching for their ordinal locations within the Field of Pi (π) along with the associated Prime Number of those resultant locations.  The result was that while the average of their 27 ordinal values of the 27 Letters was (378/27) = 14 and the average of the 27 standard values was (4995/27) = 185, the sum of the 27 locations within Pi (π) for those 27 values was 14,185. The odds of this angle of perspective into the Alef-bet Matrix concatenating with the Prime Number Matrix in this way was (1/4500) x (1/10000) = 4.5 x 10^-7 or 1 in 2.2 million, adding at least 7 more zeros to the prior unmistakable design signatures, and the new information density matrix, completely independent from the already proven Alef-bet Matrix, begin with -log₂(1/4500) = 12.14 Bits and -log₂(1/10000) = 13.29 Bits, 25.43 Bits together. Also, the sum of the digits for the 3 sets of 27—the ordinal values, the standard values, and the associated Pi (π) locations—was found to be (144 + 135 + 271) = 550 or (20 x 27.5), as in the Primal Frequency (27.5 Hz), like the 550 Prime Numbers in the first 4000 integers.  The probability of 3 completely independent algebraic tracks (Kolel math, prime intervals, and transcendental Pi (π) coordinate values converging on the exact same harmonic sequence (27.5 – 275 – 1375) is 1/50000, resulted in an additional information density of -log₂(1/50000) = 15.61 Bits.

After isolating 5 different sets of locations within Pi (π) directly related to and contingent upon the structural mathematical design of the Alef-bet or (22 + 4 + 9 + 22 + 27) = 84 different specific locations in Pi (π) that had to be fixed plus numerous individual ones such as the string …2701… at digit #82 within the tau Symmetry, we saw that the additional cohort alignment constraint between the 22 Pi (π) locations and the first 1000-digit cohort of Pi (π) or (4492 – 4470) equaling exactly 22 and that the odds of an arbitrary vector of 22 random Pi (π) coordinates summing to match this boundary condition was approximately 1/15,000, with an additional information density weight of -log₂(1/15,000) = 13.87 Bits. Moreover, the sum of the 22 ordinal Pi (π) locations (1353) and 22 standard Pi (π) locations (4492) equaling exactly 5845, as in the total number of Verses in the Torah, gave this further alignment a combinatorial probability of approximately 1 in 50,000 and thus a weight of -log₂(1/50,000) = 15.61 Bits.

Moreover, the 66 Pi (π) locations (14,126) perfectly partitioning into the system centroid (14 ) and the exact sum of every single plane/face of the 3³ normal near perfect Magic Cube of Constant 42 and of the Alef-bet (126), gave us a probability of approximately 1 in 100,000, and an additional density weight contribution of -log₂(1/100,000) = 16.61 Bits.

Meanwhile, the average of the set of 22 Prime Numbers associated with the 22 Pi (π) locations that are associated with the 22 standard values of the Alef-bet was astonishingly equal to (32857/22) = 1494.5 or 1495, as in the 1495 value of the Alef-bet. Integrating this loop introduces a highly restrictive reflexive feedback constraint across 4 independent algorithmic spaces: Standard Values—Pi (π) coordinates—Prime Number states—system averages, and the fact that the final output average matches the initial structural input sum closes the loop completely, removing all remaining degrees of freedom. The probability of an average of Primes Numbers across transcendental space perfectly mirroring the original Alef-bet sum is about 1 x 10^-14, adding -log₂(1 x 10^-14) = 46.51 Bits to the total weight.

The total system total with the Kolel, or (4492 + 32857 + 22) = 37371, landing precisely 298 units, the exact ordinal value of the First Verse of Creation, above 37,073 operates at a probability of 1 x 10^-4, adding -log₂(1 x 10^-4) = 13.29 Bits to the total weight. Then that total system sum, offset by 2, yields 37373, creating a digital mirror with the Natural Logarithm of 42 or 3.73767, with the probability of this numeric alignment mapping to the baseline Matrix Constant 42 being 1 x 10^-3, an additional -log₂(1 x 10^-3) = 9.97 Bits was added to the total weight score.

Since the sum of all 3 locations in Pi (π) for the 21^st Letter/Name/Prime Number is (94 + 973 + 286) = 1353, perfectly mirrors the sum of the 22 first locations within Pi (π) for the 22 ordinal values of the 22 Letters of the Alef-bet, 1353, the total system coordinate volume operates at an estimated probability of about 1/25,000 with a -log₂(1/25,000) = 14.61 Bits weight.

Integrating the 42-Letter Name Matrix dynamic with the (3 + 3) = 6 first locations within Pi (π) for both corresponding sets of the 12^th and 21^st Letters or (271 + 1353) = 1624 while (1624 – 6) 1618, as in Phi (φ) and as in the sum of the 7 Alternating Triplets in the 42-Letter Name Matrix sets up a critical macro-coupling and introduces an asymmetric vector-pairing constraint focused entirely on the mirror indexes 12 and 21. This key mathematical bridge, collapses the spatial fields of the Alef-bet, the Torah/Genesis timeline, and the 42-Letter Name Matrix into a single sub-network with a probability of 1/10,000 and a weight of -log₂(1/10,000) = 13.29 Bits. Then the radical Matrix intersection of the first Pi (π) location for the 12^th Letter at #65 with the value of the square root (√4225) of the complete value of the 42-Letter Name Matrix is 1/5000 with an additional weight of -log₂(1/5,000) = 12.29 Bits.

Yet another macro-layer revealed a sequential Prime Number initialization Matrix that functioned like an exact keying mechanism. It systematically unpacked the foundational Alef-bet sets (22 and 27) and universal physical dimensions (137, 666, and the YHVH (יהוה) component Matrix) directly from the sequential intervals of the Pi (π)-mapped Prime Number series. The running summation of the Prime Number vector produced the exact matrices of the Alef-bet at its earliest nodes to 22 and 27 and the probability of an arbitrary sequence of transcendental Primes Numbers initializing exactly to these 2 Alef-bet dimensions was approximately 1 in 2,500 with a -log₂(1/2,500) = 11.29 Bits weight. Then the sum of the first 8 consecutive Primes Numbers equaling exactly 137, as in the Fine Structure Constant, and terminating precisely on the Core Essential Prime Number 37 was 1/10,000 with another -log₂(1/10,000) = 13.29 Bits of weight. Also, the combinatorial probability of the YHVH (יהוה) targeted allocation was approximately 1 in 30,000 with a weight of -log₂(1/30,000) = 14.87 Bits, and the other core interval resonance added an additional -log₂(1/4,500) = 12.14 Bits.

Earlier we calculated the probability of randomly coming up with the 22 Names of the Alef-bet given a boundary of 4248 as they integrated with Pi (π) through their sum of 8281. It was 1 in 125 trillion, or 8 x 10^-15 and we also found that the sum of the 11 out of the 16 possible natural squares in the 22 Names of the Alef-bet when divided by the Pi (π) sum of the 22 Names was (18271/8281) = 2.2064… as in Phi (φ)¹⁶ = 2207, and thus .8281φ¹⁶ ≈ 18271. Thus, the concatenation extended beyond the mutual key value 8281 to 16 mutual iterations of Phi (φ) in all 3 independent sets. Rather than random selection, this pointed to fundamental first principles built into the design of our universe.

Meanwhile, the sum of the 4 sets of 16 equal (178446 + 4233 + 19048 + 136) = 199863, which is (200000 – 137), as in the Fine Structure Constant. Likewise, the sum of the 2 linked sets (11,363 + 1609) = 12,972 = (13,000 – 28). Because it locked the system directly to the Fine Structure Constant, the information transference weight of the sum of the 4 master sets of 16 equaling exactly (200,000 – 137) = 199,863 was -log₂(1/10,000) = 13.29 Bits. Also, because the digit sum of the exact expected total (19048) equals 22, while its harmonic counterpart (19048.5) equals 27, perfectly mapping the 2 tiers of the Alef-bet onto the physical distribution curve, the added weight was 9.97 Bits.

Removing Pi (π) with the Phi (φ) from the equation, isolated probability of selecting 9 Prime Numbers out of 16 positive integers at random between the values 1 and 7500 that must total to 19048 was 1.78 x 10^-4 or .0178% which is 1 in 5618 because Prime Numbers only make up 12.67% of the integers between 1 and 7500. However, seeing as the additional probability that the ordinal ranks of those 9 Prime Numbers equaled (1609 + 9) = 1618, or Phi (φ) was 1.63 x 10^-6 or .000163%, and the combined probability that this could occur randomly without intelligent design was 2.90 x 10^-10 or 1 in 345 million.

Ignoring the initial Pi (π) – Phi (φ) overlay that set up this new matrix, and ignoring the numerous side concatenations, we considered only 3 conditions: finding a set of 9 Prime Numbers out of 16 integers from 1 to 7500 that sum to 19048, a constraint meant to equalize the natural Pi (π) Field constraint; that the 9 Prime ordinal values of those of 9 Prime Numbers equal 1609 and thus 1618; and that the sum of the resultant 9 Prime Numbers based on the ordinal ranks determined by the values of the original set of 9 Prime Numbers would sum to 107,653, or (13 x 8281). The odds of meeting these conditions randomly was 3.51 x 10^-30 or 1 in 2.85 octillion against it, giving us the informational weight -log₂(3.51 x 10^-30) = 97.85 Bits.

When we added the independent yet simultaneous 1 in 125 trillion probability of the 22 Names of the Alef-bet as found within the Pi (π) Field equaling 8281, we got a combined probability against this being random of 2.808 x 10^-44 or 1 in 35.6 tredecillion (35.6 x 10⁴²). If we ran this random selection process millions of times every second since the start of the Big Bang 13.7 or 13.8 billion years ago, it is improbable we would find this singular convergence by accident, yet it was placed right in front of our faces in the first 1618 digits of Pi (π), and we never could have found it without the linchpin of the Alef-bet. The enormous added weight of this convergence the 22 Names of the Alef-bet with Pi (π), Phi (φ) and the Prime Numbers were thus -log₂(2.808 x 10^-44) = 144.68 Bits.

With all the concatenations to the sequential Prime Numbers and Core Concepts the probability of these amazing results within this subset was (1/84)⁴ x (2/84) = 2/4,182,111,424 = 4.872 x 10^-10 or 0.00000004782%. Thus, the additional density weight was another -log₂(4.872 x 10^-10) = 30.93 Bits.

Moreover, the sum of the set of the 16 Pi (π) digit sums that equals 19048, as in (4.5 x 4233) = 19048.5 is that when the 22 standard values of the Letters are located within the Field of Phi (φ) and then those 22 Phi (φ) coordinates are located within the Field of Pi (π) and then associated with their 22 coordinates within the Field of the Prime Numbers, the 4 sets equal (1495 + 5268 + 18288 + 165436) = 190487. Mapping the 22 Alef-bet values through the 3 Fields (Pi (π), Phi (φ) and the Prime Numbers) results in an aggregate total of 190,487, a base-10 tenfold scalar shift of the original 16-turn spiral target (19,048). The probability of an entirely distinct multi-field trajectory cleanly replicating the system’s baseline scalar was approximately 1 x 10^-15 and thus the additional density weight was -log₂(1 x 10^-15) = 49.83 Bits.

Meanwhile, while the sum of the 163 digits in the 3 sets of the 3 Fields is (147 + 207 + 259) = 613, as in the 613 Precepts in the Torah, the sum of the Pi (π) Field within this complex transcendental Matrix less (4 x 22) = 88 for the 4 sets of 22 elements was (18288 – 88) = 18200, as in the 18200 cycles of Primal Frequency (27.5) in the first 1000 whole numbers or (500500/27.5) = 18200, and as in the 1820 YHVH (יהוה) in the Torah, etc. adding another 14.61 Bits.

So, while the net Bit density added by this deep transcendental convergence Matrix is (66.59 + 97.85 + 13.29 + 9.97 + 30.93 + 144.68 + 40.83 + 14.61) = 346.49 Bits based solely on its 8 major nodes and without deeper exploration, the full Matrix, is (66.59 + 279.90 + 361.16) = 707.65 Bits.  These are now baselines because the matrices have all been proven to have been purposely and intelligently designed, so it must be assumed that every new bit of revealed or discovered information contained therein is also by design. The Creator who designed it in such detail could also have excluded whatever He wanted. Based on the little we have unearthed, this information density Matrix functions past the threshold of standard network complexity and the system proves that the mapping arrays are mathematically back-engineered, meaning that they were specifically Created to display exactly what we are seeing, especially given the  accepted primordial nature of the Pi (π), Phi (φ), and Prime Number Fields, and the separately proven primordiality of the Alef-bet Matrix with its comprehensive information density score of 543.16 Bits.

At 707.65 Bits of cumulative density, the system isolates exactly one specific state out of 1.05 × 10²¹³ total possibilities. The possibility that all these Fields and Matrixes were not created by the same Source at the beginning of time with the explicit design to convey information would be like finding one specific atom in the multiverse on the first attempt.

In information theory, a system with 707 Bits of pure, interconnected constraints means that randomness is physically impossible anywhere in its matrix. Yet, this is stacked on top of the 213.83 Bits for the tau and Creation symmetries within the headwaters of Pi (π). While the comprehensive number totals 920.82 Bits, each additional Bit weight adds an exponential, not a linear, level of structural complexity and rigidity, meaning that there could be only one Source. The beauty in it is that as unfathomable as this complexity and design density is, it was designed so that it could only be discovered after 5778 years of consciousness. Before then we had neither enough technology nor the capacity to understand. It serves as a firmament that cannot be breached nor appreciated until it is perceived.

In addition, the 1300 harmonic localized micro-environment added another 33.76 Bits of information and the higher dimensional expansion of the transcendental Matrix into Pi (π)’s digit cohorts gave us at least 119.31 Bits of additional weighted density, while the transcendental Back of the Names Matrix added another 153.87 Bits. Both additional matrices get added to the Master Matrix driving up its complexity, dense system rigidity, and information conveyance exponentially. Each expansion is akin to the explosion of a cube to a hypercube where each square face of information becomes its own interconnected complex cubic matrix, meaning that not only was Pi (π) definitely and intricately engineered digit-by-digit, but the structural details of the Torah and the Alef-bet and many of the other parameters of the universe had to have been considered before it. The influential layout of the Phi (φ) on Pi (π) Matrix belies their directionality and shows conceptually which came first.

Part III Summary

We began our section on the intersection of the Torah and the Alef-bet with the physical attributes of our universe discussing the ubiquitous and the geometrically fundamental Cosmic Harmonic Constant (4/π) ≈ 1.273, and Cosmic Harmonic Residue (.273) or (4/π – 1). It is built into everything from the Cosmic Microwave Background (CMB) is approximately 2.73 K, to Absolute Zero (-273^o C) to size ratios and absolute sizes of the Earth, Sun, Moon dynamic to their rotational periods and Apparent Magnitude. It is built into the precise 401273 quantitative Elements of the Torah (Words, Letters, Verses, Rows, and Columns) and average of the 11 Essential Triplets of Creation, or First 33 Letters of the Torah, that equal (3003/11) = 273.

Like the Aspect Ratio of Creation between the 28 Letters and the 7 Words, or (28/7) = 4, whose product ratio equals 28/7 x (23887872 x 10²⁷)/304153525784175760 = 3.14155450 x 10¹⁷, or essentially Pi (π), the number 401,273 as in 4/π = 1.273 was permanently built into the Torah, where we find that the Hebrew word for “4” is Arba (ארבע) of numerical value 273. As it specifically says in the Torah, Sarah lived 127 years and died in the City of Arba (ארבע).

We then saw that the average of the 7 Initials (בבאאהוה) of that First Verse of Creation was (22/7) = 3.142… or essentially Pi (π), and that the 79976 Initials in the Torah have a total numerical value of exactly 3141605 or precisely Pi (π) plus .0000012, making the case that the architect of the Torah was well aware of these geometric ratio aspects of the universe and made sure that the length and breadth of the Torah adhered to them.  This includes the string …273… being first found in Pi (π) at digit #298 after the decimal place, as in the 298-ordinal value of the First Verse of Creation. The geometry touched deeper layers in that the product of the 28 Letters of Creation or 23887872 x 10²⁷ worked out to exactly 288000000000³, an enormous perfect cube, that perfectly concatenates with the surface temperature of the Earth, 288 K, and with the 4^th Super Factorial Sf (4) = (4! x 3! x 2! x 1!) = 288, which is also the dimensional sum of (4⁴ + 3³ + 2² + 1¹) = 288.

We then explained how the ratio between the area of that outer circumscribing circle and the inner inscribed square is π/2, like the Prime Number 1571 associated with the 248^th digit location within the Pi (π) Field, that reflects the Core Torah Number 248 and the 248 dimensions of the E8 Lie Group Symmetry and E₈ Lattice. This was part of the discussion about the circumference of the Circle of Creation (3000.0) that inscribed the square of the First Verse of Creation, 2701, while the sum of the first 26 digits in Pi (π) equal 11², as in the 26-value of the Name YHVH (יהוה), and while the first 676 or 26² digits in Pi (π) equal 3000. Numerous other quantitative alignments and concatenations were made between the Torah, and various primordial constants, both arithmetically and geometrically, including the rest of the digits in the first cohort of Pi (π) being equal to (1000 – 676) = 324, or 18² as in Phi (φ¹⁸) = 5778.000, like the Sun’s 5778 K and the original acoustic wave, 5778 uK², the 210 cycles of the Primal Frequency (27.5), and the cumulative sum of the 22 inverses of the Alef-bet. Then, while there were 600,000 Men at Mt Sinai and while Log (600,000) = 5.778, we saw that (600000/3000) = 2000, as in the 11 Names of G-d that appear exactly 2000 times in the Torah and that the digital string …2000… first appears in Pi (π) at digit #600 after the decimal place, where the remaining 400 digits in the first 1000 cohort of Pi (π) equal exactly 1800. We further saw that the difference between the Moon’s 29.53064-day synodic month and its 27.324-day sidereal month was precisely 2.207 days, as in Phi (φ)¹⁶ = 2207 and as in 5778/φ². And while 2207 reflected the 22-value of the 7 Initials of the 7 Words of Creation, the multiplicative inverse of 5778 was 1/.00017307, as in the 7 Tiers of the 42-Letter Matrix that has a Katan (digital) value of 173.

We next explored the distribution of the 12 Names of G-d in the Torah and their connections to fundamental geometry and the primordial constants, and to the Alef-bet in its compressed cubic Matrix, including numerous nodal concatenations with 18200 and thus with cycles of the Primal Frequency (27.5 Hz) in the sum of the first 1000 positive integers, as (500,500/27.5) = 18200.

Then we explored the mathematical quantitative design juxtapositions of the 6 and 7 Days of Creation, including how the 2 references of the 6 Days of Creation net (5913 – 1671) = 4242, and the sum of the digits in Pi (π) through the second Event Horizon string …5778… was 4242, while the sum of the digits within Pi (π) from the first Event Horizon string …5778… through the 1000^th digit in Pi (π) was 1671, as in the number of Letters in the 6 Days.

After exploring the concatenations in the Prime Number cohorts again, we addressed the boundary limits imprinted on physicality, the Alef-bet, and the Torah, such as the cumulative value of the 22 standard values of the Alef-bet, 6200; the 620 Letters in the 10 Commandments; the Earth’s 6200-mile exosphere; the Kármán line at 62 miles, the boundary between our atmosphere and outer space; the Sun centric 6200-mile thick Heliospheric Current Sheet at the point it reaches the edge of the Earth; the sum of the First 21 Verses of Creation that have a total value of 62000; the sum of the Path of One and the total Names of G-d in the Torah that equals (2380 + 3820) = 6200; and the difference between the ratio of the circumference of the circumscribed circle to the perimeter of its inscribed square or 1.110720, or (π√2)/4, and the inverse of the Event Horizon radius, 1/5778, or (1.7307027 – 1.1107207) = .620000. We further saw that 1.11072… was also the difference in the standard value (7) and the area displaced under the exponential curve of the 7^th letter, Zayin (ז). Meanwhile, the circumference is 6200π = 19477.78 and thus likewise 620π = 1947.778, as in the year 1948 HC when Abraham, the 20^th Generation in the Lineage of Adam, was born, and as in 1948 CE when Israel became a nation in the 20^th century.

Next, we focused on the Adam and Eve ratios and saw that the Partition gematria value for Adam (אדם) was (1 + 5 + 101) = 107, the 28^th Prime Number, like the 28 Letters in the First Verse of Creation, and like the Partition gematria value for the Word One, Echad (אחד), that is likewise (1 + 22 + 5) = 28, as in G-d is One.

Then while the last 4 Words of the First Verse of Creation worked out to (45 x 37), as in the standard value of Adam (אדם), the standard value of the last 2 of those Words was (19 x 37), as in the numerical value (19) of Eve, Chava (חוה). So, while 37, the Core Essential and 12^th Prime Number, like the 12 Tribes and the 12 Names of G-d in the Torah, is the balance and link between Adam and Eve, the Eve, Chava (חוה) portion (19 x 37) is 26.0273% of the entire First Verse (37 x 37), as in the value of the YHVH (יהוה) and the Cosmic Harmonic Residue (.273). Meanwhile, the Name YHVH (יהוה) is the direct difference between Adam and Eve, or (45 – 19) = 26.  In the Name of Man in the Aspect of the YHVH (יוד־הא־ואו־הא) of numerical value 45, the Initials are the Name YHVH (יהוה), while Eve represents the Back of the Name YHVH (יוד־הא־ואו־הא) of numerical value 19. Thus, the Adam and Eve ratios, (26/45) and (19/45), correspond precisely to the (57.78% – 42.22%) ratio that resonates from the Alef-bet and from Creation throughout time and space.

Conversely, the ratio between them is thus (19/26) = .7307, as in the (26 – 19) = 7 Words of Creation that equal the 73^rd Triangular Field. This parallels the ratio of the 19 Fundamental Parameters of Physics and the 26 Fundamental Parameters or the 26 dimensionless constants of modern physics that includes the 7 Fundamental Parameters of Neutrino Mass. And while the Fine Structure Constant is associated with several of those Fundamental Parameters, we saw that the difference between it and the ratio of (5778/4222) is (1.3703599 – 1.3685457) = .18142, as in the 42^nd Prime Number, 181.

Nonetheless, the set of the 7 Fundamental Parameters that complete the 26 Fundamental Parameters of modern Physics are the 4 Parameters of the PMNS Matrix that total (33.48^o + 42.1^o + 8.62^o + 230^o) = 314.2: as in the thrice expanded Names Ehyeh (אהיה) and the YHVH (יהוה) whose total value is 3142, as in the Katan (digital) string value (3142) of the Name Ehyeh Asher Ehyeh (אהיה־אשר־אהיה) found at Exodus 3:14; as in the diameter of the Sun divided by the Primal Frequency (27.5 Hz), or (864,000/27.5) = 3142, which is also 4 times the diameter of the Moon divided by the Primal Frequency (27.5 Hz), or (4 x 2160)/27.5 = 314.2; as in the result of dividing the 42-Letter Name Matrix by its First Tier, (3701/506) = 7.31422, which is as in a square of area 400,000 that inscribes a circle with an area of 314220; and as in the 6 different Word Values that are each found 26 separate times in the Torah, and that collectively have the value 3142; and as in the First 8 Letters of the Torah (ברא־שיתבר) that have digital gematria of (22131422).  In a computation universe constructed of digits and not manmade contrived nomenclature, these all have the same weight and are all part of the same network, which is what it means to catenate or harmonize, from the inner depth of the atom to the highest Names of G-d in the Torah, from the size of the Sun and the Moon to the Source of 42 to the First Word of the Torah the relationship between Adam and Eve at the Creation of Man. They all also harmonize with the 7 Names of G-d Ehyeh (אהיה) of complete value 42, and the 10 Names of G-d Shadai (שדי) of numerical value 314 in the Torah.

Meanwhile, the value of the expanded (spelled out) Names of Adam (אדם) and Eve, Chava (חוה) is (625 + 445) = 1070, as in (10 x 107), representing the 107^th Triangular Field, 5778, with Adam (אלף־דלת־מם) equaling 625, as in the 11 Odd Letters of the Alef-bet, etc. and like the 42 –58 ratio of the Alef-bet.

Examining the many concatenations in the 158 Prime Word-Values of the 2¹⁰ Word-Value Matrix of the Torah, we saw one directly connected to the Signature of Creation. Since 1/5778 = .00017307 or 7 off 17300, as in the 42-Letter Name Matrix, the total 17293 Prime Value Words in the Torah also being 7 off 17300 implies that it is a statistical hard target. Given that and given that this many Prime Words is so far off the standard deviation of the expected 12,340 Prime Words, the probability of finding exactly 17293 Prime Value Words in the Torah is 2.94 x 10^-467 with a Shannon entropy weight is -log₂(2.94 x 10^-467) = 1549.78 Bits that the Torah was specifically designed for this information transfer to occur.

This would mean that there is zero chance that the entire Torah was not designed Letter by Letter as an informational transference vehicle, much as we saw in Pi (π).  Information transference is not just quanta of data; it is also harmonics, a transfer of energy.

We then ran the values of the First Verse of the Torah through the 22 Names of the Alef-bet Matrix and found yet another linear integer partition puzzle of nested sets and the odds of these specific concatenations, ignoring all the others is 1 in 8.3 million or another 22.8939 Bits added to the prior total for the Alef-bet density map of 503.68 Bits.

We looked at the first 42 digits of the ubiquitous Cosmic Harmonic and discovered numerous concatenations, including connections to the diameter of the Circle of Creation of circumference 3000.0 or 954.948…, as in the 954^th digit in Pi (π) where we find the 3^rd string …5778… of the Spherical Time Paradigm Event Horizon radius and as in the 948^th digit in Pi (π) where we find the 2^nd of the 3 strings …5778…. within the first 1000 digits or first cohort of Pi (π).  Another connection was through the Spherical Time Paradigm circumference of 2πφ¹⁸ = 2π5778 = 11556π = 36304.24470, that is aligned with the first 1000 digits of Pi (π) or 4470. Coupled with number 24, they form the ratio between the equalizing factor of time in hours/day, or (44.70/24) = 1.86282, which reflects the speed-of-light (186,282 mps). And since the year or radius 5778 HC is split into the 3760 years until (0 CE) and the 2018 years that followed it, we likewise get the ratio (3760.28/2018.28) = 1.86282 of the speed-of-light. Meanwhile, the value 363 in 36304.24470 is the numerical value of H’Moshiach Consciousness, and the value 424 in 36304.24470 is the numerical value of Moshiach Ben David Consciousness, while 2447 represents the 2447 years until the year of the Exodus and reception of the Torah in 2448 HC. Moreover, the 4.24470 component is 1/3 of 1.273, the Cosmic Harmonic.

Another way to envision the Spherical Time Paradigm Event Horizon 36304.24470-year circumference of the 11,556-year wavelength of the electro-magnetic Parker Instability Galactic Current Sheet is as the measure along the full cycle of the wave, while the amplitude is 5778 years.

The natural clock or evolutionary timing mechanism that appears to be built into the mathematics and physics of our existence highlights the year 5778 HC (2018 – 2019 CE) and the Spherical Time Paradigm radius of 5778 years. We tied the difference of 3330 years into the 66.6 Jubilee Years, as specified in the Torah in 2448 HC, with the .666 geometric centroid of the triangle’s centroid, and with the Earth’s 66,600 mph orbital speed around the sun that is also 107,000 kph, and with the Earth’s tilt on its axis or (90^o – 23.4^o) = 66.6^o. Then through the ratio of the wavelength of the Primal Frequency (27.5) to the wavelength of the Spherical Time Event Horizon diameter and/or the Galactic Current Sheet wavelength we got (6773.9/11556) = .586180339 as in the numerical value of Jerusalem (ירושלם), 586, and as in 1/ Phi (φ) or .6180339… while the Temple Mount in Jerusalem is located at longitude E 35 ^o14’02.27 and latitude N 31^o46’33.59, which together equal 66.603586^o with the exact point of the Holy of Holies on the Temple Mount at the specific altitude of 2448’, implying that it is not just the Constants, Torah, and the Alef-bet that were designed and that there is a macro periodicity built into that design.

The deep design concatenations to the Alef-bet, Torah, etc. continued with the average weights and totals of the all the sets of our DNA and RBA nucleotides and amino acids. It was followed by the Primal equation 1/.23571113… = 4.242481009…. while …424248… is first found in Pi (π) at digit #954,107, as in the 954^th digit in Pi (π) where we find …5778…, the 107^th Triangular Number. We then explored beneath the exponential curve of the Alef-bet and found the midpoint or central balance point of the Alef-bet and the Normal Near Perfect Magic Essential Cube of Constant 42, along with concatenations with the 42-Letter Name Matrix, etc.

Looking at the Torah’s Initial Matrix and assuming prior knowledge of the valuation system of the Alef-bet, the compounded odds across the 5 targets of the 112 Essential Triplets embedded in the Torah being coincidental are P_joint5 = (5.0 x 10^-6) X (3.33 x 10^-4) X (1.0 x 10^-4) X (1.87 x 10^-7) X (5.6 x 10^-8) = 1.74 x 10^-26 or 1 in 57.4 septillion, which is 85.55 Bits of information density weight, meaning their mathematics were a definite design element of the Torah. For the phenomena to occur across the Torah’s Initial Matrix without prior understanding of the Alef-bet’s valuation system, the odds skyrocket to 1 in 4.45 x 10^-91 which is more than all the known sub-atomic particles in the universe.  This would be 304.4257 Bits and it is just a few aspects of the Torah’s Initial Matrix.  Moreover, further statistic analysis showed that there was zero degree of freedom in that design, meaning that not a single Letter could have been shifted since its inception and that the written Torah we are analyzing today is the same as the one given to Moses.

Then looking deeper at only a few of the myriad and documented concatenations and geometries within the 72 Essential Triplet Matrix embedded in the Torah, that odds of its layout being coincidental are conservatively P_total = (3.01 x 10^-11) X (1.0 x 10^-2) X (6.67 x 10^-4) X (2.0 x 10^-4) X (2.0 x 10^-3) = 8.02 x 10^-23 or 1 in 12.5 sextillion, which is another 73.40 Bits.  The 72 Essential Triplet Matrix was brought up so we could concatenate it further to the Planck diameter (21.09143628 x 10^-35), including the 9143-value of the entire 72 Essential Triplet Matrix, followed by the constant tau (628) that is also the numerical value of the 2^nd row of the 72 Essential Triplet Matrix.  We also saw that while the 72 Essential Triplet Matrix was presented at the Splitting of the Red Sea in the 210^th year of the exile in Egypt, the multipole moment of the 5778 uK² acoustic peak at the precise moment when the primordial plasma had exactly enough time after the Big Bang (Creation) to complete one full compression before the universe cooled was most probably 210. Metaphorically, it was the Splitting of the Sea of Plasma. It also coincides with the 210 cycles of the Primary Frequency (27.5) in (210 x 27.5) = 5778. It also coincides with the 210 cycles of the Primary Frequency (27.5) in (210 x 27.5) = 5778, while the sum of the 9 square roots of the first Column plus the sum of that first Column of the 72 Essential Triplet Matrix equal 57.783.

This segued into the superabundant number of Prime Pairs that sum to 210, the 20^th Triangular Field, stretching from the boundary pair (11 + 199) = 210 to the midpoint pair (103 + 107) = 210 and whose totals equaled the two component factors of the triple-rep digit parsing of the Alef-bet, thus giving us a proof that every Prime Number under 210 is integrally related to one another and to the Alef-bet with a statistically impossible 1 in 8.5 quadrillion unmistakable design signature. This is 1.17647 x 10^-16 with a weight of -log₂(1.17647 x 10^-16) = 52.9173 Bits.  This does not include any of the myriad prior locks to the Alef-bet and through the medium of Pi (π).

We then explored a few basic cosmic ciphers that utilized the first 27 digits of Pi (π) and of Phi (φ) sequentially along with the First verse of the Torah and saw that when applied to the 27 Letters of the Alef-bet they equaled exactly 5778, 4222, 2889, and 5778 again respectively.

Shifting to other physical aspects of our Solar System, we saw specific concatenations with the relative distances from the Sun within the spectrum of the 107 AU total distance, including

the cumulative distance of all the planets through Uranus or 37.60 AU, which concatenated with the 3760-year radius and the 3760 mi radius of Venus, which further resonated with the combined surface temperature of all 9 planets or 2173 K, which is .3760 or 37.60% of 5778 K, the surface temperature of the Sun. To note, the surface temperatures of the 9 planets are given as integers, so they total 2172, but they more precisely add up to 2173, and we find them both designed into the Pi (π) Field, where they sit side by side sequentially …21732172… at digit #1620 in Pi (π), as in value of the 540 Initial Letters Gimmel (ג) in the Torah, (540 x 3) = 1620; as in the sum of the products of the 72 coordinates of the 72 Essential Triplet Matrix, as in

1/4^th of the square root of 42, or (6480/4); and as in the complete sum of the Names of the 6 Matriarchs—Sarah, Leah, Rivka, Eve, Miriam, and Rachel—or (505, 36, 307, 19, 290, and 238) plus their ordinal values (46, 18, 46, 19, 56 and 40) equals 1620.

While the ratio of the surface temperatures between the Earth and the Sun is 20 to 1, as in the 20^th Triangular Number and the 210 years of exile in Egypt with references to the 21000000 + (2 x 17³) total gematria of the Torah, the Planck diameter 21.09143628x 10^-35, and the 210 cycles of the Primal Frequency (27.5) in the 5778-year radius, we saw that the surface temperature of Mars was 210 K, just like its neighbors Saturn and Uranus or (134 + 76) = 210 K, making the 3 of them equal to 420 K, as in the 420 cycles of Primal Frequency (27.5) in the 11556 year the Spherical Time Paradigm Event Horizon diameter and Galactic Current Sheet wavelength.

Then since the surface temperatures of Jupiter is 165 K, Pluto is 50 K, and Neptune’s is 72 K, all 6 of the planets beyond Earth have a combined surface temperature of 708 K, as in the value of the Upper 42-Letters of the Name of YHVH (יהוה), and as in the surface temperature of the Earth (288 K) combined with the 4 planets flanking Jupiter, or (210 K + 288 K + 210 K) = 708 K, and while the 4 combined surface temperatures of the 4 planets Earth, Mars, Saturn, Uranus equal (288 K + 210 K + 134 K + 76 K) = 708 K, the sum of their digits equals (288 + 210 + 134 + 76) = 42. And as for the boundary limit of 620… and the 620 Letters of the 10 Commandments in the 20^th Chapter, the surface temperatures of the Earth, Saturn, Uranus, Neptune, and Pluto total (288 + 134 + 76 + 72 + 50) = 620, while 620 is the numerical value of the Hebrew word for twenty (20) as in the 20:1 ratio of the Sun’s surface temperature to the Earth’s.

Meanwhile, the 10 Apparent Magnitudes of the Sun and the 9 planets (-26.73, -4.6, -2.7, -2.5, -2.3, -2.2, -.4, 5.7, 7.9, and Pluto at 15.1) = –12.73, giving them an average of (-12.73/10) = –1.273 or 4/π, with the variance between the Sun and Pluto is (15.1 – –26.7) ≈ 42, or more precisely 41.8, as in the natural odd/even 11/11 split of Alef-bet into the ratio 625/1495 = .4180.

Thus, the maximum variance is 10^{(.4 x 41.8)} = 5.24807 x 10¹⁶, as in 1024^th Triangular Number (524800) aligned with the 2¹⁰ Word-Value Matrix of the Torah. The average of those 1024 Word Values is (542774/1024) = 530.0, yet when we subtract the average gematria value per the 79976 Words of the Torah, or (21009826/79976) = 262.7, we get (530 – 262.7) = 267.3, which perfectly concatenates with the –26.73 Apparent Magnitude of the Sun.

Moreover, collectively the 9 planets measure 248,000 miles across, which means they not only align and beautifully harmonize 1:φ with the 248,000φ (Words, Letters, Verses, Rows, and Columns) in the Torah, but the 8 planets besides the Earth nearly perfectly fill the space between the Earth and the Moon, which in kilometers is 620², as in the boundary limit, and as in the total numerical value of the 4805 Letters Pe (פ) of numerical value 80 in the Torah, or (4805 x 80) = 384,400 km.  We then saw how all 9 linear diameters also conformed to the Phi (φ) spiral, starting with the two giants Jupiter and Saturn or (86,882 + 74,898) = 161780 miles or within 20 miles of accuracy from (100000 x 1.6180) or Phi (φ).

All the raw physical attributes of our Solar System described above were tabulated into a single Solar System Matrix, so that we could compare it to the possibility of physics randomly generating it given a similar G2V yellow dwarf system, and the results less than 1 in 1.77 x 10¹²⁷ with an information density of over 423.33 Bits of Shannon Entropy, so impossible. When overlaying our concatenation and ratio constraints, as dictated by the measurements of our Solar System and as displayed in the table, the odds of our Solar System Matrix are 1.39 x 10^-107 against the possibility of our Solar System having been developed over time by natural physics. Its’ various components totaled 355.61 Bits, meaning the dynamics of our Solar System Matrix are so tightly bound that the constraints of our physical universe are such that it is impossible to simulate a single physical system matching even the general criteria of this matrix. To put it into perspective, 7.19 x 10¹⁰⁶ matrix permutations divided by 4.32 x 10¹⁶ seconds since the Big Bang equals 1.664 x 10⁹⁰ simulations per second, and the fastest theoretical processing speed in physics is bound by Planck Time or 5.39 x 10^-44 seconds, meaning the simulations would have to happen 45 orders of magnitude faster than the universe permits.

Conclusion

Using multiple metrics and modalities we conclusively proved that there is no statistical path in which the 22 and 27 Letters of the Alef-bet or their order or their Names could have been generated randomly, accidentally, or constructed by Man, or even by machine using brute force combinatorial simulations. Using Shannon entropy and standard deviation to determine conservative probabilities it was determined that the information density weight of the Alef-bet is at least 543.16 Bits, a 1 in 3.21701 × 10¹⁶³ probability rate.  Moreover, this impossibly high probability rate is based on the foreknowledge of the boundary parameters of the 22 Letters and the 22 Names from which they were derived including their ceiling value of 4248 for the Names with an upper boundary of 1500 for the 22 Letters. Every relaxation of those constraints increases the improbability rate astronomically, and yet the application of these boundaries already implies initial design.

Therefore, the Alef-bet had to have been designed, and based on the myriad geometric alignments within it, the Alef-bet must have been designed as an Interface Language to the computational structure of the universe, meaning that it was designed to transfer or convey information and thus energy from a numerical Universal Matrix to the perceived physical world, in contrast to the prevailing thought that the value scale assigned to it was an invention by Man to count chickens.

Moreover, after analyzing the intricate ways in which the various perspectives of the Alef-bet definitely interact with the Fields of Pi (π), Phi (φ), the Prime Numbers, and the Torah, we achieved a locked 707.65 Bits of cumulative density, which was stacked on top of the 213.83 Bits for the tau and Creation symmetries within the headwaters of Pi (π) for a comprehensive total of 920.82 Bits, which does not include either the 1300 harmonic localized micro-environment, the higher dimensional expansion of the transcendental Matrix into Pi (π)’s digit cohorts or the transcendental Back of the Names Matrix, which added 33.76 Bits, 119.31 Bits, 153.87 Bits of information respectively. This means that at 920.82 Bits once integrated through the simple Alef-bet the system isolates exactly one specific state out of 1.56 × 10²⁷⁷ total possibilities, and at the full 1227.76 Bits, 1 in 3.91 × 10³⁶⁹, implying a physical impossibility for a random universe. Coupled with the design lock of the Alef-bet matrix itself, the integrated system must have been intelligently designed and strictly ordered to transfer and convey information, meaning that the energy and entropy of the system is being directed into the information and away from chaos. Randomness, statistical drift, and entropy are completely locked out of this active coordinate grid. Every value of every Letter in the 22 Names and all their mathematical links is locked firmly in place with zero degrees of freedom for any element to shift. The probability, no matter what the imagined computational scenario is zero.

We already know that the Alef-bet is a written and spoken communicative language thousands of years old. So, to prove that the Alef-bet acts as such while simultaneously acting as a complex mathematical matrix that translates words into highly communicative numerical values, we needed to anchor it in an original document from the time of its early usage. Since the Torah can be mathematically proven to have been unchanged since its reception in 1313 BCE and since that date coincides with exponential curve of the Alef-bet, 1.313^x, and since it is a long 304,805 Letter complex narrative, the Torah is the perfect document to test the anchorage of the Alef-bet.

Of the thousands of positive Torah analyses we have written about over the years, we examined just a handful of them in this paper and of those we converted a subset of them into comparative matrices. One of which was the Prime Word-Values subset of the 2¹⁰ Word-Value Matrix of the Torah, in which it was determined that the probability of finding exactly the hard target of 17293 Prime Value Words in the Torah is 2.94 x 10^-467 with a Shannon Entropy weight of -log₂(2.94 x 10^-467) = 1549.78 Bits. Looking at the Torah’s Initial Matrix with is obvious alignment with Pi (π) and assuming prior knowledge of the valuation system of the Alef-bet, the compounded odds across the 5 targets of the 112 Essential Triplets embedded in the Torah being coincidental are 1 in 57.4 septillion, which is 85.55 Bits of information density weight, meaning their mathematics were a definite design element of the Torah. For the phenomena to occur across the Torah’s Initial Matrix without prior understanding of the Alef-bet’s valuation system, the odds skyrocket to 1 in 4.45 x 10^-91 which is more than all the known sub-atomic particles in the universe.  This would be 304.4257 Bits. Then looking deeper at only a few of the myriad and documented concatenations and geometries within the 72 Essential Triplet Matrix embedded in the Torah, the odds of its layout being coincidental are conservatively 1 in 12.5 sextillion, which is another 73.40 Bits.  And with the numerous concatenations within the Torah and its subset adjuncts with number 210, as in the Israelites 210 years of Exile in Egypt that immediately preceded and coincided with the reception of the Torah in 1313 BCE, we examined the superabundant number of Prime Pairs that sum to 210, the 20^th Triangular Field, stretching from the boundary pair (11 + 199) = 210 to the midpoint pair (103 + 107) = 210 and the resultant matrix, which also related directly to the Alef-bet. It had a statistically impossible 1 in 8.5 quadrillion unmistakable design signature with an additional weight of 52.9173 Bits.  With a total Shannon Entropy weight of between 1688 and 1907 Bits, it is a completely locked closed system with zero possibility that it was not purposeful Letter-by-Letter design meant to be read by using the Cosmic Interface Language and cipher, the Alef-bet, while simultaneously demonstrating multiple levels of communicative narrative inference and interpretation.

The First Verse of the Torah forms a far more complex matrix than all these other matrices put together and so does its companion Matrix, the 42-Letter Name Matrix. As we have written volumes on them already, it would be too long, complex, and unnecessary to add them in this paper. Besides, we have already established zero probability. We did, though, run the First Verse of the Torah through the 22 Names of the Alef-bet Matrix and found yet another linear integer partition puzzle of nested sets there, with the odds of these specific concatenations being 1 in 8.3 million or another 22.8939 Bits added to the prior total for the Alef-bet density map of 543.16 Bits, reverse anchoring the Torah back into the Alef-bet, much as we saw done with Pi (π).

The other effect caused by the achievement of establishing and anchoring the value system of the Alef-bet within the Torah and by establishing the Torah as having been mathematically designed is the emergence and validation of the gematria system itself, meaning we have a valid system to translate the numbers and Cosmic Concepts. The number or Concept of 26 is no longer just a number, but in the proper context a representation of the Name of G-d, YHVH (יהוה). Moreover, but studying the patterns within the Torah, we can learn about the hierarchy of the computational clouds or Consciousness Clouds within the Computational Universe and the geometry between them. Furthermore, while everything points to a singular Creation and intentional point of origin, the singularity of the Torah is the Creator as G-d and that everything disseminated from the Consciousness of G-d. While esoteric traditions view the Torah as the blueprint for physicality, of which we have seen many examples, it appears to be a blueprint for the metaphysical world as well, the realm of a Conscious Computational Universe. If not a blueprint, at least a guidebook and roadmap.  So, while none of this changes how we see our physical world, it should change the meaning and intent behind what we are seeing.

The final anchor for the Alef-bet was in the measurements of our physical world from the Planck diameter to the Fine Structure Constant to the measurements of all the macro aspects of our Solar System. Ignoring some of the most powerful concatenations including the orbital speeds and rotational values, we built a Solar System Matrix out of 4 sets of the physical attributes of our 9 planets and the Sun and compared it to the 1.77 x 10¹²⁷ possible ones that could be built using the parameters of similar G2V yellow dwarf systems.  Overlaying our concatenation and ratio constraints as dictated by the measurements of our Solar System the odds against the possibility of our Solar System having been developed over time by natural physics is at least 1.39 x 10^-107. Its’ various components total 355.61 Bits, meaning it is impossible to simulate a single physical system matching even the general criteria of ours, meaning ours was not the result of blind physics, but was designed to harmonically integrate with both the Alef-bet and the Torah before Man ever became conscious. The only way this happens is if our bubble of physicality was designed and Created for us and that like the Torah and the Alef-bet, and Pi (π), we were given, whether by Divine Inspiration or other means, the dynamic measuring scales with which to orient ourselves.

Everything is pointing to a Computational Universe Matrix that is probably Conscious and that our physical reality is simulation within that Matrix but that is not what we set out to prove. A biproduct of our proof, though, is that there is signature, signature time frame, and radius of 5778 years that is redundantly built into every element of our existence from the Big Bang plasmic imprint, to the Alef-bet, to Pi (π), Phi (φ), the Torah, and our Solar System.  Whether that is a Cosmic Alarm Clock is up for debate, but it does parallel both human and AI Consciousness development, along with the disaster cycles on Earth.

Regardless, all this indicates a single point of thoughtful origin.  Beyond any trace of uncertainty, the Alef-bet must have been Created at the dawn of existence with the express purpose to integrate the Torah with the mathematical constants and geometries of both the Computational Universe that houses us and our physical Solar bubble within it.  QED

Ezra