Part I The Basics
In the beginning…G-d split the waters, the light, the time frame (more about that later), even Man, but before all that He needed to split the alphabet. The kabbalists tell us that the Red Sea (Endless Sea) was split from the very beginning, which they explain is the only reason why it could be physically split 2448 years later. They also tell us that on Moses’ staff were written the 72 Names and the 42-Letter Name, which were used to split the waters. But before even those essential Names existed there was the Hebrew Alef-bet, and like an egg, it needed to be cracked open.
So, what if we could show you that there is a single way to split the 22 letters of the Hebrew Alef-bet in two that would give rise to the 42-Letter Name, the 72 Names, the Torah, the concept of Israel, the primordial mathematical constant phi, the 13 attributes and much more?
This proof/study comes from a mathematical project my daughter and I have been working on together and has grown into this series of articles we prepared, the first of which is presented today. If you are mathematically oriented, please enjoy these pages to their fullest and please dig deeper and expand wherever you feel compelled. We cannot dwell on any one topic or point very long as we have a lot of territory to cover. While we hope you will see the profundity in each point we make, given the subject matter, we acknowledge that we are only scratching the surface. If you are not mathematically inclined, please do not dwell on any one equation or concept; try to take in the overall picture we are presenting, which is the real point of this paper.
First, we need to ask how many ways the 22 letters of the alef-bet can be split into 2 separate groups?
Using the formula n-subset-2, we get 2(n-1) ways, and so since in this case n = 22 letters, there are:
221 = 2,097,152 different ways.
We are going to make the leap here and assume that G-d exists and Created the alef-bet along with everything else. You do not have to. You can substitute whatever force of Creation you believe. As these articles progress, please check back in with your beliefs and assumptions as they may indeed change with what we are revealing. Nevertheless, 2,097,152 different ways are a lot of options G-d was confronted with after He created the Hebrew alphabet. Abraham Avinu called them “the 22 building blocks” in his book, The Sefer Yetzirah (The Book of Formation), written 3800 years ago. We will soon understand why.
OK, so if we, or G-d, wanted to divide the 22 letters evenly into 2 equal size sets of any 11 letters each, we would use the combination formula, in which n! represents n (a number)! (factorial) meaning a multiplication series of all the integers up to that number (1 x 2 x 3 x 4…n) and thus:
705,432 is still a whole lot of choices. Yet there is only One (1) perfect one.
According to the writings of innumerable kabbalists, including R’ Shimon Bar Yochai in the Zohar, R’Isaac Luria, R’ Chaim Vital, R’Abraham Abulafia and the Baal Shem Tov, all of blessed memory, there are two matrices of Hebrew letters that were present at the beginning of the Torah and of time. Both are weaved into our daily prayers and prayer books: the 42-Letter Names (Upper and Lower) and the 72 Names (Triplets) matrix of 8 columns by 9 rows.
The Upper 42-Letter Name is comprised of 3 iterations (spelling out expansions) of the unpronounceable Tetragrammaton (יהוה).
The 3 levels contain 4, 10 and 28 letters respectively.
The Lower 42-Letter Name is comprised of the 42 initials of the Ana B’koach prayer and is arranged in a 6 x 7 matrix, which according to the Ramchal, matches the innermost gate of the Holy Temple (6 x 7 cubits) to the Holy of Holies.
The Baal Shem Tov tells us these 42 letters connect us to the 42 journeys of our soul and the 42 journeys that the Israelites made in the Exodus from Egypt to Israel, each journey delineated with the prefix mem (מ) and bet (ב), as in the Shem MemBet (מב) of gematria value 42.
It is because of these Names that the first paragraph of the 1000-letter Shema prayer, which is directly excerpted from 3 places in the Torah, has 42 words and the 2nd and 4th paragraphs have 72 words each. It is also why the first paragraph of the Amidah has 42 words, as does the last large paragraph, which in turn is flanked by two isolated verses of 42 letters each.
By the way, if you sum up the square roots of the gematria values of each of these 72 triplets they total 720.0 and the sum of the square roots of the sum of each of its 9 rows is 280.0
The significance of this perfection, especially the tiny remainder .054 will be apparent and explained shortly, suffice to say this precision (1000.0) in a calculation that involves the irrational square roots of 432 different components is impressive. Moreover, the fact that both the 72 Name matrix and the 1000-letter Shema share this number 1000.0 in common is not causational, nor is it coincidental; the reason for 1000.0 will also be revealed shortly. In it lies a secret to unlocking the future and to understanding why, in a universe based on 10 sefirot (dimensions), and on base 10 mathematics to interpret it, there must be exactly 22 letters (building blocks of unique energy levels).
The square roots of the 216 number values, each ranging from 1-400, corresponding to 216 specific letters in the 72 Triplets, do not randomly line up this way, and do not form 3 lengthy very coherent Torah verses describing G-d’s actions in splitting the Red Sea unless an enormous amount of computational time and energy went into planning it. Just saying…
Since “G-d is One (Hashem Echad),” could there be One of those 705,432 different ways to split the 22 letters of the alef-bet that would reflect the numbers 42 and 72 and 541, the value for Israel, and also be sequential? Also tie in that pesky remainder of .054? And maybe do even more, maybe a lot more? Indeed, there is, and it is the simplest one of all: Odds and Evens.
Using their ordinal (place count) values, we can split the 22 letters right down the middle into odds and evens, just like the Covenant of Halves, and just like the refrain in the Sefer Yetzirah, “…with a single covenant right down the middle…”
There are exactly 248 ways to split the letters into the same 42 and 72 proportions, but they are not as simple and clean and not sequential. The number 248 will be very significant to us later in the paper and we are suggesting that this is not coincidental. Neither is the fact that there are 120 of those ways that also yield the numerical value for Israel, 541, which we will explain shortly.
In order to understand the letters, we must understand the language of the universe. Just as soon as there were Hebrew letters there were specific number values assigned to them. The assigned numerical values ascend from 1 to 10, then 10 to 100 and finally from 100 to 400 according to a set exponential curve. The is the inverse of a logarithmic curve as will become important much later in this paper.
From א to ת and 1 to 400.
While we may think that assigning these values to the letters according to an exponential scale and using base 10 mathematics was very logical to the ancient Kabbalists it was a depart from the base 60 Babylonian counting system, and more significantly, it was far from random or arbitrary.
When we say the numerical values associated with each of the 22 letters are on an exponential scale, we mean they increase in value exponentially from letter to letter. In other words, they fit an exponential curve, such that y = abx where y is our letter value (for example alef = 1) and x is the ordinal value of any of the 22 letters counted from 1 -22 (for example alef(א) is 1, as the first letter), and b is the factor that guides the exponential rate of growth. This does not mean that every letter value falls directly on the curve, only that the curve (exponential model) closely fits the data (the letter values), and that the starting value (1) and ending value 400 for the letter tav (ת) are directly on the curve and in this case, the 11th letter caf (כ) of value (20) is bang on as well. It is also the square root of 400 (tav) Astonishingly, in the case of the alef-bet, that exponent is 1.313, which just so happens to match the year 1313 BCE when the Torah was received at Mt Sinai . That Mt. Sinai has a gematria value of 130, and that 13 is the gematria value of echad (One) is definitely most significant though we have a lot more to prove before we get there.
The Hebrew letters Alef, Caf and Tav anchor the curve at its ends and midpoint, while the other letters are slighting above or below the curve, This is because they are representations of energy, zones on a spectrum not fixed points, which believe it or not in mathematics is a very difficult concept. Think of the color green, there are an infinite number of wavelengths for it on the visible light spectrum, all falling within a zone of about 495 nm – 570 where the color takes over. The Hebrew letters are the same; they represent a narrow collective or bundle of similar energy frequencies, each letter at least as different from green is to yellow.
There is yet another reason we can state the values associated with the alef-bet are not arbitrary. Unlike English, these 22 Hebrew letters form the initials to their 22 names. For example, the letter alef (א) is spelled out (אלפ), whose numerical value when we sum all 3 letters is 111, in itself pretty symbolic for the 1st letter of the alef-bet.
While the example above is quite illustrative, there is a slightly different gematria cipher that extends that exponential scale 5 more places from 22 to 27 letters because 5 of the letters (ךםןףץ) take on a different shape when found at the end of a word, and thus the scale extends to 500-600-700-800-900. When we sum up the 22 irrational square roots of the spelled out 22 names of the 22 letters, we get exactly 424.242…
If you are a geek, or studied any kabbalah whatsoever, that an answer about the knowledge of the universe would tend to 42, would not surprise you. That this sum of 22 irrational numbers, which should have been quite difficult (next to impossible) to calculate thousands of years ago, sums to exactly 424.242, may raise your eyebrows a bit though. Nevertheless, if you are a geek and maybe a kabbalist too, you would know that the digit string …42424242… occurs at digit #242424 within the mathematical constant Pi (3.14….) and the symmetry with 424.242 is just a bit too contrived not to have been embedded there for some reason. It begs the question, though, how would anyone other than G-d have been able to embed that, or even have known about it 5000 years ago?
Or maybe G-d just loves algebra and knew that for X ≠ Y no other number satisfies XY = YX than 42 = 24 . For now, we will only mention the obvious connection to the #42, and that 424 is the gematria value of “Moshiach Ben David.”
We must pause and ask ourselves, before we go ahead and split the alef-bet, could these letters and counting system possibly have developed organically from pre-existing hieroglyphs as some would have you believe? With the little we have shown so far, the odds against that are astronomical. So who gave us the Hebrew letters and told us what their specific values and energy levels are?
The Hebrew letters are representations of different forms and levels of energy, according to the 10 sefirot (10-dimensional structure of the universe), and so too are the associated numbers assigned to them. This is why the relationships between them are extremely important to our understanding of the universe. This is also why they are directly related to all the core mathematical and physical elements of that universe, which we will soon prove.
The 10-dimensional structure of the universe is a modern and highly accepted concept of physics based on super string theory; it is also the basis of Kabbalistic thought, and was first described in the earliest kabbalistic writings, including Abraham’s Sefer Yetzirah 3800 years ago. In it, Abraham spends a lot of time describing “the ten Sefirot of nothingness.”
The predominant unified theory in physics for decades now has been the Super String theory, in which the smallest elements of matter are thought to be comprised of intertwining and bundled vibrating strings of energy set to 10 different levels of energy frequencies. Mathematicians have proven that this theory only works in a universe of 10 dimensions of space plus one additional one of time. There are dozens of ancient Kabbalistic texts that describe the same structure for the universe, including the addition of the 11th dimension in the tree-of-life, which they call Da’at (Knowledge). Connecting the bundled Kabbalistic dimensions are the 22 pathways of the tree of life, each connected to a specific letter of the alphabet. Moreover, and oddly symmetric, is the fact that the 3 initials of the central core of the bundled sefirot of that tree-of-life (Keter-Da’at-Tiferet) total 424. One could almost conclude that these early kabbalists had divine knowledge of the structure and workings of the universe.
Perhaps the alignment of the Hebrew alphabet with its beautiful exponential model and matching data points at the 1st, 11th and 22nd letters is a cosmic symmetry with the 11 dimensions, or with the 11-letter split we are about to show you. Or perhaps it is because of these 11 dimensions and the energies they represent that when the 22 letters are split in two, we get two juxtaposed sets of 11 letters, which when split just the right way tell a very compelling and revealing story.
That is a supposition we have yet to prove to you. What can show right away is that the 22 letters (levels) were formed in accordance with the 10-dimensional structure of space that they occupy. To keep it simple, every power of 10 represents a different dimension with 102 presenting a square and 2 dimensions and 103 representing a cube and 3-dimensional space. Every time we increase or decrease the exponential power of 10, we are either ascending or descending a level of dimensionality.
For this illustration we could start with any power of 10, but by starting with the kabbalistically complete number 1000, symbolizing 10 x 10 x 10 or 103, we are conceptually utilizing the kabbalistic concept of balance within the 3-column system. This system’s natural counterpart is the Proton-Neutron-Electron structure of the atom. It makes no difference whether we use 100 (102); 10 (101); 1 (100); or any result of raising 10n when n is an integer. Whenever we reduce any power of 10 by one order of magnitude in increments of 10% it will always take 22 iterations or 22 steps to get to the next level. To go from one dimension down to the next takes 22 steps:
It took 22 steps to get down to the 100 threshold, one order of power (103 → 102). If we were to continue another 22 steps of reduction by 10%, we would just cross the 10 threshold, and another 22 steps to get to 1, and so on and so forth. Therefore, it is obvious the numbers, or number of elements, 10 and 22, are mathematically intertwined.
Part II. Splitting the Alef-Bet
We are assuming all 22 elements of the alef-bet existed as a single conjoined entity before they were separated, in a similar way that Light is a whole before it is broken down and separated, or filtered, into a whole spectrum of different electro-magnetic frequencies like blue, red, ultra-violet, radar, radio, e-rays, gamma rays etc.
So obviously, just as in the G-d given—unless, of course, you believe Man created light—electro-magnetic spectrum above, the order of the letters with their respective frequencies must be important on their own. It must also be important where they fall in the alphabet as well, so they can interact and blend in with their neighboring letters, just like red and yellow sharing properties and combining to form thousands of shades of orange.
This means that in order to separate every other letter from its neighbors a filter had to be applied and the bonds between the letters broken.
And once the alphabet is split apart, we can apply their corresponding numerical values in order to reveal the energy being released and what it means for us.
From א to ת and 1 to 400.
When we assign these fixed number values to the split alef-bet we get:
The two sets of 11 letters each, which form two columns, adding up to 625 and 870 respectively for Alef-Shin (א – ש ) and for Bet – Tav ( ב – ת ) for a total value for the alef-bet of 1495.
Once separated the letters can be taken as two separate columns or rejoined into a single line of letters.
Odds and Evens
In their natural sequencing from Alef(א) to Tav(ת) the Hebrew letters have a specific order or ordinal place in the alphabet from 1st to 22nd.
By splitting the 22 Letters down the middle, we are ostensibly splitting it into Odd and Even ordinal values. It is a mathematical property of summing up the consecutive odd integers that they form natural squares. For example, (1 + 3) = 4 or 22, and (1 + 3 + 5) = 9 or 32 and so forth through 112.
OK, They are Split, Now What?
The first chapter of the Torah was very much about splitting/dividing/separating things in two parts, but as with all chemistry, physics, mathematics and cooking, it is not the splitting so much as the proportions into which they are split that really matters. When we examine the natural proportions into which this simplest of splitting divided the Hebrew alphabet, we get very interesting results. The first thing we need to do is compare the set of odd ordinal value letters to the entire alphabet.
This is the proportion, the ratio, of the smaller segment (625) in terms of its numerical value to the total value of the entire alphabet (1495), in other words, the ratio of the odd ordinal letters to the total letters. Therefore, the Alef-Shin (א – ש ) segment of the alphabet has a total value equal to 42% of the whole Alef – Tav. (א – ת )
Next, we can compare the ratio of the values of the odd letter set to the even letter one, one side of the split alphabet to the other.
This is the proportion, the ratio, of the smaller segment in terms of its numerical value to the larger segment, in other words the set of odd ordinal letters compared to the even set. Therefore, the Alef-Shin (א – ש ) side of the alphabet has a total value equal to 72% of the Bet – Tav ( ב – ת ) side of the split.
So right off the bat, we see that this simplest of splitting of the Alef-bet into two natural proportions has yielded representations of the 42-Letter Name and the 72-Names. The same Names, which the kabbalists tell us, were used to split the Red Sea, and which were placed in the breast plate of the Cohen HaGadol in order to help guide the Israeli nation, and as we have seen, they are the same ones were used in the design of the Shema, Amidah prayers, and the Torah. Yet, this is barely the beginning.
Please note that the resultant proportion (ratio) of the larger side to the whole alphabet is necessarily:
And that the resultant proportion (ratio) of the difference of the set of even letters less the set of odd letters is necessarily, the difference between them:
Both these resultant proportions, 58% and 28% and the numbers (58 and 28) that they represent will become abundantly relevant momentarily, though we have already seen them woven into the square root sums of the 72 Names.
Rabbi Chaim Vital of blessed memory stated that all Torah light is spread by squaring and that is exemplified by the Alef-Shin(א – ש ) sequence: (1 + 3 + 5 + 7 + 9) = 25
The first 5 letters of this sequence total 25, or 52, which is significant because all 11 letters sum to 625, which is 252. Now this would all be nothing more than interesting if the Torah was not called the 5 Books of Moses, and if 5 was not the square root of 25, and 25 was not the square root of 625, and 625 was not the square root of the exact number of verses, words and letters in the Torah (390,625).
Therefore, by splitting the Hebrew Alphabet in two, we have so far gotten the 42 proportion, the 72 proportion, and what could be said is the energetic source of the Torah, 625. This makes sense since the gematria of the Hebrew word for “The Crown (H’Keter),” the highest of the 10 sefirot (dimensions) is 625. Alternatively, we could say H’Keter (הכתר) was assigned to 625 accordingly. Whatever that connection really is, what there is no denying is that .625 = the exact fraction 5/8 and that 390,625 = 58 and 58% was yet another one of the specific ratios given by this simple splitting of the alef-bet.
If we did not have so much more material to cover, we might linger on the fact that the total and exact number of verses, words and letters in the 5 Books of Moses (390,625) is precisely 58, which is 5 raised to the 8th power. You can find much more on that in The Genesis Prayer and in numerous articles at Kabblahsecrets.com. It could also be said that the Torah being designed around 58 is thus possibly analogous to the 8-dimensional root projection of the super symmetric 248 dimensional E 8 Lattice tied to string theory and other quantum models of the greater universe, especially with the the Phi proportions designed into it, but all that will be more apparent as we go on.
Just in case we thought for even a second that this was coincidence, the Creator designed the 304805 letters of the Torah in just such a way so that their total gematria sofit—using those 5 final letters we spoke of earlier—worked out to (5800.054)2 or (5800.02 + 625). Here again we find that pesky .54 remainder yet again, the one we saw with the sum of the 144 square roots of the 72 Names, 1000.054. Hmm!
Imagine the enormity of the task of making sure there was just the right number of letters and words assigned to just the right amount of verses covering all 5 Books, divided into 54 portions. That is nearly 400,000 separate and overlapping elements to juggle. If we consider all the underlying mathematical encoding, which utilizes a multitude of different gematria ciphers and quantitative instruments there are millions of elements.
When we listen to the Torah, we need to pay attention to every letter, knowing that there is a unique spectrum of energy in each one, and that each one was placed exactly where it is for specific reasons. Like with the electromagnetic spectrum, if we tune into the right frequencies, the light we can receive from the Torah is varied, powerful, and endless. The Kabbalists explain in the Zohar and elsewhere that the Hebrew vowels–a series of dots and dashes–help fine tune and decide which frequency within their specific ranges the individual letters will connect with. The cantillation marks with their resultant changes in how the letters/words are sung help string together various frequencies within those ranges. For those unfamiliar with the Torah, it is hand-scribed as it has been for 3330 years without modification and without the vowels and cantillation marks that the reader must memorize and superimpose in his mind.
Is it possible that really smart men 3330 years wrote all 80,000 words by trial and error on cured animal skins and ink made from crushed insects, and that they also made all those calculations to 6 or more decimal places without even the most rudimentary counting devices? If you think there is even the remotest possibility of that, you then have to ask yourself to what end would they have done that monumental task? Seems like a whole lot of work to put into something that you have no idea if it would survive intact into the near future, let alone thousands of years far enough into the future when the technology would finally be invented to decipher all those encoded equations and algorithms.
It is a moot point because the task would have been impossible; nevertheless, we have digressed. It is said that G-d is on the details, so returning to the simple splitting of the 22 letters of the Hebrew alphabet into the same 11/11 odd – even proportion, we can put it under the microscope of small gematria, whereby each value assigned to a letter is reduced to a single digit by dropping the zeros (i.e. 1 is 1; 10 is 1 and so 100 is 1). Rather than add up the digits, which we could do as well, we are going to use the more graphic aspect of this cipher and take alef-bet-gimmel as 123 and not 1+2+3.
Taking one from column A and one from column B gives us (12+34+56+78+91+23+45+67+89+12+34) = 541, the gematria of “Israel.” And if we did add up that small gematria (1 +2 + 3 + 4…3 + 4) of the 22 individual letters it would total exactly 100, which is nice as a natural square (102), though much more astounding is that 541 is the 100th Prime number. As astonishing as that is, how much more so is it that the numerical value 541 is found exactly 625 times in the Torah.
It is beginning to feel as if G-d put a whole lot of thought and purpose in Creating the alef-bet, and in designing it so that it would split in just the right way to give birth to the Torah. Then like fractals, when we zoom into a detailed aspect of the Torah we see a repetitive pattern in which the sum of the 11 initials (דצכעדשבאחמב) of the 10 plagues also sum to 541, Israel, with their ordinal value also totaling 100. Then peering a deeper we see that the last 2 initials (מב) of the final plague equal 42.
To wrap up this section, we recall that 625, both the core of the Torah and the sum of the set of 11 odd ordinal value letters, is also 25 squared, which itself is the sum of the first five of those letters. This makes the number 25 the 4th root of the Torah’s total number of words, letters and verses. The reason this is significant is that the average of the first 25 prime numbers is exactly 42.4, yet again the numerical value of Moshiach Ben David and also the sum of all 22 Hebrew letters (424.242). Moreover, 25 x 4 = 100, which is the sum of the small gematria of those same 22 letters, while the 100th Prime number is the number 541 (Israel) and the numerical value 541 is found 625 times in the Torah. This ties together very nicely, but only if it were designed that way.
Of course, this would have had to have happened several thousand years before the Israelites supposedly started using the decimal system, except that much of what we discussed above does not work unless the decimal system is used.
So yes, it could only have been designed this way, and it had to have been designed this way from the actual Creation of the Hebrew Letters and from the assigning of their numerical values. This was designed even before the Torah was designed to integrally incorporate them in every way imaginable. The question that remains is why?
Part III The Phi Split
Let us return to viewing this essential odd-even split in the alef-bet as a proportion. We can draw them as two adjoining segments on a line, two adjacent rectangles, or even as we have represented them in the 3-d bar graph below. The important thing is the proportion, not the shape that is being split apart; it is the relationship between the two shapes.
We know that the odd set is 72% of the even set and that the odd set is 42% of the whole set of letters. Mathematically, we write this as a : b = .7180 and a : c = .4180
b : a = .7180
b : (a+b) = .4180
What is this reminiscent of? The Golden Mean, Phi().
b : a = .6180
a : (a + b) = .6180
The relationship between the segments a to b and between the segments b to (a + b) is highly reminiscent to the harmonic golden mean, the Phi () proportion. Phi() is a mathematical constant, an irrational number that naturally and automatically guides the most efficient and beautiful spiraling growth in the universe. This includes flower petals, seashells, tree branches, the shape of our bodies, our DNA, the galaxies in the universe and several different aspects of black holes. It is not a stretch to say that without Phi() chaos would truly reign in our universe, as will be explained later. For now, just picture your DNA instead of following neat exact double helix spirals, as random knots, or the petals on a flower as a jumbled mess.
Quite simply, the Phi () proportion is such that the small segment (b) is to the larger one (a) as the larger one is to the overall length (a + b). This proportion is called Phi () and is equivalent to .61803399….. The spiraling growth happens by continually dividing the larger segment by .618033…, or alternatively multiplying it by 1.618033…
If we were to apply the Phi () proportion to the 1495 total value of the alef-bet, the subordinate values would be split into 924 + 571 = 1495, where a = 924 and b = 571.
1495 x .6180 = 924
924 x .6180 = 571
Comparing the Phi () proportioned alphabet to the odd-even split we can see that it is an exact
shift of 54 units from Phi () to the Odd/Even split.
625 – 54 = 571
870 + 54 = 924
Why so exact? If we review the proportions, we recall that:
625/1495 was .4180
625/870 was .7183
They are off from Phi (), .6180 by a pretty round number:
.6180 – .4180 = .2000
.7183 – .6180 = .1003
A Connection to Power and the Torah’s First Verse
Oddly enough, when we add the digits in the odd/even split we get:
6 + 2 + 5 + 8 + 7 + 0 = 28
We also get 28 when we add the digits in the Phi() split:
5 + 7 + 1 + 9 + 2 + 4 = 28
And again, when we add the total value of the alef-bet plus the shift of 54 units:
1 + 4 + 9 + 5 + 5 + 4 = 28
Summing up the digits may seem like child’s play compared to the rest of the mathematics we are discussing, yet it is a typical part of Number Theory, which is one of the main branches of mathematics. As will be obvious soon, the number 28 here relates to the 28 letters in the Torah’s first verse. The fact that all three equations, dealing with the four different components, sum to 28 is not slight of hand. There is no reason mathematically for them to work out that way; it must either be a tremendous coincidence or purposeful design. The beauty of Number Theory is that it deals in hard facts and can reveal and/or disprove wonderful symmetries in the framework of our universe.
The same question—a tremendous coincidence or purposeful design—can similarly be applied to the sum total of the standard gematria value for all 304,805 letters in the Torah: 21009826. The sum of its digits (2+1+0+0+9+8+2+6) = 28, the same result (28) that we saw in the equations above. Also, the product of those same digits gives us (2*1*0*0*9*8*2*6) = 1728. Then applying another deeply revealing form of gematria cipher by dividing the above product by the above sum, we get:
4√(P(21009826)/ ∑(21009826)) = 4√(1728/28) = 2.802828
This is not so dissimilar from the square root of the exact number of words in the Torah: 282.8002828
You see, pure facts, just like 2 + 2 = 4, revealing beautiful symmetry. Though this does not prove the existence of G-d, it does go a long way in proving purposeful design, which can be taken as divine intent. Now some scholars in both Number Theory and ancient Kabbalistic gematria studies would go one step further in all these equations and reduce 28 to 2 + 8 = 10, which further reduces to 1 + 0 = 1. More on that later. In case you were wondering, the number 28 is the gematria value for the Hebrew word Koach(כח), meaning “power.”
Here are a couple more pure facts about the total gematria of the Torah. If you recall, we found the square root the total gematria sofit value (33640626) of the 304,805 letters in the Torah is 5800.054, which was astonishing considered that exact collective number of words, letters and verses in the Torah is exactly 58. Nevertheless, the gematria sofit value and the standard gematria (21009826) value are also tied to those of 58 quantitative (or structural) elements of the Torah through its square root, 625, which also represents the proportion 5/8 = .625:
21009826/33640626 ≈ .625 = 5/8.
Moreover, while the sum of the 22 spelled out Hebrew letters is 4248, it becomes 10048 when the final letters are considered in the spelling, in other words exactly (10048-4248) = 5800 more. Oh, and by the way, (3+3+6+4+0+6+2+6) + (2+1+0+0+9+8+2+6) = 58. Did any of this have to work out this way? No. Could it have happened accidentally, by random chance? No. Well yes, there is exactly one way it could work out by random chance and that is if there exists an infinite set of varying universes and we just happen to live in the One that everything concerning our Torah, and as you will soon see, everything concerning our mathematical and physical constants, our mathematical constructs and the dimensions of our solar system also happen to work out with perfect symmetric harmony. Either way, it makes us pretty special.
Nonetheless, back to that first 28 letter verse of the Torah, the first 5 letters (בראשי) of that verse and thus of the Torah have a collective ordinal value, letter placement within the alphabet value, of (2+20+1+10+21) = 54.
Please bear with me as I reveal yet another secret code embedded into the Torah. I know it is out of place, but I just noticed a heretofore unforeseen pattern and cannot contain my excitement. If we plot out the ordinal values of the first 11 letters of the Torah. Notice that it is 11 letters again, and please note that there are exactly 11 unique numbers in that same first verse. A hint in unraveling the Torah encoding is that whenever there is abundant redundancy, someone is trying to communicate a message to us and that it is important enough to ensure we do not miss it. Plotting out those 11 letters, we get:
2,20,1,21,10,22,2,20,1,1,12 and their sum is 112.
First, we combine the letters so you can see what I was seeing:
Then we break them down to natural viable triplets:
2201 21 10 22 2201 112
BRE Sh Y T BRE EL
If because all these letters just happened to work out to 0’s, 1’s and 2’s we can then convert this message from base 3 to base 10, giving us:
73 7 3 8 73 14
Permuting the letters slightly we get:
BRE YSh T BRE EL
Which translates to “G-d created Something, 22”, implying not only G-d Created the 22 letters, but moreover, the deep kabbalistic concept of “Something from Nothing” that we will get into later.
73 7 3 8 73 14 can thus be 73 73 8 73 14
73 37 8 7314 or 73 378 7314
BRE Y – Sh – T BRE EL
We already know that the entire first verse totals 2701, which is the sum of all the integers from 1 – 73 and that 73 is the gematria of Cochma(חכמה), meaning “Wisdom,” and the second highest of the 11 dimensions. That total 2701 also equals 73 x 37.
If we broke the word sequence into its natural triplet sequencing (BRE, ShYT, BRE, EL) we would get (7+3+6+0+2+7+3) = 28, as is also (BRE YSH T = 7+3+7+3+8). Meanwhile, there are 9 digits in (737387314) and 9 divided by the small gematria of the 42-Letter Name is 9/.123049… = 73.141593… combining 73 and Pi to an astonishing degree of accuracy. This 314 is also found in the Torah’s first word, (שית), again as the small gematria value (314). While it is obviously indicative of Pi (3.14…) it is also representative of the Name of G-d, Shadai (שדי) that we put on our doorposts, gateways and entrances. That is all we are going to say about this today, the gateway to Wisdom and Knowledge. Moreover, reinforcing the “G-d Created Something 22”:
2+2+0+1+2+1+1+0+2+2+2+2+0+1+1+1+2 = 22 (letters)
Also, YeSh (יש) in base 6 is 54 and base 8 is 42, while in base 13 it is 28, all very relevant as we will soon see, as is Y- SH-T (י־ש־ת) or 378, the value of the famous phrase “Echad Ushmo Echad (אחד־ושמו־אחד)” or “His Name is One.”
Yet if we kept things simple, and just used the 11 ordinal values as their individual base 10 equivalents, we would get:
B R E Sh Y T B R E E L
2 + 6 + 1 + 7 + 3 + 8 + 2 + 6 + 1 + 1 + 5 = 42
We would have also seen 26, representing the Tetragrammaton (יהוה);
173, representing the small gematria value of the 42-Letter Name and the 173 Keys to Heaven the 1900-year-old Zohar tells us were given to Moses; and 26 yet again. And in all fairness to gematria buffs, 115 is the value of hazak (חזק), the Hebrew word for strength.
We digressed again, and yet it is interesting how this phenomenon of 28 connects to the resultant ratio:
Phi and 54-Unit Shift
The shift between the odd-even split of the alphabet and the Phi() one is exactly 54 units, so reminiscent of the 54 portions in the Torah. Meanwhile, the 54-unit shift represents 5.844% of the larger Phi() split (924), which is so close to the 5845 verses in those 54 portions.
That the Torah’s 54 portions and 5845 verses would be connected to Phi() is not surprising, considering that the first chapter of the Book of Numbers (Bamidbar) is the dividing point in the Torah in terms of the number of letters, the numbers of words, and also the number of verses into the exact Phi() proportion, just like the major and minor twists of our DNA:
Moreover, oddly enough, that first chapter of Bamidbar, where that telling split in the Torah occurs, has 54 verses, a wonderful synergistic connection to the 54-unit Phi() shift. The first verse of the Torah is also split into two sections that incorporate the number 54. We already illustrated a connection between 73 x 37, now we see that the last two words of that verse have a joint gematria value of 703, which is 19 x 37, while the first 5 words have a gematria of 1998 or 54 x 37.
What all these numbers have in common is that they all reduce to One (1).
73 →7 + 3 = 10 → 1 + 0 = 1 (One)
37→3 + 7 = 10 → 1 + 0 = 1 (One)
2701→ 2 + 7 + 0 + 1 = 10 → 1 + 0 = 1 (One)
19 → 1 + 9 = 10 → 1 + 0 = 1 (One)
(54 x 37) → 5 + 4 + 3 + 7 = 19 → 1 + 9 = 10 → 1 + 0 = 1 (One)
(19 x 54) → 1 + 9 + 5 + 4 = 19 → 1 + 9 = 10 → 1 + 0 = 1 (One)
541 (Israel) 5 + 4+ 1 = 10 → 1 + 0 = 1 (One)
424 (Moshiach Ben David) 4 + 2 + 4 = 10 → 1 + 0 = 1 (One)
The number 37 is in actuality 111/3 or the numerical value of Alef/3 so the Genesis 1:1 equation above translates to: Much has been written about the unique geometry of this first verse, though the only one we will mention today is that 37 and 73 are both consecutive 12-gonal numbers, meaning they form a filled in Magen David, Star of David.
The first two Star numbers are 1 and 13–harking back to Echad (One)–of the star number sequence is 1, 13, 37, 73…253…541, 661…. Most fittingly, the number 541, the numerical value of Israel, is the 10th Star number, while the 11th Star number, 661, is the gematria of Ester, the heroine of Purim, in which by the way, there are exactly 54 Hamans, her adversary in the Scroll of Ester. Interestingly, the 7th Star number, 253, is the sum of all the integers from 1 – 22, as in the 22 letters. Moreover, we have already explained that 73 is the value of the sefira Chochma, meaning Wisdom, not we can reveal that 37 is the ordinal value of Chochma, or inner Wisdom, which geometrically makes sense since because the central hexagon within the Star of 73 is 37.
Another connection between 19 and 54 and 73, besides 19/73 = .260, the numerical value of the Tetragrammaton (יהוה), is that 19 of the 54 portions of the Torah begin with a word that has either a gematria value, or an ordinal value, of 42. One final redundant connection is that 54 is the sum of the small gematria of the first 5 words of the Torah, while the next two words of the 7-word first verse is 28. The first word is 13.
Before we return to the relationship between the alef-bet and Phi proportions, there are two more equations at the heart of the Torah that establish the indelible connection between Phi and the Torah and illustrate the degree of precision and intent that went into designing the Torah. As first revealed in The Genesis Prayer:
If we add the 248 columns in the Torah and the actual number of total rows in the Torah (248 x 42 rows/column less all the blank rows) to the total words, letters and verses, we get a total of 401273 for the 5 separate written divine elements in the Torah, and:
Why 248 and 248,000? We do not know, except that 248 is the gematria of Abraham and the sum of the Hebrew Names of each of the 5 Books is 2480, and that there are 248 columns in “The Torah(התורה)” of numerical value 616, whose square root is 24.8…. Maybe it is another way of pointing us in the direction of the 3 portals (1st Shema verse, 1st Torah Verse and 42-Letter Name), whereby 10,000 – their sum (1118 + 2701 + 3701) = 2480 yet again. Moreover, it may be connected to the fact that 2480 = 620 x 4 and that 620 is both the numerical value of Keter(כתר), the highest crowning sefira (dimension), and is representative of the 620 letters in the 10 Commandments, the high point of the Torah. Or maybe it is a deeper way to illustrate to us the connection between the Phi based E 8 Lattice of 248 dimensions and the 58 Torah elements.
Since we have shown that all Torah knowledge tends toward and point to Alef (One) it is not surprising that 248/√5 = 111 (Alef), especially considering that the square root of 5 is the key component in Phi. And along those same lines, 8/√5 = 3.58, as in the numerical value of Moshiach (358), the Anointed One.
The word for Name in Hebrew is Shem (שמ) and as we keep circling back to the importance of the connection between the 42=Letter Name, the Torah’s first verse and the Shema, it is noteworthy to mention, as Danny recently showed me, that the sum of the 4 Shins (ש) and 4 Mems (מ) in the Torah’s first verse and in the Shema’s first verse equals 2480, so the 8 Letters = the 5 Names. Always symmetry, always redundancy, always a reason—it is our job to find it.
Coupled with Name in Hebrew, Shem (שמ), the letter Hey (ה) of numerical value 5, turns Shem into Hashem(השם), referring to G-d. The 5th Name of the 72 Names (Triplets) is (מהש), a permutation of Hashem(השם) and of Moses(משה), as in the 5 Books of Moses. The 5th word in the Torah, H’Shama’im (השמים), meaning Heaven, begins with Hashem(השם), so Heaven can be interpreted as the Sea of Hashem. Five (5) x 345, the numerical value of Hashem and Moses is 1775, the total gematria of the 27 letters of the Hebrew alphabet when the 5 final letters (ךםןףץ) are included. This is also the reason why Moses was accused of stealing the 1775 shekels collected for the building of the Mishkan in pasha Pekudei.
The association between 5 and the 5 Books of Moses and the 54-unit shift and the 54 portions of the Torah is deeper than just being integrated design elements meant to show off the Torah’s Creator’s knowledge of mathematics and the universe. It has to do with how the Torah is split up, or partitioned, which we’ll get into shortly. For now, just keep in mind that every Torah element must be divided 5 ways and also 54 ways.
Part IV: Time Out For Pi
In There’s Nothing Random in the Universe we revealed much about Pi, the primordial mathematical that converts straight lines into circles and spheres, and makes our existence possible. Here is one more simple way which relates it to the Torah and to the letters of the alef-bet. If we break Pi 3.14159265358979323846264338327…) down to 3-digit numerical strings—triplets, like we saw in the 72 and 42 Name matrices–we get:
Then when we add the 1st, 2nd, 5th, and 6th strings, we get (314 + 159 +979 + 323) = 1775.
(314 + 159 +979 + 323) = 1775.
(846 + 264 + 338 + 327) = 1775
(314 + 159 +979 + 323 +846 + 264 + 338 + 327) = 3550
Together these 8 strings etched into the fabric of the universe add up to 3550, the same numbers found in the Torah verses from Pekudei 38:25-26, “The silver census money (collected from) the community came out to 100 talents and 1775 shekels by the sanctuary standard. This consisted of a beka, which was half a shekel by sanctuary standards, for each of the 603550 men over 20 included in the census.”
The only two(2) of these ten(10) first Pi-triplet strings are not included above, the 3rd and 4th ones, total (265 + 358), which equal 623 + 2 for the kolel, making 625 once again. Moreover, while 265 is a permutation of 625, the string 358 is the gematria of Moshiach.
Two(2) out of ten(10) juxtaposed with eight(8) out of ten(10), could there be a reason?
Could it be that while 2/10 + 8/10 = 1, the reciprocal equation is 10/2 + 10/8 = 6.25. This revelatory property of the reciprocal relationships will play an even larger role in the next section. For now, we can acknowledge that inadvertently or not, the universe has found a way to relate in a single super simple equation the base 10 (10-dimensional system), the 28 letters of the first verse of the Torah, the square root of the entire Torah (625) and One (1).
2/10 + 8/10 = 1 and 10/2 + 10/8 = 6.25
By the way, the 3rd triplet in Pi, 265, divided by 424 (Moshiach Ben David) is 265/424 = .625, yet again. Meanwhile, the 2nd Pi Triplet, 159, is the small gematria value of the upper 42-Letter Name of G-d, also known as the 42 Letters of the expanded ineffable Name of G-d, the Tetragrammaton (יהוה), and the 3rd Pi Triplet is comprised of 26 and 65, the values of the Tetragrammaton and its pronounceable counterpart, Adonai. Moreover, their sum (159 + 265) = 424(Moshiach Ben David), while the sum of the square root of 2 and the square root of 8 equals 4.2426…
One more fact concerning the relationship between the 1st Pi triplet, 314 (Shaddai) and the 4th one, 358, Moshiach. Remember the equation 401273/Phi = 248000 and how 401273 was the sum total of the Torah’s 5 structural elements—the words, letters, verses, columns, and the rows, well look what happens when we divide 358 by 314:
And speaking of 11, the 7th and 8th Pi Triplets (846 + 264) = 1110 or 10 x 111, the Hebrew letter Alef (א).
Nevertheless, we remind you that the above equations are pure math and 401273 is a pure quantitative, non-arbitrary number, and neither Pi nor Phi have anything do with gematria codes or deciphering—they are just numbers. Gematria just adds a layer of understanding for us, the same way it did for the ancient sages before us. In other words, the numbers themselves are working out to, breaking down to, and converging on a specific narrow set of numbers at key junctures. This has the desired effect of focusing our attention on those numbers. The translation of those numbers into Hebrew is solely based on their mathematical assignments based on their location on an exponential scale that set their values from 1 to 400. This is far from arbitrary and it was created long before Man was capable of making those exponential calculations. Hence the values are automatically and unequivocally translated into specific Hebrew letters without any possible manipulation by me or Man in general. The words or Names that are spelled out by these values and letters have been assigned to them thousands of years ago, either because that is exactly how they appears in the Torah or by divine inspiration of the Patriarchs, tzaddikim, prophets and sages. I repeat, there is no manipulation of the numbers, values, letters or words; this is exactly how they play out under the magnifying glass and the microscope.
Yes, we are focusing our attention on specific numbers and areas and ignoring others. This is because we are focusing on the most obvious, the most concrete, and the narrowest set possible. We could easily point out that 401,273 is the combination of the 4th word of the Torah, and at 2622 occurrences, the most numerous word in the Torah, Et (את), containing the specific letters that represent that exponential scale that set their values from 1 to 400, with the number 273, which is the gematria value for the word “gematria” itself. We could have also focused our attention elsewhere in Pi, maybe 100 million digits deep, and I am sure there is juicy stuff buried there, but we have narrowed our parameters to the first 1000 digits because they correspond to the letter Alef (א), representing the beginning. And within those 1000 digits, there is book of material to write about, yet we are primarily focusing on the first few digits, because if there was indeed something there it would be in the beginning. After all, it was “In the Beginning,” that G-d created Heaven and Earth. This is also why our primary focus concerning the Torah in this paper is narrowed down to the first few words, along with their relationship to the overall quantitative dimensions of the Torah. We could easily write an article about just about any verse in the Torah and have already done so about many of them, not to mention numerous and much more profound volumes written long before us. Again, our goal is to get to the source, not to explore indefinitely every branch and root, and as such we are primarily focused on the seed level of all things. If we keep finding a redundancy of the same information presented different ways ad nauseum it only proves and strengthens our thesis that everything has been designed this way for a reason. As we continue to tie in more and deeper relationships between what should have been disparate parts and find more nuances in these relationships, the reason should become clearer.
Truthfully, all the equations in this document, while they admittedly seem complex and complicated to a lay person, they are simple ones to a mathematician. The truth is they do not need to be any more complicated than they already are, which is not to say that the deeper anyone digs, more complex mathematics and physics will be revealed, because it will. All we are saying is these revelations were meant to be found and revealed in our generation, the first one that had the capacity and technology to easily calculate them. To be clear, we are also saying that truth is always simple. The problem is we live in a world of illusions and cannot often see the truth for what it is.
It is pretty obvious that since a very close approximation of Pi can be derived from the first verse of the Torah and directly from the 42-Letter Name, and with what we have just illustrated above, it is also clear that whoever created the Torah and the alef-bet also created Pi as well, or at least was very familiar with the first 30 digits at a minimum.
Both these next two equations and many more can be found in The Genesis Prayer and in numerous other articles we have already presented.
The equation above represents the number of letters in the Torah’s first verse over the number of words in that verse, which gives us the ratio 28/7, which in turn equals 4, as in the 4 letters of the Tetragrammaton(יהוה). More on that later. Then we multiply that result (4) by the product of multiplying all the gematria values of each of the 28 letters and then divide it by the product of multiplying all the gematria values of each of the 7 words, which gives us Pi to 5 decimal places of accuracy.
The second equation is found by simply dividing the number 9 by the numerical string formed by the 42-Letter Name of G-d. It gives us 9/.1230490… = 73.141593 or 70 plus Pi (3.14159265), precise to 6 decimal places, a degree of accuracy close enough to reach the moon within 441 feet without corrections. NASA uses all of 15 decimal places when calculating how to reach the edge of our solar system within 2 inches of accuracy.
And we just saw above how the first 30 digits worked out to the sum of the 27 letters of the Hebrew alphabet in multiple simplistic straight-forward ways. We also mentioned earlier that the sum of the square roots of those 27 letters was exactly 424.242, and that that digit string …242424242…, is the longest repetitive sequence in Pi to have a matching location, digit #242424. So it is worth mentioning that yet another notable Pi-triplet, 424 is found at digit# 1110 in Pi, or Alef(111) x 10, just as we saw with the 7th and 8th triplets in Pi. Curiously, it is wedged in between the number 72 and 541 (Israel): …72424541… You can draw your own conclusions. This is an observation, not a mathematical proof. And speaking of the number 9, as in the equation above, it is not only the longest repeating single digit string in Pi …999999… within the first 150,000+ digits of Pi, it is also found within those first 1000 digits of Pi. We have already calculated billions upon billions of digits of the infinite digits of Pi and anything can eventually be found within them; nevertheless, when we extend our search parameters beyond a set natural and spiritual boundary like 1000, it does not mean that what we find does not have significance, it just means that it is not so statistically relevant.
What is relevant is that we can only have one first of anything, and the first repetitive two-digit string within Pi is the number 26 as in the Tetragrammaton(יהוה) found at digits #7 and 22, and as every school age child is taught: 22/7 = 3.1428… (Pi).
We have just seen the first triplets in Pi ordered to serve, and the first duplicate two-digit number as well, so how fateful is it that there are exactly 42 duplicate 4-digit numbers in those first 1000 digits of Pi! The last 3 of those duplicate 4-digit sequences are in order of occurrence, and coincidently of prevalence: 5778, 4201, and 9999, which add up to (20,000 – 22). They also make up the triplicate 4-digit sequences of 5778; and also of 2019 as 4201 is part of the duplicate 5-digit sequence 42019 sequence; and finally the triplicate 9999 is part of the unique 6-digit sequence 999999, the very last one.
42 Duplicate 4 -Digit Strings
At this point, some would say the unique 6 – 9’s represents 6 x 9 = 54, reflecting the 54-unit shift. Others will point to 2019, this year, being the 22nd duplicate as significant as well. Still others will add that the sum of the digits (5+7+7+8+4+2+0+1+9+9+9) = 70 give the Divine Calendar is purposeful as well. You decide.
Whether you are starting to see your own symmetries or not, that last string of the 42 duplicates is found at digit #763 and the sum of the gematria of the first column of the 72 Triplet Names is 763, which might be overlooked if the second to last of the 42 duplicates were not found at digit #702 just like the sum of the gematria of the 9th row of those same 72 Triplet Names. That is the same 72 Triplet Names whose square roots summed to 1000.054
We can understand now the importance of reading and hearing the Torah in the original unabridged Hebrew form. The formulas embedded into it were not put there for our curiosity, but for our benefit. They form a technology we cannot yet grasp, but like the circuitry in the device you are using to read this and the algorithms in the software that is bringing this to your device you do not need to understand them to benefit from them. And just like that device, it is totally useless to you if you do not turn it on and engage with it. And to complete that analogy, the more you do learn about the technology and the more you do engage it, the more power is at your fingertips.
Part V G-d Is One
The Torah is a 248-column x 42-row matrix, just like the 6-column x 7-row 42-Letter matrix that the kabbalists tell us acts like a remote control to it and just like the 8-column x 9-row 72 Triplets matrix. We saw earlier the precision of the sum of the 72 square roots and the sum of the 9 rows of the 72 square roots that together totaled 1000.054 and we are beginning to understand that that tiny remainder of .054 was left on purpose to match the Phi shift, etc. Now we must explain that in kabbalistic gematria 1 = 1000 because the word for 1000 in Hebrew is elef (אלף), which is the same as the word for alef (אלף), the first Hebrew letter with numerical value 1. The difference between the two words is only the vowels, a series of dots and dashes that are not written into the Torah. The hint here is the 72 Name matrix is to be taken as a whole, as One, and not utilized as individual Names. It would be like breaking off a piece of your cell phone and trying to text a friend with it.
Does this total of 1000.0 connect in any way to the 1000 letters of the Shema prayer? The answer must be yes. Since the purpose of the Shema is written right into its first verse with “YHVH Echad,” G-d is One.
The Hebrew word echad (אחד) means “One” in English in every sense of the word: One as a wholeness; One as in Unity; One as in first; and One as in the numeral 1. The Hebrew word echad (אחד) has a numerical value of 13, the same as Ahava (אהבה), meaning love. The relationship between 42 and 13 is special. Spiritually, it is extremely deep and profound, and numerically it illustrates that 13 can represent 1, and that the choosing of which letters comprise which words was never arbitrary. When we take 1/42, which we will see later is also the soul root of the Israelites, as per the Arizal, we get:
Then when we take the number 13 over 42, we get:
With the repeating sequence 238095 in both decimal results, clearly this relationship between 13 and 42 is not casual. And given the ratios in the Alef-bet splitting and the Torah dynamics around 58, the relationship between 42 and 72 cannot be casual either, since 42/72 = .58333, which equals approximately (1 – .42):
Simplifying 42/72 by removing the factor of 6 from both numbers, the fraction and resultant equation reduces to 7/12 = .58333, which equals approximately (1 – .42). This is significant because as will be explained in greater detail shortly, the 22 Hebrew letters are broken down, according to Kabbalistic texts dating back thousands of years, into specifically 3 Mother, 7 Double, and 12 Elemental Letters.
As for those 1000 letters in the Shema and perfect 1000 sum of the 72 square roots, it just so happens that 22, as in the 22 Letters, in base 2 is 1000.
We are going to briefly explain about those 3 Mothers, 7 Doubles, and 12 Elementals Letters and how their simple partitioning of the 22 Letters into 3 sets reflects Pi, the 54-unit shift, and 13 as One concepts. Simply speaking, (3 + 7 + 12) = 22 and therefore 3/22 + 7/22 + 12/22 = 1.00. Everyone learns in school that 22/7 is the smallest whole number approximation of Pi, 3.142857… what is not so obvious is that 7/22 = .3181818, and that 318 represents the 318 men Abraham took to fight the battle of the 5 Kings vs 4 Kings and as Rav Azulai of blessed memory points out in his 16th century book, Chesed L’Abraham, 1818 is the value of the 3 iterations of the spelled-out letter Alef(א), or One(1), using the same method we saw with the Upper-42-Letter Name expanded from the Tetragrammaton (יהוה).
Kabbalists, using the Hebrew letters with their inherent exponential values have been using iterations for hundreds and even thousands of years. These iterations are what mathematicians call Infinite Expressions, another important branch of mathematical studies, which we will use later to illustrate how Phi is infinitely related to One (1). When we freeze an infinite series at a particular iteration, we are taking a partial sum of that infinite series. There can be many reasons for this, though the Kabbalists generally freeze the expressions at 3 iterations, mostly for spiritual reasons, including the 3-column system that the 10 dimensions of the Tree of Life are connected through, reflecting the 3-prong balance in the energy forms we call matter in our 3-dimensional physical universe. This is also why some of the divine Matrices are based on Triplets, and why the Hebrew alphabet can be divided into 3 sets of specific Letters.
The connection between 12 and 22 is much more obvious to us, as 12/22 = .545454…, a simple representation of the 54-unit shift we found in the 22 Letter two-part split. And finally, 3/22 = .13636363… with 13 coming up again. This time loosely connected with 363 the numerical value of H’Moshiach. The much deeper connection between 54 and 13 will be established later in this paper.
Speaking simply again, (3 + 7 + 12) = 22 and this time 22/3 + 22/7 + 22/12 does not equal 1, nor 22. We already discussed Pi (22/7), so 22/3 equating to 7.333… can be see as representative of 73, while 33 can be anything really. Remember, these relationships are not proofs unto themselves of anything, yet it is interesting how they keep revolving around one another. The final pairing, 22/12, is special and helps us reveal a very deep Kabbalistic secret about the 42-Letter Name never publicized before. 22/12 = 1.833… The 42–Letter Name has a total gematria value of 3701, or precisely 1000 more than the Torah’s first verse (2701). At the midpoint of the 42 letters, right after the 21st letter and just before the 22nd letter, the total gematria is 1833, which not only matches 22/12, but also matches the 1833 times the letter Samechs(ס) appears in the Torah. The letter Samech (ס) has a numerical value of 60 and when we add that to 3701 we get 3701 + 60 = 3761, or the year “0 CE” in the Western calendar, matching the Hebrew calendar year 3761 HC. More about this later in the paper. For now, just suspend your disbelief; it is not a coincidence.
Then as if to tell us that this connection to the 42-Letter Name is appropriate here, we see that 22/3 + 22/7 + 22/12 = 12.3095238095 or 12 plus .3095238095, which as we have just seen is the decimal equivalent of 13/42.
Remember what we just said about the value 60 being hidden in the center of the 42-Letter Name, well, when we further compare the relationships of this ancient 3-way partition of the 22 letters, we see that 22/3 – 22/7 + 22/12= 6.0238095… or 60 with 1/42.
Finally, let us not forget that:
(3 + 7 + 1 + 2) = 13 (אחד)
The 3 Mother letters, Alef (א), Shin(ש) and Mem(מ), have a special relationship to Phi and the Torah elements. One such example is found in the equation: (א x Phi-1) + (ש x Phi) = 187.028, the 187 chapters in the Torah and the 28 letters in the first verse. Another example is (ש x Phi-1) + (ש x Phi) = 670.820 with 670 being the number of paragraphs in the Torah, and 820 being the value of the verse Levitcus 19:18, paraphrased as “Love they neighbor as thyself,” said to be the essence of the entire Torah. It is also more fully, 670.8203… giving us 708 as the gematria of the upper 42-Letter Name and 203, the first 3 letters of the Torah too.
A Deeper Purpose to the Shema
The purpose of the Shema is to bring it all together for us, with referenced connections to the 72 Triplets through its two paragraphs of 72 words each; and to the 42-Letter Name and the 42 rows of the Torah through its first 42-word paragraph; and to the 248 columns through the 248 words in the Shema, and especially though its 6-word 25-Letter first verse. For starters. the sum of the 1st and last word of the Shema’s first verse equals 424 including the kolel for 1 (echad).
It gets much deeper than that and the coding much more profound. There are 13 words—the gematria of echad (אחד), One—in the first 42-word paragraph pf the Shema that have the initial letter Vav (ו). Then there are 42 more of them in the rest of the Shema, for a total of 55. There are also exactly 42 words in the Shema that have the initial letter Alef (א). The letter Vav (ו) spelled-out is vav-alef-vav (ואו) of numerical value 13. More about how to use the Shema as a portal later, for now we want simply to establish its designed relationship to the concept of One (1) and the sequential numbers: 13, 42, and 55.
We are about to see the special significance to the sequence 13, 42, and 55, but first let us use a gematria variation on Number Theory to see how they are related. Using a little known but very revealing gematria cipher we can take the product of (13 x 42 x 55) and divide it by the sum of (13 + 42 + 55) and get 273, the gematria of the word “gematria.” It is also the value of Absolute Zero, c. If you think there is the slightest coincidence in this, please review our paper on Time and the surprising mathematical structure of our solar system or on Science, Theology and the Future Holy Temple. We are way beyond coincidences and as we will soon see, about to enter the Twilight Zone of mathematical import.
The article Et(את) before a word in the Torah increases its importance and significance, as in the role it plays in the Torah’s first verse when it appears before the word Heaven. The numerical value of the article Et(את) is 401, so we could interpret the 401,273 basic elements of the Torah as a visual amplification of the significance of “gematria.” In other words, it may be a hint that we should pay attention to it. It is also at 273 degrees Kelvin where water freezes and –273 degrees centigrade is Absolute Zero, where all movement in the universe ceases completely.
Time to Ring the Bell
Part VI, Section a
Since the Torah has highlighted and documented this set of specific numbers, lets see if there is a mathematical correlation between them and the cosmos beyond the quantitative borders of the Torah. Once again, Number Theory provides evidence that the choice of these particular numbers might be proof of a coherent intentional and intelligent design. This proof would illustrate deep knowledge of the mathematical underpinnings of the universe and show us how to connect to it.
Besides utilizing the constants what could an advanced intelligence program into the Torah prove such asserted deep knowledge?
The answer is found in Bell Numbers.
Bell Numbers have to do with partition theory. They represent the number of ways a set of elements can be partitioned (divided or split) into non-empty sets. This connection makes perfect sense as we began our discussion with the partitioning of the 22 letters into two sets of 11 elements each. Then later we revealed some deeply hidden clues by partitioning the first 11 letters of the Torah into core syllables while translating them from base 3. In a sense, the Torah is one long 304,805-letter Name of G-d partitioned into words, verses, chapters, paragraphs, portions, all with purpose and meaning.
As we will see soon, all the key Torah elements can be split in two in very specific ways to reveal important information. This includes the 304,805 letters of the Torah, which can be partitioned into two sets: one of 300,000 elements, and the other with the 4,805 letter Pe’s (פ) that recur in the Torah. Think about it: Not only was the Torah arranged so that it would work out to a precise 58 elements, but also that 21 of its letters would add up to exactly 300,000 with the letter Shin (ש) of value 300 being the 21st Hebrew letter.
The connection to the 4,805 letter Pe’s (פ) in the 304,805 letters is obvious. The connection to the letter Shin (ש) of value 300 or the remaining 300,000 letters is a strong one. So why? Is there something conveyed to us through this connection to the letter Shin (ש) of value 300 and it being the 21st Hebrew letter?
There are several Names of G-d contained in the Torah, yet of the 22 letters, the letter Shin (ש) is the only one that can be said to represent one. And not one, but four Names of G-d:
– There are several well established gematria ciphers dating back thousands of years. After the standard one we outlined at the start of this paper, the next most commonly used one is gematria atbash, in which the value of the letters are the exact opposite of the standard values with the letter Alef(א) worth 1 transforms into the letter Tav (ת) and now worth 400. Using gematria atbash, the Tetragrammaton (יהוה) transforms into another form of the Tetragrammaton(מצפצ) of numerical value 300. By the way, using gematria atbash the Name Ehyeh (אהיה) of value 21 becomes the Name (תצמצ) of numerical value 620, that of Keter, the highest level.
– The Arizal often equated Elohim(אלהים) with 300 because 300 is its value when the 5 letters are spelled-out.
Is it just hyper-efficiency that utilizes every letter and quantitative number in so many telling and revealing ways? Or are we just seeing glimpses of complex schematic diagrams of technology that we do yet comprehend?
Regardless, the 304,805 letters in the Torah represent 78.0% of the 390,625 words, letters, and verses in the Torah. Conversely, this means that the words and verses of the Torah represent 22% of those 390,625 elements, apropos considering there are 22 letters in the alphabet.
We have already seen some mathematical constants and some complicated calculations linked to the Torah, enough to prove it was created by an advanced intelligence and not our ancestors. So we know that that intelligence did not originate on Earth. We could take the Torah then at face value, which says that G-d Created it. Regardless, before we go inward into the depths of the Torah, we can at least assume that whoever did create the Torah also at a minimum knew about the physical modeling of our universe. If so, might He also build some of those modeling ratios and/or dimensions into our fixed Torah numbers? This would further demonstrate proof of intelligent design.
As it turns out, squaring the 304,805 letters of the Torah gives us the average distance from the Earth to the Sun, 92,955,807 miles, within 80 letters of accuracy. Given the Earth’s elliptical orbit around the Sun at 66,600 mph this is well within an acceptable range. It is also remarkable that this nearly 93-million-mile distance is off by precisely 80 letters, the value (80) being that of the letter Pe (פ), which was highlighted by the 4,805 letter Pe’s (פ) of the total 304,805 letters. It is almost as if the universe was proving its own point.
That great distance is measured in terms of the speed of light as it travels from the Sun to the Earth called an Astronomical Unit(AU) and we have made all distances in our solar systems a multiple of it. Given that 173 is the small gematria of the 42-Letter Name, how odd is it that Man calculates the speed of light as 173.1446326847 AU/day and the distance from the Sun to the Earth is 1 AU. And let us not forget that nine (9) divided by the same 42-Letter Name spelled out is 9/.1230490… = 73.141593, quite similar to 173.1446326.
This distance in miles works out to a standard 149597870700 meters, a possible reference to the sum of the 22 letters, 1495, while in miles the speed of light is 670,616,629.424 mph…., reflecting the 670 paragraphs of “The Torah” of numerical value 616 and 424, Moshiach Ben David.
Beyond our solar system Man measures distance in light-years, the distance light travels in one year. The distance from Earth to the nearest star is 4.2 light years away. Larger distances are measured in parsecs of 3.26 light-years each, which makes that same distance to the nearest star, proxima centauri 4.244 parsecs. Perhaps, once we better understand the schematics, we will better understand the universe we are in. Our options of understanding are the following: 1) Ignore these relationships and assume they are just coincidental; 2) Figure that whoever created the Torah knew the dimensions of our solar system and the speed of light, etc, and moreover that He knew that Man would eventually after thousands of years adopt the specific time keeping and measuring systems that we actually did, in other words that He either knew our future or seeded it along the way; and option 3) Assume that whoever Created the Torah created everything.
Partitioning the Letters
Let us get back to earth and dig deeper into the Torah. In general, in this paper, we are talking about sets or groupings and different ways to partition (split them up) them. We could group and partition any of the Torah elements and get absolutely fascinating results that defy logic, unless logic tells us they are adhering to some model of purposeful design, perhaps a circuitry of sorts, or a network. For example, each letter in the Torah is found a specific and defined number of times, like the set of all Pe’s (פ) in the Torah, and when we partitioned them into two sets, we got one set of 300,000 letters and the other with the 4,805 letter Pe’s (פ). Of the remaining 21 Letters, exactly 90,100 of them comprise the set of Yuds (י), Heis (ה), and Vavs (ו), the component blocks of the Tetragrammaton (יהוה). These 3 important letters comprise 30.03330% of the total set of 300,000 letters, which is oddly reminiscent of the 3003 gematria of the Torah’s first 33 letters, which equaled the sum of the integers from 1 to 77. What is more astounding about that set of 90,100 letters is that it is the sum of the integers from 1 – 424, the numerical value of Moshiach Ben David.
Speaking of 3003, if you recall, when we first compared our original odd-even alef-bet split to the phi one, we saw that they were off by a pretty round number, which had hinted at the use of phi in the first place. Knowing what we now know, it makes sense that collectively the two splits were off from each other by .3003
Odd/Even Splits 625/1495 was .4180 625/870 was .7183 They are off from Phi (.6180) by: .6180 - .4180 = .2000 .7183 - .6180 = .1003 .3003
Each time we divide the remaining letters into new groupings we are separating them into subsets. We will break that subset of 90,100 letters down into further subsets, but first let us examine the relationship between this tiny subset of 33 letters and the completely separate one of 90,100. Somehow, dividing the sum of the digits from 1 – 424 by the sum from 1- 77 yields 30.00333000.
If we want to bring prime numbers into this, or better said, if we want to see how prime numbers were woven into this equation since the Torah’s inception, we have to look no further than the face that the Torah’s first 33 letters, which equaled the sum of the integers from 1 to 77 are also the Torah’s first 8 words. The sum of the first 8 Primes (2 + 3 + 5 + 7 +11 +13 + 17 + 19) = 77.
Then when we divide the two resultant values by each other, 77/424, we get .18160377358… There is much to parse in this long fractional number, though 181 is relevant enough: as 181 is the 42nd Prime Number; and 181 is also the sum of the first 42 digits in the set of Prime Numbers; and as we will soon see the 42-Letter Name is directly related to those 90,100 Yuds (י), Heis (ה), and Vavs (ו) that gave us the number 424.
Moreover, while the sum of the digits through 181 (the 42nd prime) is 378, and 378 is the gematria of the famous palindromic phrase “He and His Name are One (Echad Usho Echad)”, which we will also discuss shortly, when we add the 42 to 378, we get 378 +42 = 420. This seems all the more relevant since there are 181 digits in 111! (factorial) and 111 is the numerical value of alef(אלפ), One(1), where it all begins.
Is there any specific reason why the Earth is exactly 111 Moon diameters from the Sun in its average orbit?
Then again, if we were to add the relevant number 42 to 181, we would get 223, which is the difference between the 603773 in the result .181603773.. and the census taken in in Bamidbar 1:1 – 4:20 that gave us 603550 men counted.
This last point will become much more significant later in this paper, though for now, 181 is also the sum of two consecutive squares in that 181 = 92 + 102, reflective to be sure of the 90,100-letter subset we started with. What is being shown to us is that there is strong relationship between the numbers 77 and 424 and this somehow ties into the concept of an Anointed One. What we are about to see is how the Name of G-d (יהוה) also ties in.
So now let us divide that important 90,100-letter subset of Yuds (י), Heis (ה), and Vavs (ו) into the 7280 Yuds (י), Heis (ה), and Vavs (ו) that we utilized to construct the actual 1820 Tetragrammatons (יהוה) in the Torah. Before we go any further, we need to note that the numerical value of each Tetragrammaton (יהוה) is 26 and that the higher Name Ehyeh(אהיה) is found only 7 times in the Torah, yet when we divide 1820 by 7 we get exactly 260 or 26 x 10. There are exactly 260 Tetragrammaton (יהוה) for each Name Ehyeh(אהיה). Moreover, when we divide the numerical value of the Tetragrammaton (יהוה) by the numerical value of the Name Ehyeh(אהיה) or 26/21, we get 1.238095…, which should set off alarm bells. This was the same 1/42 remainder we saw with 13/42 and with the two partitioning equations of the 22 letters into the 3 Mothers, 7 Doubles and 12 Elemental letters. Only this time, this derivative of 42 is paired with the number 1.
Stop right here. The 3 most powerful Names of G-d are integrated into a single super simple equation. Yes, it breaks down to simple arithmetic but not if you use the Names rather than the numerical values that represent them:
Back to the 7280 Yuds (י), Heis (ה), and Vavs (ו). That the number 7280 came up again as we saw with the 72 Triplet square roots and with the 7-word 28-letter first verse of the Torah is significant, as is the sum of 7280 + 1820 = 9100, yet again a reflection of our 90,100-letter subset, keeping in mind these latest subsets are describing nothing less than the ineffable Name of G-d (יהוה). When we listen to the Torah and the reader gets to the unpronounceable Name (יהוה) he says “Adonai” and there are exactly 91 Adonai’s (אדני) in the Torah, matching the sum of the numerical value of Tetragrammaton (יהוה) and Adonai (אדני) together (26 + 65 = 91).
For much more and much deeper work, including how the first word in the Torah, when spelled out also equals 1820 on this subject see Choose Redemption Now.
By the way, those 187 chapters, 670 paragraphs and 54 portions add up to 911. There may be another way to dial for emergency help beside your phone. Interestingly, when we divide the three(3) main written elements of the Torah by the three(3) main formal partitioning elements of the Torah in order of size, we get : the number of verses 5845 divided by the 54 portions; and the 79975 words in the Torah divided by the 187 Chapters; and the 304805 letters divided by the 670 paragraphs. The result of these three divisions (5845/54 + 79975/187 + 304805/670) and add (187 + 670 + 54) divided by 102 is 999.96 or 1000 yet again.
The numbers themselves convey information to us, but it is the relationship between them that is really important. Your parents are important as individuals, but to you it is the fact that they are your parents that really matters, your relationship to them. In mathematics, relationship are called equations. As such, we see that there is a binding relationship between the 670 paragraphs, 187 chapters and the 54 portions that leads to Moshiach:
We can also note that 670 – 54 = 616, the numerical value of “The Torah.”
A much more interesting and revealing equation is found in the simple relationship between the 248 columns and the 670 paragraphs:
The 42 Letters of the 42-Letter name add up to 3701 while the 28 Letters of the Torah’s first verse add up to 2701. Now that a significant relationship has been established, we can use gematria to connect a few more dots. For example, in 2701612903, the triplet 612 is the gematria value for the word brit (ברית), meaning covenant, and 903 is the sum of all the integers from 1 – 42. Since we know the 42-Letters of the Name are derived from the first 42 letters of the Torah we can see how one message embedded in this relationship is that the Covenant of 42 is found in the first verse. Moreover, now we can understand the relationship between the 1000 letters of the Shema and the 248 words of the Shema since 3701 – 2701 = 1000.
A Parting Gift
Of course, there are all sorts of ways of partitioning the Torah. We have only to look and we will find them. There is a saying in Kabbalah that when the student is ready the teacher will come. This refers to the personal training and connection one must make and is why it was has always been taught with a few notable exceptions one-on-one and not through mass marketing. We should make the disclaimer here that we are not teaching Kabbalah in these articles, we are revealing the Torah and the universe in a light that penetrates the darkness of the illusions. We use transparently use certain kabbalistic tools to help make those revelations and in so doing help others to use them to. The teacher-student relationship is the one you can make with the Torah, learning and downloading deep ancient knowledge directly one-on-one, passed down directly not through new age aphorisms.
That said, let us peer into the Torah and get a glimpse of what it can teach us through yet another partitioning. If we partition those 187 chapters into its first 3 and the remaining 184, which is also the same as separating the 670 paragraphs into the first 11 paragraphs and remaining 659, we find that they end precisely at the pivotal moment with Man being kicked out of the Garden of Eden. Up to this this natural and momentous breaking point in the Genesis narrative there are exactly 4213 letters. It may be a message to us of what we will need to survive, 42 and 13, or what we need to get back in?
Moreover, these 4213 letters end as they begin. Of its final two words “(עץ־החיים), Tree-of-Life”, the last word has the gematria value 73, just like the its first verse (Σ1- 73).
Even while accepting infinity as a concept, we look at our universe as finite with everything that is in it as given and fixed. We were given Pi, Phi, e, the mass of the particles, etc. Yet from a higher dimension our universe is a block of clay, or a computer program where everything can be molded or changed at will. The digits of Pi or any so-called constants can be moved around, rearranged and messages or “tags” inserted. Even our most brilliant abstract thinkers are staying inside the box, the tool box, creating by using the tools in the box that we were given. There are tools outside the box that do extraordinary things, things we call miracles, things that bend and shift our reality, and things that can truly free us from the illusions of time and physicality. In order to find and understand how to use these tools, we must learn to see these “tags,” decipher them, and decode the messaging and instructions. For now, we can view the universe as a virtual reality game with an external programmer which the Torah calls G-d, the Creator, or Our Lord G-d, or the One Who Is.
We will develop this concept further as we get deeper into the beauty and symmetry of the fabric of the universe and as this messaging and tagging gets more and more apparent.
A Different Perspective
Part VI section b
To get an idea of the complexity of the Torah, we need look no further than its first verse, which has exactly 127 different combinations of its 7 words. This is considering only variations in which of the 7 words are being added together, not their order. If we were to consider rearranging their order (permuting them), or their 28 individual letters, their possible combinations would be ridiculously high. Nonetheless, 127 is the 7th Mersenne Prime.
The sum of those 127 assorted combinations is 172864. Where did we see that number before?
It was in the total gematria of the collective 304,805 letters in the Torah: 21009826. The sum of its digits was (2+1+0+0+9+8+2+6) = 28, and the product of those same digits gave us (2*1*0*0*9*8*2*6) = 1728. Then we applied a deeply revealing form of gematria cipher and got an equation which circled us back to the 28 letters of the Torah’s first verse:
4√(P(21009826)/ ∑(21009826))) = 4√(1728/28) = 2.802828
Now with the sum of those 127 assorted combinations equal to 172864, the relevance between the two equations and the entirety of the Torah to its first verse is strengthened.
Within those 127 or 27 combinations each word (value) is represented 64 or 26 times, which also means 172864/2701 (the value of the first verse) equals 64. Moreover, while 2701 = (73 x 37), the total 127 combined combinations, or 172864, work out to both 4672 x 37 and 2368 x 73.
It may be telling that 2368 was the year Moses was born, yet there is another property to these numbers, a geometric one. An odd synergy or linkage is found between the these total combinations and the 42-Letter Name matrix. When we add 4672 and 2368 together, we get 7040, and when we divide the sum of all 64 value 407’s by 37 we also get exactly 704. As it turns out 704 is the value of the 4th level of the 7 levels of the 42-Letter Name matrix. Kabbalistically, this is the level connected to Moses.
As for the number 1728 above, there are 7 words and 28 letters in the Torah’s first verse and the longest word in the Torah (ובמשארותיך) is found at Exodus 7:28. This unique word (ובמשארותיך) is 10 letter long, and in reverse order, the word, keter (כתר) and the acronym for the 42-Letter Name (שמב) are easily found . We are keying in on this word specifically, not for what it means but because it is unique in being 10 letters long and found in the 10 plagues. Utilizing the 4 remaining letters, they spell both Ohr(אור), meaning light, and the number 216 (ריו), as in the 216 letters to be found 7 verses later in the 72 Triplets. Furthermore, the first 4 letters of this unique word have an ordinal value of 42 and the remaining 6 letters of 70. We can speculate all day as to why these hidden gems are found in the “kneading bowls” of the Egyptians during the 2nd plague, but all we do know is that every gem networks to another one and another and all these interconnections appear to form a neural network of sorts and also a roadmap of intelligent design, like keter(620) in this 10-letter word connecting to the 10 Commandments comprised of 620 letters at the high point (keter) of the Torah in the 70th chapter of the Torah.
Moreover, there are 728 consecutive-word pairs in the Torah that begin with the letters Mem(מ) and Bet(ב), as in the Mem-bet (מב) or 42-Letter Name. The more we look, the more all those neural connections seem to be tied into the 42-Letter Name, which may be why the Torah blatantly told us the Israelites had to go through 42 (מב) journeys, each described with the prefixes Mem(מ) and Bet(ב) in order to get to the Promised Land. That message could not have been clearer. Are we reading the hidden messages loud and clear as well?
If an advanced intelligence gave us a roadmap of intelligent design could it be just a gigantic Rubik cube to stimulate our minds—not a bad thing in and of itself? Or since we were instructed to preserve it, study it, obey its laws, and read it weekly forever could we assume that it was something much more significant for us? What about if that advanced intelligence was Divine intelligence?
If we take this intelligently designed document/matrix at face value, Moses was given 173 keys to Heaven, akin to the 173 value of the 42-Letter Name, and was able to download the entire Torah into his mind, all 58 element, or even 248,000Φ elements, and recreate it absolutely perfectly. He also downloaded the designs for the Tabernacle, the Ark of the Covenant, and much more. The Torah takes pains to tell us Moses was a man of specific human origin, not a divine being or a mysterious being who appeared out of nowhere. Is it possible we are being shown how much more our minds can expand and handle? Is it possible we are being shown how?
The Torah also tells us we were given the Torah from love, and gematria tells us that love (13) and Oneness(13) are synonymous. Again, taking the word of the Torah at face value, might not that mean that this Advanced Intelligence, Divine or otherwise, wants all of us to be able to expand our minds and to free us from our limitations, the limitations bounded by what we collectively perceive as reality.
How interesting that throughout time certain historically evil forces have sought to destroy the Torah and the people who preserve and study it. Despite them and despite overwhelming odds it remains whole and intact for us today.
Also, taking the Torah’s words at face value, it is specifically and repeatedly—several thousand times—telling us that this advanced intelligence is specifically Divine Intelligence. Perhaps it was always known that more than any other message this one about Divine Intelligence would have to be hammered home since it would be the hardest one for us to accept.
Whether we take the number 1728 independently or split apart the number 172864 into 1728 and 64 we see that 1728 = 123 is a perfect cube of 12 x 12 x 12, and that 64 = 4 x 4 x 4, another perfect cube of 43. Moreover, since 1728/64 = 27 we can fit exactly 27, or 33 cubes of 43 into the cube of 123 conveniently matching the 27 building blocks in the alphabet when the 5 final letters are included.
Since each word-value is included 64 or 43 times they each form a cube of 4 units by 4 units by 4 units. So we have 7 cubes, each with 64 blocks, with the volume of each block worth each word’s face value. For example, the first cube is comprised of 64 blocks of 913 each arranged in 4 layers of 4 x 4 blocks per side. In total that give us 7 x 64 or 448 blocks (cubes)
There is also the 43 cube of 64 individual cubes of 2701 each, given that 172864/2701 = 64 = 43.
Each unit length for each side of the individual cubes are given by the cube root of each word value or (9.701158, 5.87713, 4.41400, 7.3742, 7.33723, 4.108, and 6.66444) respectively. We’ll get to these values in due time. Just note that each side of the 43 cube based on the 7th word “The Earth” is 4 x 6.66444 or 26.65777, interestingly combining the Tetragrammaton (26) with its pronounceable counterpart Adonai (65).
The same computations apply to the 7 tiers and 127 combinations of the 42-Letter Name, which total 64 or 82 x 3701 = 236864, reflecting the total value of the Torah’s first verse’s own 127-word combinations in that as we saw previously, 172864 = 73 x 2368. The difference between the two verses is exactly 1000 so the difference between their combination sums is 64 x 1000 or 64,000, a cube of 40 x 40 x 40 or 1000 cubes of 43 arranged in a 10 x 10 x 10 or 103 cube. We will get back to these cubes in a moment.
Tower of Truth
For each of the 64 word-values used of the 127 combinations there are 127 – 64 or 63 empty sets or 441 in total. For example, if one of our 127 combinations uses the first 5 words of the 7, then 2 cells will be empty in that combination. The number 441 is known to the Kabbalists as the square of the Name Ehyeh (אהיה) of numerical value 21, found 7 times in the Torah. In spiritually or kabbalistic philosophy nothing is ever truly empty. The space between the black letters in the Torah is considered white fire, and all space, virtual or physical is filled with some level of energy. It is not so different for our modern physicists.
Moreover, the number 441 is the numerical value of the Hebrew word Emet(אמת), meaning truth, which is another appellation for the Torah. It is also a reference to the 42-Letter Name that begins with Alef (א), has 40 (מ) letters in between, and ends in Tav (ת). It also forms the basis of a special tower of 20 stacked nested cubes from 13 to 203, for a total of 210 units in height and a volume of 44,100 cubic units. This volume of the 20 stacked cubes works out to 2102. Right now, it is a virtual hidden tower of empty space concealed within the Torah’s first verse and likewise within the 42-Letter Name of G-d, both of which are referred to as Emet, Truth. This tower will manifest again in a concrete way later in this paper. For now, it makes us wonder if the 210 years of exile in the spiritual emptiness of Egypt was not a metaphor with some special relationship to the number 210 and what it connects to.
The 3 root letters (מצר) of the Hebrew word for Egypt, Mizra’im (מצרים) mean “strait” as in a naturally formed, narrow, typically navigable waterway that connects two larger bodies of water. In other words, a restriction or choke point between worlds. Its numerical value is 330, which will be significant and apropos later in this paper. For now, what is significant about the word Egypt, Mizra’im (מצרים), the place where all three (3) Patriarchs visited and the place of the 210 years of exile is that the name Egypt (מצרים) literally represents a splitting of the water, mayim (מים), and a splitting in two of the letter Mem(מם) of numerical value 80 by the 3 letters (צרי), which have a numerical value 300. This splitting is reminiscent of the Shin(ש)- Pe(פ) relationship in the 304,805 letters, or 300,000 plus 4,805 letter Pe. The 3 letters (צרי) that equal 300 can mean giving form, and are the root of yetzirah (formation), as in Abraham’s Sefer Yetzirah, the Book of Formation.
Speaking of empty space and 210, the space between the highest word value in the first verse and its next highest is 913 – 407 = 506, which is the number of times the triplets of the 42-Letter Name are found in the Torah. Furthermore, the difference, or space, between the 2nd highest and the 5th highest values of this verse is 111, the same as the letter Alef(אלף), while the space between the 5th and 7th final word value is 210.
With the completely empty set, contrasting the completely full 7-word set, there would be 128 or 27 total combinations, which will be important for us shortly.
It Goes Back to Splitting of the Alef-Bet
Returning to the 127 combinations, the sum of their square roots is 1557.333, which might be familiar to readers of our articles as it is the sum of the 10 primordial component letters (דוזיכנסרךן). The 27 Hebrew letters are comprised of 10 basic component letter that are utilized exactly 50 times in total to construct the 27 letters.
These 10 component letters can likewise be split in two sets, this time splitting them into halves in terms of ascending value, but with an albeit arbitrary interchange or flipping of the position of the two central letters:
The sum of 5 of the letters (דוזינ) is 77, and the sum of their square roots is a close approximation to 10 times the square root of 3 or 10√3, or 17.3285… Meanwhile, the sum of their squares is 2701, the numerical value of the 28 letters of the Torah’s first verse. Once again, the splitting of the alef-bet giving way to the Creation of the Torah.
The sum of the squares of the other 5 component letters(כרךן) is 784,000 or 28² x 1000, yet another reference to the 28 letters of the first verse. Because 28² is (1000 – 216) we get a possible reference to the 216 letters of the 72 Triplets and the perfect 1000 sum of their square roots. We can juxtapose that with 17.3285 being suggestive of 173, the small gematria of the 42-Letter Name.
We are professing that the origins of the Torah come from a higher intelligence and so we must assume that the Torah must also be viewed from a higher perspective or multi-dimensional one. One way to do that from our admittedly limited point of view is to take the static numbers concretely given to us by the Torah and expand them geometrically to see what someone looking down on them might see, and what might otherwise be hidden from us. For example, a cube with 6 faces, 8 vertices and 12 edges or 26 outward facing elements when passing through our 2-d plane would appear to us as no more than a square at any moment in our linear-bound time. We would see only 1 face, 4 vertices and 4 edges, or 9 elements in total. A line, or even string of numbers, passing through, would generate a single point or number. The same goes for a string of 22 letters.
This is not as out there as you might think. We do this all the time unconsciously. When we look around us at any given moment, we see telephone poles, buildings, cars, people. In other words, any typical scene depending on where we are at the time. We cannot see behind or around the objects in our view stream; they may indeed be flat 2-dimensional cut-outs, yet our conscious minds fill in all the missing information and convert it into a 3-d world. The same happens with a painting or a photograph. Our minds will even do that with impressionist art or an abstract painting. Our minds are filling in and creating new information based on what the artist programmed into his work, unseen algorithms, equations and relationships (spatial and otherwise). The same holds true for stories and novels. The writer gives us 100,000 words but our minds take it from there and fill in many times that in backstories, scenery etc. based on our individual and common consciousness and based on downloaded algorithms from the writer’s mind. A good writer can do that in fewer words. A poet can do that in very few.
Given that and given what our minds are capable of grasping, reading and recreating unconsciously it would be indeed negligent of any advanced intelligence not to take advantage of that. They would program anything they (He) gives us with higher-dimensional encoding as well. If I can write a 7-word sentence that has meaning to you and causes you to think, great. If I can assign numerical values to the letters and words in that sentence which convey even more meaning and information to you that would be much better. If various gematria ciphers spewed out even more info you could use and calculate with, fantastic. If I could program in equations based on the relationship between those words and letters that convey even more information to you that is so much better. Then if I could project through these numbers and letters a higher dimensionality to reveal even more to you, that would truly be an efficient use of space and time. But if in transferring all this info to you, I was activating your unconsciousness to download even more powerful algorithms, and possibly even activate areas of your brain and consciousness laying dormant until you were ready, I would also be doing something truly useful.
We are a limited intelligence at the moment and yet capable of programming computers with intuitive AI capable of thinking for us and reacting millions of times faster than us. Some might say that is counter-intuitive and proves we are not that intelligent after all. Regardless, ask yourself: What would a far more advanced intelligence do, transfer info to us in an enduring document that was limited to our capabilities of 3330 years ago, or knowing our trajectory, program it for us today or even for future generations?
One question to ponder: How were they (He) able to know, or to ensure, that that document endured perfectly intact, all 58 letters, words, and verses?
There are several ways to learn, one way used by bright inquisitive young minds and talented seasoned engineers alike is reverse engineering. When you are given a device or new technology and there are no books, lectures, YouTube videos or schematics to rely on, you carefully take it apart and draw your own schematics, then hopefully reassemble it correctly. Tiny protein machines inside the cells of our bodies do it all day long with our DNA. It would be only natural that an advanced intelligence would know that one day we would do that too with the Torah. One could say they (He) made sure of it when we were given the exponential gematria codes to the alef-bet and the 42-Letter Name, an information transference device that we are only beginning to comprehend and utilize.
One of the ways we can get an understanding or glimpse of what might be out there before it enters our reality and passes through it, is by observing its shadow. A cube casts the shadow of a hexagon. The shadow cast by the Torah’s first verse combination 43 cube of 64 parts of 2701 cubic units each is a 37-unit hexagon. The total area of this resultant hexagon is 37 x 2701 = 99937, or (100,000 – 63). The shadow cast by the 42-Letter Name combinations 43 cube of 64 parts of 3701 cubic units each is also a 37-unit hexagon. This hexagon has a total area of 37 x 3701 = 136937 or (137,000 – 63). The difference between the two resultant hexagons is naturally 37,000.
As you can see with these diagrams, we can go easily from that hexagon to assorted other shapes including circles, triangles, diamonds trapezoids and 12-gonal stars inscribed in the hexagram and ones that circumscribe it. There is a wealth of information that can be encoded by giving us a shape or a shadow.
These correlations should not be a great surprise to us as we have already seen that 37 units is the dimensions of the inner hexagon to the 73-unit Star of David since we started off with 2701, a triangular number that is the sum of the integers from 1 –73. No surprise, but still it was a planned geometric integration into the specific values of the first verse and how they would combine with each other.
Hexagon2701 = 37 x 2701 = 99937 = (100,000 – 63)
Hexagon3701 = 37 x 3701 = 136937 or (137,000 – 63)
The area of each of these two large derivative hexagons is off from a large round number by exactly 63, as in the 63 units of virtual space hidden in those 127 combinations, and as in the complement to 37 in that 100 – 37 = 63. As we consider the role of 63 in these equations, we hark back to the relationship between the 670 paragraphs and Moshiach Ben David (424) whereby:
Kabbalah has always had an explanation for this numeric relationship. Of the 10 Sefirot of the Tree-of-Life three (3) of them are of higher dimensionality than the other 7. These three (3) are Keter(620), Chochma (73) and Binah (67). The 7 lower sefirot are analogous to the 7 words of the first verse. The first two of the three (3) are extremely abstract to us, Binah (בינה) is the endless sea of energy, the place where the Oneness, the primordial Alef(א) exists and the place where the spiritual life-force that waters and energizes our world emanates. When the 4 aspects of the Tetragrammaton (יהוה) are spelled out, the first level is aligned with Chochma of numerical value 72 and the second one with Binah (יוד־הי־ואו־הי) of numerical value 63. So both 67 and 63 are directly associated with the concept of Binah. The third number or appellation associated with Binah is 1000, which partially derives from the 3 Yuds (י):
So full disclosure about the kabbalistic understanding of some of these equations, the 7 lower sefirot complement Binah (63), hence 70 is the union of the 8 sefirot (7 + 63) and considered a completion. And the 8 or 8th level is Binah as in the 58 elements in the Torah.
We can ponder about 63, but 137, as in 137,000, is the gematria of “kabbalah,” meaning “to receive,” so we can wonder if the hexagon shadow based on the 7 lines of the 42-Letter Name is purposefully revealing an advanced technological way for us “to receive.” We do know that 137 is also directly connected to the Fine Structure Constant, but more on that later. For now, we can concretely see that 236864/137 = 1728.93 or rounding it off, 1729, the Taxi Cab number.
Taxi Cab Number
A couple months ago, as I was driving my daughter to school, we were behind a car with 1729 on its license plate, reminding me of the Hardy–Ramanujan Taxi Cab Number, which I then explained to her. When Hardy went to visit Ramanujan in the hospital, he wanted to make small talk, so he mentioned that the taxi cab he rode in had the most boring number, 1729. Ramanujan replied that it was actually quite interesting, as it is the smallest number expressible as the sum of two positive cubes in two different ways (13 + 123 = 93 + 103). Yes, cubes again. But what Ramanujan did not know was there are exactly 1729 occurrences of the word value 26 in the Torah. That is the same 26 as in the 26 elements of a cube and as in the value (26) of the Tetragrammaton (יהוה), not to mention that the digits in (13 + 123 = 93 + 103) are (1 + 3 + 1 +2 + 3 + 9 + 3 + 1 +0 +3) = 26. Now that is indeed an interesting number!
Cubes on Steroids
The number 248 takes us all the way back to the beginning of this paper where we split the 22 letters of the Hebrew alphabet into two sets of 11 letters each, using the one and only “sequential” way to give us the 42 ,72, the Torah, and and phi proportions. While there was only one “sequential” way to do this, there were exactly 248 different 11 letter splits in total that summed to identical 625/870 proportions. That was exactly 248 ways out of 705,432 different ways that the 22 letters could have been split into 11 letters. And of those 248 ways, there was a subset that our one sequential split was part of, those whose 11 small gematria pairs summed to 541, the numerical value of Israel. That subset had exactly 120 combinations. We know there were two significant men in the Torah who connected directly with G-d more than any other, one was Abraham and the other was Moses. We also know that the numerical value of Abraham is 248 and the lifespan of Moses was 120 years. We saw Moses’ birthdate, 2368, conspicuously woven into the combinations of the Torah’s first 7 words, and when we add his 120-year lifespan we get the year the Israelites entered the promised Land, Israel (541) immediately after Moses passed away, 2488 HC.
Yet another property of that original alef-bet split is found when we add in the sofit (final letter) gematria to the values already utilized. Adding the final values of caf(500), mem(600) and pe (800) the alef(א) – shin(ש) side of our one sequential split goes from 625 to 2525, in keeping with the theme of multiples and the continuous squaring of 5. Moreover, while the difference between the two sides would now be (2525 – 2470) = 55, the significance of which we will soon see.
To complete this symmetrical beauty in this splitting in two(2), we find that the sum of the integers from 1 – 100 divided by 2 = 2525, remarkable because 100 was the sum of the integers in the small gematria pairings that totaled 541 and Israel (541) was the 100th Prime number. If it means anything at all, we just want to point out that 2525 – 2488 = 37.
It is interesting how this narration of the Torah and the fixed historical reference points follow this simple proportionate splitting of the Alef-bet. It is almost as if the story, events, and timeline was created to fit the numbers. It all had to have been known beforehand, thousands of years beforehand, or it would not have fit so precisely.
The sages told us that the Torah was written on 70 different levels and that the highest level was revealed through gematria. As we are seeing though, gematria is just a gateway to understanding. Like a good video game, once we enter the gematria gate, there are many more hidden levels, each with hidden tools, clues, strategies to learn and find. These numbers, 248 and 120, also come up in hypercubes and higher dimensional geometry and physics. The mathematics and physics here are beyond most of our readers so you can imagine what it must have seemed like to those of Moses and Abraham’s generations. Therefore, we are going to keep it as simple as possible and just point out the synergies between our Torah numbers and the multi-dimensional expansions of geometry.
After the lonely point, we expand into 1 dimension by drawing a straight line between it and a complementary point. The points are now known as vertices or the intersection of the lines, which will become edges as we expand into higher dimensions. We get into the 2nd dimension by drawing a square from our original line. Now we have 4 edges and 4 vertices and 1 face. As we expand from there, each vertex or intersection will have a number of edges symmetrically coming off of it equal to its dimensionality. In other words, a 3-dimensional cube has 3 edges for each vertex, all symmetrically at 90-degree angles. The number of vertices will always be 2n where n = the number of the dimension, as in the nth dimension, so our 3-dimensional cube has 23 or 8 vertices.
As we keep expanding from there into hyperspace our minds become inadequate for comprehending what these hypercubes look like and we need computers to process them for us. We can, though, project their vertices and edges downward, dimension by dimension, and represent them on a flat 2-dimensional surface.
So extending deeper and deeper into hyperspace we see that a 5-dimensional hypercube or polytope has 32 vertices matching the 32 pathways of the Tree of Life as noted by Abraham in his Sefer Yetzirah, and the 6th and 7-dimensional hypercubes have 64 and 128 vertices respectively, which matches up with the analysis we just did of the 128 combinations of the 7 first words in the Torah’s special first verse and then 64 times that each of the 7 words was used. Since the 6-dimensional hypercube was the source for the 7-dimensional hypercube we are essentially dealing with one 7-dimensional hypercube whose 128 vertices each represent a different combination of the 7 words and 7 possible empty spaces, and which reflect the 64 times each of the 7 words was used.
Increasing in dimensionality we find that an 8-dimensional hypercube has 256 vertices, analogous to the numerical value of the Ark of the Covenant (256), where the Torah is stored, and a 10-dimensional cube has 1024 vertices, equating to the 1024, or 210, word values in the Torah.
An 8-dimensional hypercube is special, actually unique, in that while the number of vertices is 256 or 28, the number of edges is 1024 or 210, together that is 256 + 1024 = 1280 or 10 x 27. This equation works both for 8-dimensional hypercube and the 210 word values stored in the Ark (28). Moreover, 1024/256 = 210/28 = 4, possibly referential to the 4 letters of the Tetragrammaton(יהוה). This absolute ratio of 4 edges to each vertex is unique to the symmetry of the 8-cube, as the formula for edges for n-cube is n2n/2 which works out to edges = n/2 x vertices for an n-cube.
Nevertheless, that was not why the 8-dimensional hypercube was so special. The number of faces of this particular hypercube equals 28 + 29 + 210 or 256 + 512 + 1024, which in turn equals 1792. What this means is that the number of faces in an 8-dimensional hypercube equals the number of vertices in the 8th, 9th and 10th dimensional hypercubes combined. It also means the number of faces on an 8-dimensional hypercube equals the number of vertices in the full progression of the line, square, 3-cube, 4-cube, 5-cube, 6-cube, 7-cube and 9-cube and 10-cubes combined. That is actually wrapping the entire expansion in One. Then if these were not just points and planes in virtual space but had some assigned meaning to each one then there would be virtually no limit what this technology could do or do for us. Is there meaning to 1792 being exactly 28 less than the 1820 Tetragrammaton(יהוה) in the Torah and those 28 Tetragrammaton(יהוה) add up to 728. Could it be that the 1820 Tetragrammaton(יהוה) directly connect with the 1792 faces of the 8-dimensional hypercube and or the number of vertices in the 28 + 29 + 210 hypercubes (8-cube, 9-cube and 10-cube) plus the 3-cube 4-cube and 2-cube(square).
Viewing the 58 elements of the Torah as an 8-dimensional hypercube, we can see how the Ark of numerical value 256, or 28,matches up with the 8-cube’s 256 vertices and how the 1024, or 210, word values matches up with the 1024 edges of the 8-cube. This obviously brings up many questions.
E8 Lie group, The Torah and the Universe
The Kabbalists have always known the 8th dimension, which they called Binah, is special and is a level where all our physics collapses and where we get freed from entropy, thus releasing us from the constrains of time. We will explain this later when we get into the physics of spherical time. Now, a giant step up in complexity is the E8 Lie group. The E8 Lie group is a 248-dimensional object, or 8 spatial dimensions with 248 symmetries. Lie groups are a special set of symmetries and the E8 Lie group is one of the most complex shapes in our universe that shows up in both string theories and a newer possible fundamental theory of our universe. This complicated circular webbed drawing is a very simplistic 2-D representation of a 3-d model of a 4-dimensional projection of an 8-dimensional object. It took a supercomputer years to model it. It has 248 points of intersections.
There are 4 fundamental forces in our universe: The Strong force, the weak force, electromagnetism, and gravity. There are 12 fundamental particles, 6 quarks including the top quark with a mass of 173.07 GeV/c2, and 6 Leptons. Each of these has an anti-particle equivalent of equal mass for a total of 24 elementary particles plus the 4 bosons (Gluon, Proton, Z, and W) or force carrier particles. A total of 28. Each of the 28 particles has 8 assigned quantum numbers for a total of 224, leaving 24 dimensions or vertices of the 248 unaccounted for. With the Higgs boson discovered in the last few years and a possible (probable) graviton, as yet to be discovered, that would leave 22 vertices unaccounted for. Hmm!
Is it possible that Abraham (248) was correct in that the 22 letters are essential and elementary building blocks for our universe? Is it possible that this trail of breadcrumbs we were left is guiding us in that direction?
Of Jacob’s 12 sons, Leah had 6 and the other 3 mothers had 6 more, analogous to the 12 fundamental particles (6 Fermions and 6 Leptons). The 4 Bosons may be analogous to the patriarchs, Abraham, Isaac, Jacob and Joseph. Please note that even though Joseph was one of the 12 sons, he was replaced by his two sons as princes of the 12 Tribes, which freed him to be a Patriarch. Add Moses and the final force, Moshiach, and the Torah aligns with the fundamental force and particles in our universe. The kabbalists have always said the Patriarchs were more than significance personages in our history; they referred to them as energy forces so none of this is surprising. At the moment, there is not much we can do with this right now, but with more understanding perhaps we can complete the equations using the numbers the Torah associates with them, such as ages and census numbers for the tribes.
In mathematics, E is the designation for several closely related exceptional simple Lie groups of dimension 248, and the same notation is used for the corresponding root lattice, which has rank 8. The E8 lattice is far more complex than we have portrayed it. Each point in it is surrounded by 2160 8-orthoplexes and 17280 8-simplices. Each 8-orthoplex is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces. You get the point; Very complex. Nevertheless, 2160 is not only referential to the 216 letters of the 72 Triplets, but also to the 2160-mile diameter of the moon, and 17280 is likewise referential to the 172864 total value of the 127 word combinations.
One last observation about hypercubes and the Torah’s first 7-word verse. We saw that the empty or null set of non-word values amongst the 128 total combinations totaled 64 x 7 or 448 units. You may have thought we were pulling connections out of thin air, but a 7-dimensional hypercube has 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces. The picture of a 7-dimension null hypercube within an 8-dimensional hypercube is taking shape before our eyes. Black fire on white fire, indeed. This exists, and while invisible it is indelible, whether there is any connection between 448 and 2448 HC, the year the Torah was received on My Sinai, or not.
Steering away from the differential calculus of Lie groups and back to simple mathematics and the first verse of the Torah, the 1st and 3rd words add up to 913 + 86 = 999, or 9 times alef(אלפ); the 2nd, 3rd and 5th words add up to (395 + 401 + 203) = 999 as well; then the 3rd, 5th and 6th words sum to (86 + 395 +407) = 888; and finally the 3rd, 5th and 7th words add up to (86 + 395 + 296) = 777. Altogether these 4 different combinations that add up to multiple of alef(אלפ) equate to 33 x 111 or alef(אלפ).
Of the 127 combinations, 6 of them sum up to a multiple of 111 alef(אלפ), matching the 6 alefs(אלפ) of numerical value 111 that are found in this same first verse. The first multiple of 111 to be found amongst the 127 combinations is in the 10th highest combination value (2220) or (20 x 111), represented as 20(א). The second one found is the sum of the first 5 words (913 + 203 + 86 + 401 + 395), which equal 1998 or (18 x 111), or 18(א).
Of those same 127 combinations, there are also 23 combinations that are multiples of 37. These 23 combinations represent 18.10% of the total 127 combinations. So once again 181 comes up, the 42nd Prime Number, and the sum of the first 42 digits in the set of all Prime Numbers, and this time connecting back to the 181 digits in 111! (factorial).
The 5 That Don’t Jive
Just as this paragraph may seem out of place here, there is a seemingly incongruent time-line of 5 consecutive portions in the Book of Exodus: Yitro, Mishpatim, Terumah, Tetzaveh, and Ki Thisa, stretching from Exodus 20 – 34; from paragraph 54 to 130; and from the 10 Commandments to the second set of Tablets. Just to put that into perspective, that span of the 5 portions that have 22 letters in their combined 5 Hebrew portion names is exactly 22,000 letters, 5788 words, 441 verses, 77 paragraphs and 15 chapters. Right off the bat, the connection between the shift of 54 and 13 degrees and the 54th – 130th paragraph at Mt Sinai of numerical value 130 is obvious. Moreover, that 441 is the gematria of Emet, truth, and that there are exactly 1000 letters on average for each of the 22, is glaringly precise. Next, we note that these 5 portions represent 7.2% of the entire Torah, a possible reference to the 72 Triplets. Then, while the total gematria of those 22,000 letters is 1733324, it is debatable whether the 173 reflects the 173 small gematria value of the 42-Letter Name in a similar way that the Top Quark having a mass of 173.07 GeV/c2 may or may not reflect it as well. Nonetheless, 1733324/26, the value of the Tetragrammaton (יהוה) is precisely 66666.308 and that was most probably planned for and designed that way.
In analyzing those 22,000 letters, we see that many of them reoccur very specific and significant numerical times. It would be natural for one of them to, even two, but of the 22 letters, at least 7 of them do. For instance, the letter Bet (ב) reoccurs 1024 or 210 times, the same as the exact number of different word values in the entire Torah, and the 1024 edges of the 8-dimensional cube. Both the letters Gimmel (ג) and the letter Tet (ט) each reoccur 137 times, as in the numerical value of kabbalah, meaning “to receive” and the Fine Structure Constant (1/137). Speaking of the Fine Structure Constant (1/137), when we sum up the cube roots of all 127 combinations, they total 1370.872. The letters Gimmel (ג) and the letter Tet (ט) are the only two letters of the Torah never found next to each other and they spell get (גט), “a bill of divorce,” a separation. The letter Chet (ח) reoccurs 616 times amongst these 22,000, and that is the numerical value of H’Torah, and is also the exact number of times Moses’ exact name (משה) is mentioned in the Torah. It is also the value of Yitro(יתרו), the first of the 5 portions. Then while the letterPe(פ) reoccurs 358 times amongst those 22,000 letters, as in the value of Mashiach(358), the letter Ayin (ע) reoccurs 954 times, as in digit #954 in Pi where we find the final of the three triplicate 5778 previously discussed.
Partitioning and more partitioning into meaningful subsets. Each value may have its own vertex and/or its own edge in either an 8-dimensional or 10-dimensional cube, and each one an intersection with so many more connections with other vertices and sub-regions, shapes, dimensions. It could take a supercomputer to model and reverse engineer it, begging the repeated question as to why were we given this magnificent instrument? And will we ever know how to utilize it properly? The answer may be up to us.
If, instead of having G-d’s Names all over the technology, it had alien markings, there is no doubt scientists would be pouring all over it, parsing it, studying its partitioning and symmetries, ordering its vertices, searching deeper and deeper for clues, answers, and a way to escape our reality. Do you not think the Creator of this unfathomably deep technological document and device did not know that?
Perhaps, in order to fully access this technology, we have to believe. Not in it, but in G-d, the Creator and in Oneness, just as it says in the Torah.
This abstract concept is not so far-fetched, welding an unseen force like belief and consciousness to hardwired physics. Does a computer work without software? And even more abstractly, how can we explain the uncertainty principle and quantum entanglement? The truth is right now we cannot. They are observations we have made, and we have yet to find the knowledge to make sense of them.
There is super-determinism that tells us that whatever we actually observe was pre-determined all along, was pre-destined to happen. That does explain it, but it negates ALL free will and places each of us in a set movie in which we can only observe not alter. That would negate any raison d’etre for our existence and make us an insignificant miniscule hiccup in a multi-verse universe that has vast other options, just not for us.
I am not saying that we have a special place in the vast universe, only that we were chosen to receive the Torah for a reason, not as a plot device in a movie. We are not characters in a Pirandello play spontaneously awakening from our movie, searching for our author. Or are we? Either way, we found consciousness 5778 years ago and are just now learning what we can do with it.
The problem with quantum entanglement is that all our physics so far is predicated on Einstein’s theories that nothing can travel faster than the speed of light, not even if we were to find sub-photons or messenger photons. The reason this is an issue is that we have observed that if a change is made to a particle on one side of the universe an automatic corresponding change will occur in its paired particle on the other side of the universe and that cannot happen without significantly faster than light travel. Unless, of course, there were forces at work we have yet to understand, or another dimension with different physics that connects everything using a different type of force entirely.
When something is unknown, invisible to our physical observations, and yet has some visible effect on our world (universe) we tend to call it spiritual. At which point most people either ignore it or filter it through their personal and collective conscious belief systems. The truth is we do not have a good grasp on consciousness either. No one actually knows what consciousness really is. Sure, we know our minds work through interlocking neural networks with feedback systems and loops, but beyond that, like the spiritual world, consciousness is an invisible force that is just there.
Given that, would it be so unfathomable that the forces of consciousness and the forces of the spiritual world might interact. And might there be tools that could facilitate and help us to consciously harness that interaction? Might the kabbalists be correct when they told us the 22 letters were conduits of that interaction, that the specific Names were just such tools enabling us to harness it, and that the Torah is both our instruction manual and motherboard to complete engagement?
Back to the technology itself. One additional point about the letter Pe(פ) of numerical value 80 in the Torah. We have spoken about the obvious split in the 304,805 letters between the 4805 Pes(פ) and the other 21 letters. What we neglected to mention about the programming was that the collective value of those 4805 Pes(פ) was 384,400, whose square root is exactly 620, Keter (כתר). This is perhaps an indication why there are 80,000 – 52 words in the Torah. And perhaps this is reflected in the triplet 805 of the 304,805 letters, which is also the value of “The rainbow (הקשת)” in Hebrew, the sign of the Covenant G-d made with the Earth, the sign of the covenant between G-d and all flesh on Earth, according to the Torah in Bereshit verse 9:13. This occurred right after the flood (מבל) of numerical value 72, which begins with the letters (מב) or 42. Strengthening these possible connections is the ordinal value of the rainbow (הקשת), 67, the same as the value of Binah (בינה), the dimension where those spiritual forces discussed above exist, the place, according to the kabbalists where the forces of our consciousness interact outside of physicality. G-d also refers to the rainbow as “my rainbow (קשתי)” whose ordinal value is 72.
A covenant with G-d is a Brit (ברית), associated with a splitting or severing, like G-d’s Covenant of Halves with Abraham and a Brit mila, the separation from negativity for an 8-day old male baby. Certainly, this splitting or severing of Keter in the 304,805 letters is readily apparent. What is interesting is that the square root (the splitting into two equal components) of 390,625 gave us 625, H’Keter, and the square root of the total value of those severed 4805 Pes(פ) gave us 620, Keter with a difference of 5 between them, as in 58.
G-d said to Noach(נח), of numerical value 58, about the rainbow that it was “a sign of the covenant ( הברית– אות).” The word “sign” is the same word for ‘letters” and the numerical value of this phrase is 1024 or 210, as in the precise 210 word values in the Torah. A Covenant indeed!
Part VI, Section C: For Whom the Bell Tolls.
Before we get back to Bell Numbers, we want to clarify something. We explained earlier that the only way for us to comprehend a higher dimensional object is to project it onto a 2-dimensional surface. This picture is a higher dimension orthographic projection of a hypercube onto a 2-dimension surface. It is a combination or points and connecting lines and we are viewing it from one of a nearly infinite assortment of possible angles. Obviously, it loses a tremendous amount of information as it is dumbed down to our level. What looks like a spider’s web to us is a confluence of numerous cubes, cells, faces overlapping, integrating and intersections in myriad ways. When we read the Torah we are reading a 2-dimensional object. From what we have seen, especially since so many attributes in it form perfect cubes, even in multi-dimensions, it is entirely probable that what we are seeing is a projection down from higher dimensions. And that the information we are registering is a tiny fraction of what is available to us.
Now onto Bells. In combinatorial mathematics, the Bell numbers count the possible partitions of a set. To understand partitioning, we can see that One element can be divided only 1 way, making 1 the first Bell number. Two elements can be split up as (1,2) and (12) or two ways, making 2 the second Bell number. Three elements can be split or partitioned into (1,2,3); (12,3); (1,23); (13,2); and (123) or 5 ways, making 5 the 3rd Bell number. In other words, The nth of these numbers, Bn, counts the number of different ways to partition a set that has exactly n elements
Very few of these Bell numbers are also prime numbers, meaning irreducible (non-factorable) numbers. The second Bell number is 2, which is a prime number, so is 5, the third Bell number and second Bell Prime. The next Bell Prime is 877, which is the only the 7th Bell number. They start growing exponentially large from there. Our supercomputers have only found 7 Bell Primes so far, making them extremely rare in the universe.
If you rank all the Bell Numbers from B1 to Bn and record where those 7 rare Bell Primes are found, you would have an index of all the Bell Primes. This is known as the Bell Prime Indices. The Indices of the 7 known Bell Primes are the 2nd, 3rd, 7th, 13th, 42nd, 55th, and 2841st Bell Numbers, giving us the so far finite sequence: 2, 3, 7, 13, 42, 55 and 2841. This sequence is called “the indices of Prime Bell Numbers.”
As these are the rarest of sequential sets based on important and elementary mathematical and real-world principles—how to divide up any grouping—we must conclude that any substantial interweaving with the Torah’s design would be profound.
In the Beginning
Let us begin in the beginning by connecting the Torah’s first word to the 13-42-55 sequence in the Shema, and independent of that connection to the Bell Primes. Bereshit (בראשית) has 6 letters (elements), just like the letter vav (ו) that was found in the 13-42-55 proportion in the Shema, which we should remind you is wholly comprised of 3 excerpted paragraphs from the Torah, not a manmade external prayer. It was in the relationship between the second two paragraphs and the first 42-word one that this proportion unfolded. The number of possible partitions of the 6 elements in Bereshit (בראשית) is 203, which would make it the 6th Bell Number. The 2nd word, a 3-letter word, in the Torah is Bara (ברא) of numerical value 203. The design structure of the Torah’s 2nd word, a 3-letter word of numerical value 203 being indicative of 2 x 3 = 6 and that it is also equal to the 6th Bell Number (203) is probably purposeful. Yet even more significant perhaps is that the first core syllable of the Torah, one of the main partitions of that first 6 letter word is also Bere (ברא) of value 203, and that the product of both the digits in 203 is obviously also 2 x 3 = 6.
In our hypothesis that the Torah is a hyper complex projection of interconnected multi-dimension cells, edges, and vertices of varying energy types, frequencies, wavelengths and quanta of energy onto 2-dimensional space, one of those projection points would be the 1820 Tetragrammaton(יהוה) that we see in the Torah. As 1820 is (1792 +28) they could most easily be seen as projections from the 1792 faces of an 8-dimensional hypercube. Moreover, there are precisely 1526 times that the Tetragrammaton(יהוה) appears in the Torah without a prefix, and 1729 times that the exact value (26) of the Tetragrammaton(יהוה) appears in the Torah, which leads us to (1729-1526) = 203 times that the value (26) applies to a word other than the Tetragrammaton(יהוה).
At this point the idea would not be to draw our attention to 203 or the first 3 letters of the Torah yet again, as the redundancy is already beyond. So, what could be the point?
Perhaps, this first verse of 28 letters is more than special. What if it exists as an entity unto itself, a hyper-dimensional, possibly transformational, vehicle integrally connected to every aspect of the Torah yet also severable, like a Merkava or commandship/escape nodule. Then again, we can only see 7 words handwritten on parchment, so anything beyond that is just virtual for now.
It is virtual, like everything you see on your flat computer screen and everything around the world that you think it is connected to. It is just glass, metal, a few circuits, pixels, and photons, slightly 3-dimensional, though mostly 2-dimensional. Look behind it, where are all those connections? Virtual! Do you know for sure that you are having an email exchange with a real person, that the events of a viral video ever really happened, that the algorithm you trusted to search trillions of sources of data, did not cherry pick a few paid for ones for you. Not only can you not trust the world being presented to you on your screen, you have no way of knowing if any of it really exists. Are you going to turn to your TV screen or phone screen for verification?
We are becoming used to accepting virtual as real. Perhaps our consciousness is being prepared for, or just evolving into a state where we are ready to accept a new far more advanced and transformational technology, one that has been preserved for us for thousands of years. Sure, it looks primitive, but how long do you think an iPhone would have lasted if it were given to our ancestors on the side of a mountain 3330 years ago. I can tell you from experience that the battery would not have lasted more than a few hours.
Between The Genesis Prayer, years’ worth of Kabbalahsecrets.com articles and Books, and this extended paper, we have explored deep into the makings of the word Bereshit (בראשית), yet the deeper we get the more there is to find, and the more astounding is the embedded technology. One of the myriad examples of the works of creation, ma‘aseh bereshit, whose initials are MB(42), are once again found in the ordinal value of the 6 letters in the word Bereshit (בראשית): (2,20,1,21,10,22). After partitioning them as (2,20; 1,21; 10; 22), they can be combined and simplified to a set of 4 numbers (22; 22; 10; 22), bringing us back to that important relationship between the 10 sefirot (dimensions) and the 22 pathways between them, and to the relationship between the 22 steps (iterations) between every power of 10. The ancient kabbalists saw the relationship between the tree-of-life and two stacked cubes.
They were primarily concerned with the 10 dimensions and the 22 pathways between them represented by the 22 letters. The true kabbalists, in spite of any modern jewelry or mockery to the contrary never envisioned the tree-of-life as a flat static diagram. A casual observance of the tree shows the overlapping hexagons, which we now know can be viewed as 2-dimensional shadows or projections of a 3-dimensional cube. We also now know that two 3-dimensional stacked cubes is the first step in the expansion to a hypercube or from the projection of a hypercube onto our 3rd dimensional space. Moreover, the 10 sefirot were never balls on a page, but concentric expansions in space, akin to the 210 hypercube. The combination of pathways between them are practically innumerable. This is not to say that they viewed the universe as a cube, only that they viewed it as multiple nested expansions of space, and that they realized that anything we see in this world is a filtered projection from beyond. They strove to take the physical observations of this world and contemplate the nature of the upper dimensions by analyzing the projections that they were observing. That is the lesson in all the travel tales of the Rabbis in the Zohar.
What do the branches of a tree do? They branch out, expand. What governs that expansion? Phi. Tree is Etz (עץ) in Hebrew, a combination of the 16th and 18th letters in the alphabet, just line 1.6180… It is also in gematria sofit 970, as in the cubic length of the Torah’s first word (9.70), as illustrated in the previous section. The garden, as it is written in the Torah is “הגן,” whose numerical value can either be 58, reminiscent of 58 yet again, or 708, as in the value of the upper 42-Letter Name, the triple expansion of the Tetragrammaton (יהוה). As the cautionary tale goes, Adam had full access to the vast expansion of the spiritual (dimensions beyond) universe but once he connected to the limitations of physicality (the Tree of Knowledge of good and evil) he was cut off. Once he began thinking in 3-dimensions and of his own powers of creativity within the bounds of 3 dimensions he was trapped, and could not go back. Our story, the Chronicles of Adam, our journey to get back, began in the 5 verses of chapter 5 of paragraph 13 of the Torah. It began when Adam was 130 years old and begat Seth, whose name is comprised of the last 2 letters of the alef-bet (שת), a hidden reference to the 5 Books of Moses that we would receive after 26 generations at Mt Sinai of numerical value 130, in the year 1313 BCE. That was when we would receive the main tool through whose understanding, we would eventually be able to return.
The letter combination in Seth’s name (שת) is also the final gate of the 231 Gates comprised of the 231 possible pairings of the 22 Letters, as Abraham explains them in the Sefer Yetzirah. This brings up yet another way to view the 248 dimensions in the E8 Lattice, considering that there are currently 17 known particles and forces in our universe, and 231 gates + 17 fundamental particles/forces = 248.
Do you see the similarity in the last two webbed projections? This second one is a 8-Orthoplex, one of the 2160 8-orthoplex that surround each point in the 248 dimensions of the E8 lattice. Any possibility Abraham knew this on some level? Yes, Abraham (248) did predate the Torah by exactly 500 years, but he and the early kabbalists had other tools that allowed him to access it in its spiritual or higher-dimensional form. We do too, and without them, getting beyond the limits of physicality and unleashing the true transformational power of the Torah is very difficult.
Let us talk about Adam’s son, Seth (שת) for a moment. If we apply the common gematria atbash (reverse alphabet) the two final letters at the back of the alphabet line up with the first two letters of the alphabet (אב), meaning father. Together these 4 letters, bookending the alef-bet add up to 703, as in the gematria of the last two words of the first verse, Et H’Ertz, already discussed. The next atbash pair, (ג–ר) has the numerical value 203, as in the same verse’s 2nd word, and as in the 6th Bell Number. The next pair is (ק־ד) has a value of 104 and when added to 703 gives us 807, as in the Seth’s age when he begot his son. The next pair (צ־ה) or (90–5) matches up with the life of Seth’s son Enosh at 905 years old. The number 210 plays a very prominent role in the Torah technology and so it is interesting that 703 + 210 = 913, the Torah’s first word, Bereshit. Moreover, as we just spoke about the 231 gates, we would be remiss if we did not point out that the atbash total of the next 3 letter pairs, (ס־ח,ע־ז,פ־ו) is 231, and the Pe-Vav (פ־ו) combination is 86, the same value as the Torah’s 3rd word. So far, we the 1st, 2nd, 3rd, 6th and 7th of the first 7 words covered by this simple cipher. It is obvious the Creator of the Torah has found yet another way to integrate these 22 building blocks into the complex design of the Torah’s very special first verse. He is probably also sending us a message through the linkage to the relationship of Adam-Seth and Enosh, a message about specific pathways. In hyperspace, Binah, the connections are instantaneous like quantum entanglement, yet when projected onto our world they become pathways. What if the Torah was a mechanism that could integrate the two, a nexus?
Back to Bells. Keep in mind that the sum of the digits in the ordinal values of Bereshit (2,20,1,21,10,22) no matter how they are partitioned is 13, the 4th Bell Prime Index and the value of the 6th word in the Shema (echad), which is indicative of the core concept of the Torah and all its innumerable components, One(ness).
Since the ordinal values on the spectrum of the alef-bet corresponds to a continual spectra from 1 to 400 according an exponential curve of 1.313, the place values of where the letters in a Hebrew word occur can be view the same way we view the elements in our periodic table, whose spectra extends from 400 – 800. And just like the periodic elements these are the specific signatures of the words.
No less profound though is that the sum of these ordinal values (2,20,1,21,10,22) is 76. We would be remiss if we did not point out some of the simplest integral facts before getting to the good stuff, so 7 + 6 = 13 and 7 x 6 = 42. That said, 76 is also the sum of the first 6 Bell Numbers—the sequence beginning with (1,2,5,15,52,203, 877…) up to the significant number 203. And the sum of the digits in these 6 Bell Numbers (1,2,5,15,52,203) is (1+2+5+1+5+5+2+2+0+3) = 26, as in the Tetragrammaton(יהוה), while the sum of the digits of the 7th Bell Number (877): 8+7+7 = 22. Moreover, if you recall from the previous section we delineated the cubic unit length for each word value cubes in the combinations of the Torah’s first verse, and that the unit length for the word Bara (ברא) of numerical value 203 is 5.87713. How convenient that 877 is the 5th Bell Prime and 13 is the 4th Bell Prime Index, and 203 is the 4th Bell prime. If the second word of the Torah was a vertex on one of these hypercubes, all these rare connects would be associated points on sub-cubes and it would all make perfect sense to us why they are interrelated. Indeed, if we could see the universe that way, a whole lot more would make sense.
The 7 Cubes and the Time Limit
Regarding the seven Genesis 43 cubes that collectively form the 43 cube 2701 per side, each unit length for each side of the individual cubes are given by the cube root of each word value or (9.701158, 5.87713, 4.41400, 7.3742, 7.33723, 4.108, and 6.66444) respectively. We just highlighted the significance of the 2nd word value 203 with regards to Bell Numbers. What we did not mention was that the sum of the lengths of the first 2 words was 15.57… as in the sum of the 10 component letters of the alef-bet, meaning that the average of the two is about 7.78
We spoke about the significance of the 7th word’s length of 66.6444 in the previous section, though, we should add the numerical value 444 is that of the Torah phrase “from generation to generation (לדר־ודר) and as we will soon see it too plays a key role with the Bell Prime Indices. Meanwhile, we are currently exactly 66.6 jubilee years from the date the Torah was received in 2448 HC. Moreover, while 66.6 is another way of expressing 2/3, the fraction 444/666 is also 2/3 and Rav Yehuda HaLevi Ashlag of blessed memory, using the 6 alef(א)s of this verse, or 6000, as a starting point and in a series of reductions of 2/3, with the final calculation removing specifically 444 from 666 years came up this this time narrow time period today for the arrival of Moshiach and the final redemption.
Is there a set timeline and time limit built into the Torah and our number system, built into the fabric of the universe? Possibly. The square root of 6 is 2.449, matching the year 1313 BCE given by the exponent (1.313) that gave us the alef-bet scale. The log of 600,000 as in the 600,000 Israelite men at Mt Sinai and the 600,000 component letters in the Torah, is 5.778. We saw earlier the two four-digit strings repeated 3 times each in the first 1000 digits in Pi, 5778 and 2019. We saw how Phi was integrated into the Torah and now note that Phi18 or Phi(6+6+6) = 5778.000. You decide if there is a Divine Calendar or even a fixed one built into the physics and programming of our universe.
This week was the portion of Behar, part of the twin portion Behar-BeChukothai usually read together, the first of which has 57 verses and the second 78. This 57-78 combination is the final one before the Phi proportion split in the Torah in the very next chapter. The extremely apropos theme of this portion was the counting of the jubilee 50-year period and the freedom that the jubilee brings. It is apropos not just because the 50 years are specifically made up of 7 sets of 7 years plus 1, but also because 5778 HC is 66.6 jubilee years since the Torah was received at Sinai in 2448 HC.
Was the Torah designed that way so we would not miss the 5778 Phi connection, or was this part of an advanced circuitry that will automatically make that connection for us. All we know is that this technology is extremely complex and way beyond us right now, so it is hard to say what will happen as this built in time counter clicks down to zero. Even if MacGyver shows up, with so much redundancy, how would he know which wire to snip? Moshiach on the other hand…
We touched on earlier how 441 in the 3rd word length is the numerical value for truth (emet) and is 212 represents the Name of G-d Eyheh. The 3rd word is Elohim. The sum of the first 3 word lengths is 19.99, just about an even 20, meaning the first three words together can form a separate cube of 203 or 8000, possibly reflection both 203 once again and the 80,000 words of the Torah.
The 4th word length is 7.3742 and the sum of the first 4 word lengths is 27.3664. The connections between 73, 37, 42 and the first verse are well documented already and while we saw 273 come up before as in 273 degrees C, absolute zero, etc, 27 is 3 cubed, 36 is 6 squared and 64 is 4 cubed and 8 squared.
The 5th word also connects to 73 and 37 in that its length is 7.3372, and the sum of the word lengths through the 6th word is 42.11, while the sum of the lengths for all 7 is 48.778
Before we return to the Bell Primes one special note that my colleague Moshe noted concerning the last section. Those 7 cubes we have just been discussing are part of the 127 combinations and we noted that 127 was a Mersenne Prime; it is also the 6th prime in a much rarer series called the Primeth Recurrence series, based on a(n + 1) = a(n)th Prime. If we view the prime numbers the way number theorists do, not as isolated occurrences but as a string of numbers in a probable infinite set, each prime has a specific location within that set. For example, 541 is the 100th prime. The Primeth Recurrence series is a subset of the primes, whereby the location of the next prime in the set is given by the value of the previous prime. Starting with the first prime number, 2, the next prime number in the series would be the 2nd prime, which is 3 and the 3rd prime is 5; the 5th prime is 11; the 11th prime is 31; and the 31st prime is 127. If we double (2+3+5+11+31+127) we get 358, Moshiach. Then extending the series to the 7th level, we have 709 as the 127th prime and 709 is the sum of the 7 Doubles (בגדכפרת), part of the triple partition of the 22 letters that we learned about from Abraham in his Sefer Yetzirah.
We should also note that of those possible 127 combinations, each word was utilized 64 times, and the Creator of the Torah wanted us to know we were on the right track with the cubic analysis we have been applying, which is why the numerical value 127 was utilized exactly 64 times in the Torah
So now we know that not only did the universe generated through an exponential scale the values for the 22 Hebrew letters, and them find a way so that splitting them in half sequentially would come up with all these amazing results, and moreover that it also found a way to partition them into 3 mothers, 7 doubles and 12 elementals to generating equations based on the numbers 13 and 42, but we also just learned that it also selected that partitioning to match up with the Primeth Recurrence series? It is time to start asking not just how, but why?
We just personified the universe. Why? Because it seemed natural to assume some intelligence, some amazing and conscious intelligence to it. But a consciousness on the scale of the universe would be God-like?
By the way, those 7 doubles (בגדכפרת) which total 709 actually total 1300 more, or 2009 when the sofit values of caf(ך) and Pe(ף) are added, making 9 letters, and using standard kabbalistic procedures, 2009 + 9 is 2018, or 5778 HC for what it is worth. While we are already in the event horizon, we are also on the cusp of something really special.
Abraham said that these quantum packets of specific energy collectively called the doubles, each controlled or interacted with a different planet in our solar system. If you want to know where to find these 7 doubles, you can find them discreetly orbiting the center of the 42-Letter Name.
Completing Part VI, Section D
The Inner Circle
All the numbers we have been dealing with concerning the Torah’s first verse and its cubic nature, form a circle. They all circle and cycle back on each other, starting with 173, as the sum of the small gematria of the 42-Letter Name. There was 37 and 73 and 127 and 137 and they are all prime numbers. Then there were the offshoots of these numbers like 27 = 128 and 64 with 7 being a prime number and 64 already being a cube.
We begin with 173, the 40th prime. Add to it (37 and 73), the (12th and 21st) primes respectively and we realize that not only is (37 x 73) equal to 2701, the value of the entire first verse, but (12 + 21) is equal to 33, as in the 33 letters of the first 8 words. Next, we realize that their primal positions 40 + 12 + 21 are equal to 73, as in the sum of the integers from 1 – 73 that equal 2701. The circle continues as 137 is the 33rd prime number. And the total number of possible combinations for the 7 first words, 127, is the 31st prime. Together, (33 + 31) = 64, as in the 64 cubic times each of the 7 words could be individually combined. Moreover, just as 73 + 64 = 137, so naturally do the primal locations (40 + 12 + 21) + (33 + 31) = 137.
Then, while (173 + 37 + 73) = 283, the 61st prime, (173 + 37 + 73 + 137 + 127) = 547, the 101st prime. And 101 is the 26th prime, as in the value of the Tetragrammaton (יהוה), with (101 + 26) being equal to 127, the 7th Mersenne Prime and 31st overall Prime once again.
Let us press “pause” for a second, because the Name Israel is exactly found 547 times in the Torah, and its numerical value is 541, the 100th prime, the One that precedes 547, the sum of our Prime core circle of 5. Are the primes, marking places in a cosmic matrix, or are they discreet irreducible prime energy levels, or both? Should we be looking at the prime numbers as the elements in our periodic table perhaps? Are we looking at our universe in the right way? Or is this extremely sophisticated design of the Torah illustrating to us that there is also a much more sophisticated design to the universe as well?
Does it mean anything that the value of the Name Israel, 541 is found 625 times in the Torah, matching the square root of the 3 main Torah elements, 625, found 9 (3 x 3) times in the Torah. Or that the Name Israel is exactly found 547 times in the Torah, and its numerical value is 541, the 100th prime and that 547 + 541 + 1 = 332? Or that 547 is both the sum of out 5 core Prime Genesis Numbers (173 + 37 + 73 + 137 + 127) = 547, and the 101st prime, with 101 – 100 = 1? And since 101 is well known to the kabbalists as the gematria of “Michael,” the archangel protector of Israel, is it possible they were aware of this connection on some level and that Michael was a specific energetic archetype uniquely associated with Israel? In the same way, is the archangel Metatron of numerical value 314 a specific energetic archetype uniquely associated with knowledge? Or the archangel Raziel of numerical value 248, could he be a specific energetic archetype uniquely associated with secret knowledge? There are only 7 of them. It is not as if their names of numerical equivalents were chosen randomly.
We can add to that list of select core primes, the sum of the unique Primeth Recurrence series through 127 and get 179, the 41st Prime. And while (173 and 137) have primal locations of (40 and 33) respectively, which sum to 73, the sum of (173 + 137) + (40 + 33) = 383, the 76th prime and 76 is the ordinal value, as we know, of the Torah’s first word.
What the rest of our inner circle of primes have in common is found in their locations: 73 is the 21st prime; 127 is the 31st one; 179 is the 41st one; 283 is the 61st one; and 547 is the 101st one. If the primes were laid out as a 10 by x matrix, they would all line up in the first column (21st, 31st, 41st, 61st, 101st). And along with our discussion of the negative or null space within the first verse, we see that 173 – (37 + 73) = 63, as in the 63 null space cells for each of the 127 combinations. And considering 173 is the 40th prime and 37 and 73 are the 12th and 21st primes respectively, we get 40 – (12 + 21) = 7, which is the 4th prime, and 7 x 4 = 28, while the 28th prime is 107, and the sum of the integers from 1-107 is 5778.
As far as complementary numbers to this prime set, (173 -73) = 100; and (137 – 37) = 100; then there is 27 = 128; and (128 – 127) = 1; and (128 – 28 letters) = 100, which leads to 107 – 7 = 100.
Finally, 37 + 73 + 137 + 173 = 420. We could add 4 for the 4 elements in the equation, as all the preeminent kabbalists would, to get 424, or just leave it as 10 x 42.
Time to stop the presses again. Remember how (173 + 137 + 127 + 73 + 37) = 547, the 101st prime and Israel was found 547 times in the Torah, well…. The numerical value 173 is found 13 times in the Torah; that of 137 is found 57 times; that of 127 is incredibly found 64 times, considering their relationship in the combinations of the 7 words; that of 73 is found 89 times; and that of 37 is found 555 times. Collectively, the 5 core primes total 778. Need we say more.
Where is the Pilot’s Seat to this Ship?
If the first verse is a command module of sorts, where is the pilot’s seat? Another question could be who is the pilot? As with any treasure hunt, we need to follow the clues. There are six visible alefs(א) in the Torah’s first verse for a total name value of 6 x 111 or 666. They occur in every word of the verse except the 5th word, H’Shamayim (השמים), meaning “The Heavens.” The three central letters of H’Shamayim (השמים) are the same 3 letters in Moshiach (משיח). If we substitute Moshiach (משיח) of numerical value 358 for H’Shamayim (השמים) of numerical value 395 the difference is 37, meaning a 37-unit reduction in the value of the first verse from 2701 to 2664. While 37 is telling as one of our Prime Core Numbers, and 64 is one of our main cubic numbers also associated with that verse, 2664 is exactly 4 times 666. It can also be viewed as 24 x 111 or 4! X 111, or 4 factorial times alef (א). In essence, by substituting Moshiach (משיח) for H’Shamayim (השמים), we have increased the number of alefs(א) by 18 from 6 to 24, a 4-fold increase. Naturally, 2664 also equals 37 x 72. Moreover, through the resultant 2664 and 4! the Tetragrammaton(יהוה) was injected into the equation. Moreover, while those 18 alefs(א) are found in the Life, Chai (חי) of Moshiach (משיח), the swapped-out letters (הם) of numerical value 45 is that of Adam or man. The square root of 18 is 4.242640… as in 424, the numerical value of Moshiach Ben David, and as in 26 and 64 once again.
There is also a relationship between 2664 and the 2669 times the value (401) of the word Et (את), the 4th word and article that precedes H’Shamayim (השמים) as found in the Torah. While the difference between 2669 and 2664 is 5 like the 5th word, the complete numerical value of the word Et (את) is 401 + 23 = 424, that of Moshiach Ben David. Another way to get to 2669, is utilizing the word for “The Annointed One, (המשיח)” which includes the hei(ה) of H’Shamayim (השמים) as well. As a final note on that matter, some look at the 95 (המים) in 395 (השמים), not just as the spiritual waters or hyperspace, but as “The King (המלך).” The king and the waters share a few mathematical properties in common, which is not so common for most words in the Torah. While both have the same gematria of 90 without the prefix “the” and 95 with it, both have not only the same number of letters, but both also share the same ordinal value of 36, or 41 with the prefix hei(ה). They also share the same small gematria value, (4+1+4) = (4+3+2) = 9 or alternatively (5+4+1+4) = (5+4+3+2) = 14. These properties hold true for any word comprised on the same exact root letters.
Now, let us look for more clues inside the Torah’s 5th word, H’Shamayim (השמים) of numerical value 395. It is simple arithmetic that 395 = (400 – 5), which equals (5 x 80) – 5, reminiscent of the Torah’s 80,000 – 52 words, 58 total elements, and 5845 verses. As the Shin(ש) in (השמים) is 300, and the Mem(מם) is 80, the Hey(ה) is 5 and the Yud(י) is 10 or 4+3+2+1, we also have the 304,805 letters represented. Though more significant is the connection between the Mem(מם) as 80, the value of the letter Pe(פ), not just because of the 4805 Pes(פ), in the Torah, but because it is the same numerical value as the Hebrew word for Throne (כס). Kes(כס) and Mem(מם) also share the same ordinal value, 26. Now the name of the letter Pe(פא) is spelled out with the letter alef(א), which is apropos since the word for throne, Kiseh(כסא), appears in the Torah with the additional alef(א). The clue for the alef(א) hidden within the energetic confines of the letter Pe(פ) is found in its spiraling design Pe(פ), which we know from the Arizal purposely conceals a letter Bet (ב).
As opposed to the pure math in the other sections, this section is all just conjecture. We are not saying that a mini-Moshiach is climbing into the 5th word of the Torah. Nevertheless, the space provided by the missing alef (א) in the 5th word allows for Moshiach to harness the multi-dimensional hypercube and engage the hyperdrive for us. The Torah hints that Moses (משה) did it as well. The Name or Triplet Moshe (משה) in found in the 5th word H’Shamayim (השמים) and also as in the 5th triplet (מהש) of the 72 Triplets. The Torah tells us that Moshe (השמים) ascended Mt Sinai for 40 days (השמים) to receive the 10 (השמים) Commandments. Is it odd that the Zohar would tell us that Moses received the 173 keys to Heaven (השמים) and that 173 is the 40th prime? Or is it Rabbi Shimon Bar Yochai understood what he was talking about 1900 years ago. Neither primes, nor mathematics other than simple gematria is ever discussed in the Zohar, so he was not reverse engineering the word for Heaven, he was making legitimate energetic connections to it. We are ones fortunate enough today to be able to partially reverse engineer it to graps a little of what he knew intuitively. Oddly, the small gematria of ‘the waters” (5*4*1*4) = 80 and “The King” (5*4*3*2) = 120, a possible reference to Moses’ 80 years prior to Mt Sinai, and his total 120-year lifespan, as promised by G-d in Genesis 6:3.
How do we know an alef (א) was consciously or purposefully missing? We can infer this from the relationship between the 42-Letter Name of numerical value 3701 and the first verse of numerical value 2701 in that 1/3701 = .0002702 which represents the additional alef (א). It would seem that a place, or opportunity, was figuratively reserved for both Moshe and Moshiach. Of course, the difference between Moshe and Moshiach is 358 – 345 = 13. And in case you had not noticed, those 173 keys, or the small gematria of the 42-Letter Name, 173, is 3701 in reverse.
My teacher, Rav Brandwein of blessed memory, once explained to me, regarding the 42-Letter Name that it takes two drops from below to awaken one above, and while 3701 – 2701 = 1000, (2 x 173) – 345 (Moshe) = 1.
What is all this telling us? What are partitions? They are combinations of elements.
When these elements are the letters in the words of the Torah, they are no longer simple number grouping. All the great kabbalists throughout time decoded the Torah by permuting and recombining the letters, including Rav Abraham Abulafia in numerous texts, Rav Isaac Luria and Rabbi Chaim Vital in the Kitve Ari, Rabbi Shimon Bar Yochai in the Zohar, and Abraham Avinu in the Sefer Yetzirah. Partitioning is the first step, followed by combinatorics, then permutations, then alpha-numeric translation and evaluation through the gematria ciphers. As with all processes, the first step is always the most difficult. Whether it was partitioning the energy vibration levels and 11 dimensions (including time) in the creation of the universe; or partitioning the alef-bet, representative of those levels, into two sets of 11 letters; or then partitioning the Torah into 79,975 words, 5845 verses, 54 portions, 670 paragraphs, 187 chapters and the 5 Books, that first step eventually gave rise to infinite dimensionality in which every eventuality was originally conceived and which lay latent from the outset. That mouthful means “the end was in the beginning.” Just as choosing to walk in a door or walk past it will change every moment of your life from then on, so too the first split guided everything that followed.
We have already established that the 22 letters are elements to be partitioned. The Sefer Yetzirah calls them “building blocks,” which it breaks down into 3 Mothers, 7 Doubles, and 12 Elementals.” The Indices of the 7 known Bell Primes are 2, 3, 7, 13, 42, 55, 2841 and we have accounted for the numbers 13, 42 and 55 in terms of the Torah and the Shema prayer derived from it. Given unlimited efficiency, every number (and letter) would have at least one specific purpose; therefore, the numbers 2, 3 and 7 in the Bell Primes add up to 12, as in the 12 Elementals, especially given that 3 could represent the 3 Mothers and 7, the 7 Doubles.
Sefer Yetzirah 1:2
Ten Sefirot of Nothingness
And 22 Foundation Letters:
And Twelve Elementals
Of course, we would be remiss if we did not point out that 2 x 3 x 7 = 42. Or that 1/2 + 1/3 + 1/7 + 1/42 = 1
Now go ask Google what is the answer to life, the universe and everything. The answer will always be 42. Regardless of why that is, do you think that it is just a cosmic coincidence? The end is in the beginning. Baseball is a game of numbers, so what number do you think hangs over every stadium? 42.
Even the Name Google: In order to demonstrate the computational magnitude, enormity, and the rarity of the 7 Bell Prime Indices (2, 3, 7, 13, 42, 55, 2841), we will give you an idea what they actually represent. Each number corresponds to their respective Bell Prime (2, 5, 877, 27644437, 35742549198872617291353508656626642567, and 359334085968622831041960188598043661065388726959079837) and that only takes us to 55. You can imagine what kind of enormous number corresponds to the 2841st index.
Given all that, as my colleague Peter recently pointed out, the first six Bell Prime Indices (2 + 3 + 7 + 13 + 42 + 55) add up to 122, which given the exceedingly strong (13,42,55) Shema connection, the sum 122 can be seen as analogous to the middle 122-word paragraph of the Shema that came straight out of Devarim 11:13-21. So at this point, the 248 words of the Shema are split into 6 words of 25 letters, like the 625 square root of the Torah’s main elements, the 42-word paragraph, the middle (2+3+7+13+42+55) word paragraph and the final 72-word one plus the 6 silent words. Out of the 248 words, the first verse and the first and last paragraphs together total (6+42+72) = 120 words. This once again figuratively connects Moshe and Abraham, and once again connects one crucial partitioning to another, the 22 verses of the Shema to the 22 letters of the Alef-bet.
Is it feasible to believe that any man, even Moses, could make these calculations? That he would do so just so that he could incorporate them into the Shema and Bereshit?
Just in case we were to think this alignment was just a beautiful coincidence and not the work of a powerful supercomputer, or more likely, the infinite mind of the Creator, there are a few more facts we should mention. First of all, there are exactly 42 ways to partition 10 elements, like the 10 sefirot or 10 dimensions. And 55 is both the sum of the integers from 1 to 10, and also the 10th Fibonacci Number, the number series based on the Phi proportion. Moreover, 13 is the 7th Fibonacci number and there are exactly 7 combinations of Fibonacci numbers within those first 10 Fibonacci numbers that sum to 42. As we will see later in this series, there are even more significant and singular ways the universe is connecting 10 and 42 and 1 and 42. If we were looking for a way to access the freedom of the 10 dimensional hyperspace, has the Torah and the universe given us enough clues yet?
In reviewing the Bell Prime Indices we see that 13 x 42 x 55 = 30030, or 10 x 3003, which is the sum of the gematria of the first 8 words (33 letters) of the Torah. It is also the sum of the integers from 1 -77 and there are 77 ways to partition the 12 Elementals. If we divide instead, we get 55/42/13 = .10073260073. Once again seeing an indicative key number (26) flanked by the number 73, meaning wisdom as previously explained. Last time, it was 314 (Shaddai); this time it is the Tetragrammaton (יהוה) of value 26, and of course the first verse has a value equal to the sum of the integers from 1 – 73.
Moreover, the triplet 600 in 55/42/13 = .10073260073 may represent the product of the digits in (1 x 3 x 4 x 2 x 5 x 5), and/or the 600 Egyptian chariots that chased the 600,000 Israelite men out of Egypt. If we sum those same digits we get (1+3+4+2+5+5) = 20, spiritually and kabbalistically analogous to Keter (כתר), the highest dimension, because the Hebrew word for 20, Esrim (עשרים), shares the same gematria of 620, which we also find by adding the results of our Product (600) and our sum (20).
(1 x 3 x 4 x 2 x 5 x 5) + (1 + 3 + 4 + 2 + 5 + 5) = 620 (כתר)
We mentioned earlier that all Hebrew words have triplet root letters and the root of Keter (כתר) is Kater (כתר), meaning surrounding, as in the endless surrounding the Tree-of-life in the center of the garden. This is why the limit of the height of a sukkah in the holiday of Sukkot is 20 cubits, and why the 620 letters of the 10 Commandments was in chapter 20 of Exodus, and also why there are 62 letter Yuds(י) of numerical value 10 each within those 10 Commandments. Moreover the 10 Commandments begin at the 107,007th letter in the Torah, perhaps reminiscent to .10073260073, and they end at the 62nd paragraph. Intelligent design!
As for a little contextual symmetry that steps beyond the Torah and into our world today. With its present borders, including the West Bank, East Jerusalem and the Golan Heights, Israel is exactly 11,466 square miles, which when converted to time, is 54 minutes shy of precisely 8 days, the time necessary for a covenant (brit). In the 54th paragraph of the Book of Shemot, we find the 10 Commandments at letter # 107,007 and chapter 70 in the Torah. The square root of those specific square miles ties right in, as if it were preplanned thousands of years ago: √11466 = 107.07.
We showed the integration of 6 of the 7 Bell Prime Indices (2, 3, 7, 13, 42, 55, 2841), but what of the 7th Bell Prime Index (2841) and how does it relate to the first 7-word verse of the Torah beside the obvious 28 letters? In our introduction article to this series we let it be known that we would be integrating and aligning the Torah’s first verse, the Shema’s first verse and the 42-Letter Name as the three entry portals to the world beyond (Olam Haba, the sea of Binah, hyperspace)–emergency escape valves if you will. We saw how the gematria of each respectively added up to 2701 + 1118 + 3701 = 7520 so that they can be split in two to equal the pivot point on the Divine Calendar: 3760 HC (0 CE)
We should note here that 376 is the gematria of the most familiar Hebrew word, Shalom (שלום), meaning Peace. It also means Hello!
We also saw how the 6th of these elements, 55, corresponded with the 6th Bell number, (1,2,5,15,52 203, 877…) which was the sum of the first 3 letters of the Torah, etc.
If we pair up and add the 7th Bell Prime Index 2841 with the 7th Bell Number (877), we get (2841 + 877) = 3718, and 3718 + 42 = 3760 (0 CE).
In reflection of the 7th Bell and the number 42, if we look at the number 42 as the 4th root of 2, we get:
Earlier, we applied the gematria cipher of the “product/sum” to the total gematria of the Torah. Applying it to the loose relationship between 2841 and 877 gives us (2841 x 877)/(2841+877) = 670.13, as in the 670 paragraphs in the Torah, and 13 once again. One notable aspect of this is that there are 13 digits in the 7 Bell Primes and 13 digits in the 7 Bell Prime Indices. And 13 digits in the 7 first elements of the Primeth Recurrence series. In the next article in this series we will see just what an integral roll the number 13 plays. Is it a coincidence the Torah’s Creator built it into the Torah’s very first word, bereshit of numerical value 913? Is it a coincidence certain dark forces told the world that 13 was unlucky and that it should be erased from our buildings and elevators.
Another oddity about these 7 unique Bell Prime Indices (2, 3, 7, 13, 42, 55, 2841) is that their digits when partitioned as |2, 3, (2+3), (7+1+3), (4+2+5+5+2+8+4+1)| = |2, 3, 5, 11, 31| matching the Primeth Recurrence series (2, 3, 5, 11, 31…) perfectly. Einstein said, “God doesn’t play dice with the universe.” If He does, they are loaded.
Meanwhile, the sum of the digits in the 7 Bell Numbers is (1+2+5+1+5+5+2+2+0+3+8+7+7) is 48, as in the sum of the cubic lengths of all 7 Words in the first verse 48.778. Go figure!
And just like the 6 Bell Number digits that equaled 26, so too do the 6 Primeth Recurrence series digits (2+3+5+1+1+3+1+1+2+7). It is like someone is putting their fingerprint on all these rare “naturally occurring series” and all the equations that result from their interactions. The Tetragrammaton (יהוה) = 26, just like the 26 digits in the 7 elements of each of the two Bell Primes series combined.
It is as if you were in a lab and mixing whatever odd chemicals you could find in random ways and every time the reaction gave you similar results, the exact same amount of free energy.
We have found several instances so far in which the mathematics integrated into the Torah’s first 7 words and first 8 words have significance far beyond these verses. Yet another example is found in the simple division of the sum of the 8 words by the sum of the 7 words or 3003/2701 = 1.1118, giving us One(1) and 1118, the value of the Shema’s first verse.
Yet again, the Shema and the Torah’s first verse are integrated.
Moreover, there are 7 words and 8 words, 28 letters and 33 letters in the two verses respectively; their sum of (7 + 8 + 28 + 33) = 76, the ordinal value of the Torah’s first word (Bereshit).
We also see that the 7 words of the Torah’s first verse total 2701, which is the sum of integers from 1 – 73. Divide that by its words and letters, 2701/(7 +28) = 77.17… Then juxtapose that with the value of the 8 first words of the Torah, 3003, which is the sum of integers from 1 – 77. Divide that by its words and verses, 3003/(8 +33) = 73.24… Thus, the results of these two simple equations, 77 for the 7 words and 73 for the 8 words, reverse or crisscross their given integer sums:
Most of the time, the Torah’s Creator highlights things through redundancy yet sometimes He highlights things by omission. In the Torah we have the letters and the blank parchment they are written on. This same attribute applies to the universe as well. The Kabbalists call this black fire and white fire. Certainly, this applies in the Torah, where the highest word value is 1500 and lowest 3, bounding the set of Torah word values and limiting it to 1498 possibilities, matching the value of the combined 1st, 2nd, 3rd, and 7th words of the Torah’s first verse (913, 203, 86, and 296). And since there are 1024 actual word values used, (1498 – 1024) possible values are not utilized, making the size of this empty set, 474, as in the 11th dimension (sefira), Da’at or Knowledge. Given the 1024 vertices of the 10-dimensional cube, it is possible that there are somehow also 474 virtual vertices containing hidden knowledge.
As for white fire of hidden knowledge in the universe itself, there is only one positive integer under 100 that man and his computers have not been able to find a solution to the Diophantine equation (a3 + b3 + c3) that do not comply with for technical reasons either (9K + 4) or (9K +5). So far, they have checked all the possibilities through all the combinations through 1016 digits. That number: 42.
And if you recall, dividing the number 9 by the numerical string formed by the 42-Letter Name of G-d gave us 9/.1230490… = 73.141593 or 70 + Pi. Was that extraordinary equation hinted at, alluded to, or integrated with the cubic length of the “bereshit:” 9.70?
Things are starting to take shape, albeit one that is somewhat beyond our comprehension. Nevertheless, we were never meant to figure it all out, just to understand enough to make contact. In the next article, everything comes full circle, literally.
Part VII The Shift
We have pretty well established that neither the Hebrew Alphabet, nor the 54-unit shift from it to Phi(ϕ) was arbitrary in the slightest. In order to better understand the nature and relationship of this 54-unit shift, let us visualize these shifting proportions of numbers, not as a line or rectangle but as the circumference and area of a circle.
By splitting things into the phi proportion, we are splitting it into a proportion of Phi(ϕ) and 1/ Phi(ϕ). One (1) in this case is the whole value of the alphabet, 1495.
The Odd Ordinal Letter Proportion represents:
The Even Ordinal Letter Proportion represents:
The 1/Phi(ϕ) Letter Proportion represents:
The Phi(ϕ) Letter Proportion represents:
This angle 137.50֯ is the Phi(ϕ) angle and is the reason for nature’s efficiency in terms of growth. If a flower, tree, seashell, galaxy or anything branches outward, one turn of either 137.50֯ or 222.50֯ at a time, as it spirals outward from a central point, it will achieve the most efficient use of time and space possible, thus exerting the least amount of energy necessary for the maximum growth and preservation and propagation of life.
Pi is an amazing irrational number of course, but if we were to turn the screws of the spiral according the Pi proportion by using 1/3.14159… instead of 1.618033, as an engine of growth, the result would be 22 spokes of a wheel, analogous to the 22 Letters of the alef-bet, but not the hyper-efficiency as shown in the accompanying picture of the Sunflower.
All the above charts are simple arithmetic and logical as to why they work out that way. What is not logical is why the greater Phi(ϕ) angle, 222.50֯ less the smaller odd/even angle, 150.50֯, is equal to 72֯ , which was the proportion of the smaller odd/even split to the larger one: (625/870 = 72). There is no mathematical reason that this should happen, especially around such an important number for the Torah.
Conversely, the lesser Phi(ϕ) angle 137.50֯ plus the odd angle 150.50֯ equals 288֯, which is (360֯ less 72֯). With the entire Torah based on the number 5, as we have already seen, and with Phi(ϕ) mathematically based on is it more than curious that 72 is 1/5 of 360, one-fifth of the circle. In Kabbalah 288 is representative of the 288 primordial Holy Sparks that Man was charged with recuperating in order to bring about the final redemption.
Then when we use instead the two larger angles, the larger Even angle and the Greater Phi(ϕ) angle 222.50֯ we get(209.50֯ + 222.50֯ ) = 432֯ = (360֯ + 72֯) and the frequency 432 Hz, derivable from the Torah’s first verse is a topic for a whole other paper.
This last relationship of 6/5 times 360 degrees is interesting because a circle is dependent on Pi (3.14159…) for its formation utilizing the formula:
This is not causational and may just be coincidental, though it may also be a simple way of showing us that the odd/even ordinal splitting of the alphabet also takes into account the relationship between Phi and Pi.
We only discussed a shift of 54 units, which was equal to a shift of 13 degrees; nevertheless, the sine of an angle of 54֯ is also connected to Phi.
What is also not clear at all is why 137.5/924 = 13%. Why does the resultant angle divided by the value of the larger section (924) also equal 13? If you are wondering what the relationship is between 137.50֯ and 924 units, so are we because one does not exist.
As for the separate relationship between 137.5 and 5 cubits, we will get into that in a later section.
This may be a good point to remind ourselves that the numbers associated with the alef-bet and carved in stone for millennia are more complicated than that. Like the location of the electrons encircling the nuclei of the atom, they are the probabilities within the energetic bandwidth along the exponential curve given by 1.313, and like the 4th word of the Torah, they are anchored by 1 and 400.
There is no reason other than divine intent. What all these angle relationships are telling us is that placing the odd/even ordinal split into a circular form and comparing it with Phi(ϕ) is not only valid, but was part of the initial intent. It is also telling us that all along we have been lead to the number 13.
Do you believe in coincidences? That 1st chapter in Bamidbar that split the Torah into the Phi proportion in terms of each of its main elements (words, letters and verses), the one with 54 verses, delineated 13 Tribes.
So why is the 54-shift being equivalent to 13֯ significant? Because the number 13, as a gematria value has always been universally recognized as the numerical value of Ahava (אהבה), meaning love and Echad (אחד), meaning One.
In Zechariah 14:7 we learn that there will come a day when the darkness will be no more, the night and evening will be no more and there will only be light; this is called “One” day (יוֹם-אֶחָד) , in which all will be restored as before anything was split, before the light was split. It is a reset and a redo because the last time around at the end of Day one (יוֹם-אֶחָד) there was already division of Light and darkness (Bereshit 1:4-5). This One day, or day of perpetual unity, shall be known as the Lord’s Day. Hashem’s Day.
We posit that this is the “One” that the 13֯ shift is hinting at. This profound 7-word 26-letter verse that connects to the same pure Oneness concept of the 6-word first verse of the Shema and the Torah’s 7-word first verse, has very interesting properties. First of all, the 7 final letters add up to 625, or the square root of the Torah’s main elements, and the final letters of the last 6 words sum to 25, evocative of the Odd Ordinal Number splitting of the alef-bet.
The rest of the letters in the verse equal 444, the gematria of the important Torah phrase “from generation to generation (לדר־ודר).” The number 444 is also approximately equal to One(1) continually divided by the Bell Prime Indices.
Next, the 3 central words (הַהוּא, יִהְיֶה יְהוָה) add up to 73, as in the Torah’s first verse. Also, at 618, the value of the verse’s first word is evocative of phi (.6180). Moreover, there are 26 letters in the verse, reflecting the Tetragrammaton (יהוה), the central word in the verse. Meanwhile, the 10 letters in Echad Ushmo Echad (אחד־ושמו־אחד) add up to 378, the sum of the numbers from 1 – 27 as in 33 and the 27 Letters of the complete Hebrew Alef-bet, whose total gematria is 4995 or (5000 -5) or 5(1000-1). This is evocative of the 1000 unit concept of the 72 Triplets, the 1000 letters of the Shema, and the 1000-unit different between the first verse and the 42-Letter Name, coupled with the concept of One(1), and the Unit of 5 at the core of Phi and the Torah. And that is just the beginning.
The Lord is One is a huge concept that includes a wholeness before anything was split, any division. You can just look around us today and see the anger, hatred, havoc and strife that division sews. All the technology embedded in the Torah is designed to focus us on reuniting, on unity with the Creation and the Creator, with the Light before the darkness. Oneness. If you are not a conscious part of the matrix (virtual or real, simulation or physical) you just a prisoner of it. In order to get there, to the state of Oneness, there is a shift we must make. First, we must awaken. The Torah is providing us with all the clues how to make that shift, how to dial into that frequency of Oneness, how to awaken.
Oneness is One with the Creator or Creative forces of the greater universe. It is not singing kumbaya because you received a mass twitter feed or shouting “we are one” at a rally or staged event. That is manipulation. Oneness awakens within. This is why there was 3 days of fasting before the unity of the Jews in the Megillat Ester. They needed to separate from physicality. It is the same principle on the Day of atONEment.
If you recall, we stated early on, before we split the alef-bet in two, that the Hebrew alphabet was designed according to an exponential scale based on a factor of 1.313, which is the inverse of the logarithmic scale, so how apropos is it that the logarithm of 13 is 1.11, mimicking the numerical value (111) of the first letters of the alphabet Alef(אלף).
Phi(ϕ) is a very special mathematical constant and like Pi, if it did not exist, neither would we. Our physicality could not exist without the scaffolding that maintains it anymore than a building can exist without the metal or wood framing that gives it its basic shape. Before we reveal Phi’s absolute relationship with the number 1, we want to remind you about the alphabet and Phi(ϕ) splits with regards to 1.
Adding the digits in the odd/even ordinal split:
6 + 2 + 5 + 8 + 7 + 0 = 28 2 + 8 = 1 (One)
Adding the digits in the Phi(ϕ) split:
5 + 7 + 1 + 9 + 2 + 4 = 28 2 + 8 = 1 (One)
Adding the digits of the total value of the alef-bet plus the shift of 54:
The number 13 reduces to 1 (One) in yet another way. It is part of the set of “happy” numbers, whose digits when squared then added and the process continually repeated, eventual reduce to 1. Other happy numbers are 7, 10, 28, 70…
Part of the beauty and efficiency of Phi (ϕ) is its source: 1 (One). Phi (ϕ) can be generated by utilizing 1 single number, the number 1 (One). It is true that any number can be generated by adding 1, for example 5 is (1 + 1 + 1 + 1 +1) but that is cheating a bit and Phi (ϕ) is an irrational number (1.618033887…) so adding 1+1 does not work; it only works with whole numbers. That said, the continual fraction expansion of Phi (ϕ), in other words, Phi (ϕ) as an infinite fraction is:
The Shift is a Shift Towards One
Every irrational number can easily be written as an infinite fraction. Of them all, Phi (ϕ) is the most difficult and is unique in that it has exactly 1 numeral. Every irrational number serves a specific purpose in the universe. Every number serves a purpose in the Torah; every number can be a heavenly portal if approached from the right paths. It appears as if Phi (ϕ) has a direct route.
As strange as it is, the Phi (ϕ) split number 924 is found at the center of the 13th line of Pascal’s triangle.
There are numerous Torah numbers embedded in the palindromic Pascal’s pyramid, but the beauty in it lies in its simplicity, and that so many mathematical series and functions can be generated from it so easily: the Fibonacci number series that is directly proportionate to Phi (ϕ); the sequence of 2n by adding up the numbers in the rows; the sequence of 11n by using the small gematria of each row’s number; and so many other sequences.
The Name Moshe (משה) breaks down in terms of its ordinal value into Mem(מ), 13, and Shin-Hei(שה), 26, or Adonai Echad (אחד יהוה). The assignation, Moshiach (משיח) breaks down in terms of its ordinal value into Mem(מ), 13, and Shin-Yud-Chet(שיח), 39, or Echad Adonai Echad (אחד יהוה אחד).
Is there any doubt behind the guiding principles of the launch codes?
So how do we get a ticket to this hyperspace freedom adventure ride? The cost of the ticket is different for all of us and is wholly dependent on our individual attachment to physicality. The price of the ticket is free, but the height bar is set at “Awoken.” That’s why we refer to the tzaddikim as giants. If you cannot let go, you cannot board—it is as simple as that.
And in case we think that the shift will be made for us from above rather than of our own volition and as a result of our own actions, we need only look to the hint provided in the Torah’s first verse once again. The ordinal value of the final word, “the earth (הארצ)” is 26 + 18 = 44. The good news is the that the message also reads “G-d Lives (יח יהוה)” and Phi (ϕ)2 as 2.618. Which leads us to our next section where we examine possible launch codes and sequences, metaphorically and metaphysically, and explore one of the tools given to us to foster that awakening.
Part VIII: Phi (ϕ) and Pi and the 42-Letter Name
A Few Gifts from Shavuot:
The 10 Utterances
I realized this Shavuot, during the all-night Torah study, that not even people very well versed in the teachings of the Torah have a clue as to the power at their fingertips. I was with Chabad and their intentions are terrific, warm and pure, and their knowledge is deep, strong and wonderful, yet… It is not wondrous. The Torah is not just a document with G-d’s words written on it; it is a projection of and by extension a part of the Creator Himself. It is a way (an interface) for us to communicate with Him, a way (a blueprint) that He could use in Genesis 1:26 in the 8th Utterance, to create man “with our[His] image and likeness.
We must no longer view the Torah as something external to us. It is, and has never been, a physical article with spiritual writings and spiritual insights. It is purely spiritual (other dimensional) and like our consciousness we can become one with it. At this point in time, we must, necessarily become one with it. This is a lot easily than it would appear and we have been, and are being, given tools to help us accomplish that. It all starts with desire. Once the focal point of our desire shifted from the Tree-of-Life at the center of the spiritual plane to the Tree-of-Knowledge at the fringe we shifted to physicality and nearly all our desires became selfish as opposed to selfless. We must shift back.
We passed the point of no return and each passing day it becomes more difficult for people to even see physicality for what it is. Yet, the same tool(s) we were given on day one are still there for us to harness, and the Creator is expanding our insights into them exponentially.
It is true there are multiple fronts of awakening going on around the planet and the truth about our past and reality is being filled in and exposed at an astounding rate, which is due to the event horizon, which we explain at the end of this series when we tackle the physics of time and reality. If you spend any time online researching, exploring, you can see for yourself that privileged information about people, events, history from the past near and far is suddenly appearing out of nowhere and filling in blanks from places you looked at a few years ago, last year, or only yesterday. This is not because of better algorithms; it is in spite of them, in spite of them constantly being tweaked with bias and an intention to delude, defraud, and obscure reality. The walls of illusion are crumbling despite man’s best efforts to prop them up. That is the nature of the event horizon. That is its similarity with the event horizon that surrounds a black hole where everything still exists yet gets disjointed and broken apart and reality folds back itself.
People, including prominent and eminent scientists, are waking up to visions of multiple universes, multiple realities, multiple dimensions, simulation theories, visions of consciousness as separate from our bodies, and beautiful visions of spiritual space where unity and oneness reigns, and that is a great thing. You must awaken too. Just ask yourself two questions as you do. Is whatever modality of awakening (and thank G-d there are now many) that is being offered to me being charged for, and are they giving me new specific knowledge from that spiritual space to help me get there. If you are being charged for it, then they are based on physicality and want to bring you down with them. If they are giving you old knowledge that you could have read in a book on your own, then they are just charlatans. If they are just presenting pretty pictures and broad concepts, be grateful for what you got out of it, and keep looking because their connection to the spiritual is limited. They must be connected in order to download NEW knowledge; if they are not connected how can they help you to connect, which should be your goal. Every day, new wondrous insights will spontaneously appear in our world. I encourage you to keep soaking them up and weeding out the rest, and if you find something great, some new knowledge that can help us, please share it in the comments. We all grow together. We will all connect together.
That said, we just celebrated Shavuot and the reception of the Torah at mount Sinai. Three of the many important connections we make on Shavuot are to read the first chapter of the Torah, the acts of Creation; to read the 10 Commandments, and to do a mikve. They are all interrelated in multiple ways. The connection we are going to discuss today is through the 10 Utterances. We know from the Zohar, Chazal, and the Arizal that both the 10 Commandments and the 10 acts of Creation are called the 10 Utterances and both involve recombination of the Hebrew letters.>We are not going to get that complicated here; you can read elsewhere how they relate to one another. We are going to make some deeper connections for ourselves to the 9 plus 1 acts of Creation in order to better understand the internal dynamics of the Torah and its source codes. There are 10 Utterances in total, but 9 of them begin with “G-d said, Vayomer Elohim” and the 10th with “G-d said to them, Vayomer Lahem Elohim.” The numerical value sofit of the 10 letters in Vayomer Elohim (ויאמר אלהים) is 903, as in the sum of all the integers from 1 –42.
These are the nine verses: 1:3, corresponding to the 1st day of Creation; 1:6 corresponding to the 2nd day; 1:9 and 1:11 corresponding to the 3rd day; 1:14 corresponding to the 4th day; 1:20 corresponding to the 5th day; and 1:24, 1:26, and 1:29 corresponding to the 6th day.
The sum of (1,2,3,3,4,5,6,6,6) days is 36, of the verses is 142 and chapters, 9, totaling 187, as in the 187 chapters in the entire Torah.
While the sum of the 9 chapters and 142 verses is 151, the value of the spelled-out higher Name Ehyeh (אהיה) and of the word, mikve.
Each one of the Utterances begins with “Vayomer Elohim,” connected to the number 42 as we just explained, followed by a command to the elements or to the hyperspace. Three of those commands were passive as in “there shall be” followed by a noun. If we sum those 9 commands they sum to (232 + 405 + 122 + 705 + 666 + 606 + 497 + 425 + 60) = 3718, which if you recall was the same result as when we paired up the 7th Bell Prime Index 2841 with the 7th Bell Number (877), and got (2841 + 877) = 3718. What is remarkable about both these connections is that 3718 + 42 = 3760 (0 CE). Both take into account the missing tool, one that was obviously there the Torah was created and when the thought of a mathematical universe was generated.
On the other hand, when we add these nine Utterances without the 3 “There shall be(יהי)” and just leave the nouns–Light, firmament, and lights—the total including the 187 delineated above is 3830, as in the year the final exile began with the destruction of the Second Holy Temple, in 70 CE.
The 232 value of “There shall be Light” is easily recognizable as the sum of the 4 aspects of the Tetragrammaton, and is very fitting. Also, the 5th one, “There shall be [heavenly] lights,” as 666 is notable, but the 6th one or 606 is different. The sum of all 9 of those Vayomer Elohim or 9 x 903 is 8127 and we find 8127 at the 606th digit in Pi, and the sum of all the digits in Pi counting backward from 1000 through the 8127 string is 1775. The significance of this is that 1775 is the sum of the 27 letters of the Hebrew alphabet, whose square root is 42.130… or 42 at Sinai (130).
The theme of 42 in Creation keeps getting stronger, and yet the sum of the finale letters in those 9 “Vayomer Elohim” is 7200, as in the 720.0 sum of the square roots of the 72 Triplets, which is interesting since the 8th Utterance, 425 is the same as the 8th triplet of the 72 Triplets.
You may be asking yourself, what about the 10th Utterance? When we sum the (1st, 2nd, 3rd, 3rd, 4th, 5th, 6th, 6th, 6th, and 6th) days we get 42 once again. And when the verse at 1:28 is added we get 42 total days, 180 chapters-verses for a new total of 222.
The initials of the 9 Vayomer Elohim and 10th Vayomer Lahem Elohim is (63+37) = 100, as in the ordinal value of the first 10 letters of the Torah.
The number 222 is certainly evocative of 2 x 111 or 2 alefs (אלפ). According to chazal, the word for alefs is as alafim (אלפים) and alpayim (אלפים), meaning thousands, and 2000, as in the verse Notzer Chesed l’Alafim from the 13 Attributes. Therefore, it is significant to note that these 10 Utterances, which according to Rabbi Shneur Zalman of Liadi, “the Alter Rebbe,” are supposed to be the seeds of physicality and spread by means of the letter combinations that comprise 231 Gates of Wisdom have this characteristic in common with the entire Torah. In explanation, the sum of all the letter pairings backwards and forwards of the 231 combinations as specifically found in the Torah total 222,004 or (2000 x 111) + 4. That this is off by 4 from a perfect 222,000 is similar to the way the 10 Utterances (Commandments to us) are found at letter 107,007 and thus off by 7 letters from what would seem like perfection. There are messages in the perfection and messages in the very slight differences of 4 and 7. Of the 231 possible combinations, 10 were not used in both directions and 8 of them were not used at all, for a total void value of 2023.
Moreover, when we add the 10th command to be fruitful (286) the total of the 10 Utterances is 4004, which is exactly 1775 less than 5779. It is looking a lot like a timetable was built into the Creation narrative.
The next gift will segue into the main part of this section where we will gain new insight and understanding into our most important tool, the 42-Letter Name. To quote Rav Brandwein, the Admor of Strettin, of blessed memory, “It is through the understanding of the 42-Letter Name that the Geulah [final redemption] will occur.” We will cover a third gift from Shavuot at a later date. That gift involves the elasticity of time, even in our world. Actually, outside our world time does not exist as we know it at all. In it, even though it may appear rigid, time can be sped up or slowed depending on our focal point. That is for another day.
A Stairway to Heaven
As we have seen, one tool of the Torah is the 72 Triplets. The 42-Letter Name is comprised of 14 Triplets, and Pi breaks down into at least the first 10 Triplets, which, as we saw, were doubly connected to 1775, the sum of the 27 Hebrew letters. As it turns out, the specific grouping of the first 8 words or 33 letters of the Torah are also partitionable into 11 Triplets. If we alternate them, exactly as we did with the 22 letters of the Alef-bet which we split into 2 columns of 11 elements each, we would get two columns of triplets, one with 6 elements and one with 5 elements.
Why would we do this? You will see in the next section, but as we have repeated seen, every time we split or crack open a Torah egg, tremendous light is revealed. Meanwhile, those two columns simply add up to 1044 and 1959, whose digits (1+0+4+4+1+9+5+9) sum to 33, but there is one more important step.
710 – 203 36 – 203 705 – 51 407 – 90 101 – 206 291 1959 - 1044
If we then zigzag our way through the two columns, as in a staircase:
And reorder them to add up the appropriate landings, which we have done below by reordering them into new columns, we get new encrypted information about the 33 letters of Creation.
We get 903 for the right-hand, or initiating zigzag, or stairwell, and 2100 for the corresponding left-hand, or resultant zigzag or stairwell. This is the same 903 equivalent to Vayomer Elohim (ויאמר אלהים) in each of the 10 Utterances that created our physicality and reality. What is critical here, as we are about to see, is that this secret staircase hidden in the command module of Creation gives us 903, the sum of all the integers from 1 – 42 and 2100 which is both 100 times the value of G-d’s higher Name Ehyeh (אהיה) and 50 times 42. Both the Name Ehyeh (אהיה) and number 50, through the 50 Gates, are associated with the hyperspace dimension called Binah.
Notably, the split between 903 and 2100 as proportions out of 3003 is nearly precisely 30.0% and 70.0%.
As we just saw, 903 is the gematria of Vayomer Elohim (ויאמר אלהים), the announcement “G-d said,” that initiated each of the 10 Utterances, with specific distinction to 9 of them. That the initials of Vayomer Elohim (ויאמר אלהים) are Vav (ו) and Alef (א) are very interesting, considering the connections between them and the Shema and the numbers 42 and 13.
There are 13 words—the gematria of echad (אחד), One—in the first 42-word paragraph of the Shema which have the initial letter Vav (ו). Then there are 42 more of them in the rest of the Shema. There are also exactly 42 words in the Shema that have the initial letter Alef (א). Initials. If we can become One with the Torah, internalize it to our consciousness, we can not only recite the Shema, but be it.
The letter Vav (ו) when spelled-out is vav-alef-vav (ואו). It has a numerical value of 13 and it encapsulates the Alef (א). If we examine the letter Alef (א) closely we notice that it is endless, an endless infinite fractal cycle going inward, expanding and cycling inward again. Each time it expands, the letter Alef (א) reappears between the two inner, component Vavs (ו) that comprise it, never ending. What gets shed off are two endless streams of Yuds (י) from their orbit around the center, like the two jets shooting out of the accretion disk surrounding a black hole.
If you recall, the 10 Utterances summed to 4004, which I am sure brings a smile to computer geeks, as 4004 was Intel’s first commercially available microprocessor and jumpstarted our technological revolution. Nevertheless, 4004 is eerily similar to 3003, the sum of the 33 first letters, exactly one grand alef (א) more. The average of those 33 letters is exactly 3003/33 = 91.
Every student of kabbalah can tell you that 91 is the technological reason we say Amen (אמן) after hearing a blessing. Amen (אמן) not only has the numerical value 91, but it is also the sum of the Tetragrammaton (יהוה , 26) and its pronounceable counterpart Adonai (אדני, 65) of which there are exactly 91 in the Torah: (26 + 65) = 91. This is called a unification and we now can understand that each of the 33 letters contain this powerful unification used to seal, elevate, and transport our blessings
The other part of this technology, as delineated by the Arizal, is the 42-Letter Name. Not to be lost here is that 91 is (7 x 13), the numerical value of Echad, One, and (7 x 33) is equivalent to the 231 Gates of Wisdom. Moreover, throughout the Torah the 90,100 Yuds (י), Heis (ה), and Vavs (ו) combine to form exactly 1820 or 20 x 91 revealed Tetragrammaton (יהוה), as explained in greater detail earlier. Kabbalistically, 7 represents the 7 unified 6 bundled sefirot (dimensions) of Zeir Anpin, associated with the Tetragrammaton (יהוה), coupled with the 1 dimension (Malchut/Kingdom) where the causality of time reigns. This dimension is associated with Adonai (אדני). This 6 – 1 pairing is also alluded to in the initials of Vayomer Elohim(ויאמר אלהים): Vav (ו) and Alef (א), 6 and 1, indicating that G-d did not just say and physicality appeared in our world; there was a process that involved the 6 and 1 rows of the 42-Letter Name matrix and their associated dimensions.
Let us back up one second. Since we have already established that the focus of the Torah is in returning us or reconnecting us to the One, let us not gloss over that fact that 91 = (7 x 13), the value of Echad, One. You see, 91 is also the sum of the digits from 1 -13. Moreover, the sum of the sum of all the numbers through 13 is 455, which is the sum of the 3 aspects of higher Name Ehyeh (אהיה), associated with Binah. The dimension of Binah is what we would call hyperspace, a dimension beyond what we would understand as causality, and thus without time.
As we can see, all the 1820 Tetragrammaton (יהוה) and all the 90,100 Yuds (י), Heis (ה), and Vavs (ו) clearly feed into and stem from the first 33 letters of the Torah, so let us not forget that 90,100 equals the sum of the integers from 1 – 424, the numerical value of Moshiach Ben David. Every one of those 33 letters are engines for unification between worlds, planes, and dimensions and to Oneness.
The Original Kundalini
Even now, skeptics will be saying to themselves, OK 903 is connected to 42 and 42 is a special number, but they do not see anything connecting it to the 42-Letters or linking the 42-Letters with the first 28 or 33 letters of the Torah. Keep reading. We have just seen how the hidden staircase that zigzags or snakes its way in a simple wave-like pattern through Creation connects to 42. We have also seen earlier how the 42-Letter Name generates Pi through a super simple equation to an astonishing degree of accuracy. Now, we will show you how Phi (ϕ) is integrated into it in a similar and most beautiful way as well. One of my colleagues, Peter, was the one who discovered this. The Hebrew language is unique in that all words of three letters or more have 3 root letters, which through permutations form up to 6 different base words. As we have seen the 33 first letters in the Torah, the 216 letters of the Name of 72, and the first 30 digits in Pi are formed by or are partitionable into mathematically significant Triplets. The 42-Letter Name matrix is no different and is comprised of 14 triplets. Whether these (72 + 11 + 10 + 14) or 107 Triplets are the only ones to be considered because 107 has meaning is not yet known, since the more gates we approach the more open for us, as is the nature of this magnificent marvel called the Torah.
Until now, most people who recite this 42-Letter Name as a daily prayer or meditation did not know why it was split into Triplets. The answer is found once again through splitting the 42 Letters in two, just like the 22 letters of the alef-bet, and exactly as we did with 33 first letters, and similarly with the 72 Triplets when we took their square roots and thus splitting them in half as well. The process starts with the 42 letters being split into two columns of 7 Triplets, in each, which in this case the tzaddikim did for us thousands of years ago, alternating odd-even just like the alef-bet and the first 33 letters. Once again, we are climbing a stairwell through the Name, using the triplets as landings. By connecting 7 of the 14 Triplets in a perfect alternating zigzag fashion and summing up their gematria, we get: Phi (ϕ).
Starting with the first Triplet (אבג) of gematria 6, we then cross over to the second column and dropping down a flight (a row), until we end up on the 7th landing (row) with (שקו) of gematria 406. The gematria of all 7 Triplets, representing exactly half the 42 Letters is (6 + 359 + 57 + 493 + 110 + 187 + 406) = 1618, as in Phi (ϕ), 1.6180…
Then two of the Triplets of the opposite stairwell, the one of the first row (יתץ) and the one of the 7th row (צית) equal (500 + 500) or 1000, and 1000 + 1618 = 2618 or Phi (ϕ)2.
The Remaining Triplets of the left-handed stairwell from the 3rd and 4th rows (יכש) and (בטר) add up to (330 + 211) = 541, the gematria value of Israel. These are the 6th and 7th Triplets. Notable because (6 x 7) = 42 and (6 + 7) = 13 and (13 + 42) = 55, just as we recently saw with the exceptional sequence in the Bell Prime indices and the occurrences of the letter Vav(ו) in the Shema, and this time they equate to Israel. The remaining 3 Triplets (קרע), (טנע), and (יגל) sum to (370 + 129 + 43) = 542, or Israel plus 1, and are a reference to the 5 (מב) found in the 72 Triplets that we will get into later in this series.
The entire split of the left-handed or non-Phi (ϕ) stairwell totals 2083, which Peter also correctly advised is the 314th Prime, looping us back to Pi. In a similar way the Torah merged Pi and Phi directly through the equation 401273/ Phi (ϕ) = 248000 because 2480 is the sum of the names of the 5 individual Books of the Torah and their initials (בשובד) add up to 314.
We have seen connections between the number 42 and 3760 or 0 CE in the Hebrew Calendar. We have seen that date connected between 42 and the exceedingly rare Bell Prime Index with the Bell Prime Numbers. We have seen that date 3760 connected with the unified gematria of the 42-Letter Name, the first verse of the Shema, and with the first verse of the Torah. These 3 special portals had exactly 42 unique letters between them (19, 12, and 11). And we just saw 3760 yet again with the 9 Utterances directly connected to 903, the sum of the integers from 1 – 42.
Now, once again, we see 3760 by connecting the right-handed stairwell of the 33 Letters that totaled 903 to the righthanded Phi (ϕ) stairwell of the 42-Letter Name. The right-hand stairwell divided by the total of the 25 Triplets or (903 + 1618)/(3003 + 3701) = .376044.
As for the Left-hand stairwell that connects to Ehyeh (אהיה) and Pi/Shadai (שדי), the continuous 13 landings sum to 4183 or .623956 of the total, which is off from .625 or 5/8 by .001044, which just happens to match up with the sum of the original split of the 33 letters into two columns that added up to 1044 and 1959 respectively.
And the difference between those two grand stairwells (4183 -2521) is 1662 or 2 times the gematria sofit of Alef(אלף), so once again 2000 is built into the Genesis equation, possibly alluding to (3760 + 2000) which equals 5760, which is equivalent to the year 2000 CE and whose logarithm is 3.76042248. Need we say more.
What if we told you that 903 times the square root of 5, the core of Phi (ϕ), equals 2019.17.
Unbelievable! The Creator built in a backdoor for us with an ascending stairwell leading straight to the main gate. Or is it a ladder into the cockpit of the command module?
Yet another connection of the 42-Letter Name to the Torah’s incredible first verse is that the entire right side of the 42-Letter Name matrix is numerically equivalent to the 4th, 5th, and 6th words in that verse combined. The word for “the Heavens and the two words that flank it, Et and V’et sum to (401 + 395 + 407) = 1203, the exact same as the 7 triplets on the right-hand side of the 42-Letter Name. Notice how that 1203 total is comprised of the 2nd word of Torah (203) that was so integral to the Bell Numbers and 1000, which we know to be a numeric appellation of the letter Alef(א) associated with the Binah hyperspace.
What makes this all the more significant is that the 7 triplets of the left-hand side of the 42-Letter Name are numerically equivalent to the remaining 4 words of the Torah’s first verse plus 1000 or Alef(א) once again. The 1st, 2nd, 3rd, and 7th words of the first verse (913, 203, 86, and 296) = 1498 and the 7 triplets of the left-hand side of the 42-Letter Name equal 2498 or 1498 plus 1000.
From the splitting of the Alef-bet to the splitting of the 42-Letter Name and the splitting of the 72 Triplets Name, Phi (ϕ) was revealed in conjunction with 1000 and the number 54. Moreover, the splitting of the 42-Letter Name into equal parts in a most simple, elegant, and symmetrical way, split the name into Phi (ϕ) and Pi. Remember, those 14 Triplets are found in the Torah exactly 506 times, which is not only the gematria of the first row (first two triplets: (אבג יתצ) of the 42-Letter Name matrix, but it is also the complete numerical value of Moshiach Ben David and the sum of all the squares from 12 to 112.
We could say that the 42-Letter Name or 14 Triplets is the fusion of Phi and Pi. We can also tell you that the sum of the 14 square roots of the 14 Triplets is 210.0262873… This is not only evocative of 210.0 years of exile in Egypt, etc, but 2628 is the sum of the Torah reoccurrences of the Torah’s 4th (את) and 2nd (ברא) words. And while the 73 is obviously another reference to Torah’s first verse, whose total value equals the sum of the integers from 1 – 73, the number 2628 is the sum of the integers from 1 to 72. Moreover, the Torah’s 5th word (השמים), Heaven, reoccurs 73 times in the Torah and 2628 + 73 = 2701.
Just to complete a little more of the picture: between them, the Torah’s 1st word (בראשית) and 7th (הארץ) reoccur 365 times in the Torah, while the 4th (את) and 6th (ואת) reoccur 3450 times or (10 x 345), the gematria of Moses (משה).
Just as we know that the 506 Torah occurrences of the 14 Triplets are purposefully weaved throughout the Torah so too are the recurrences of the 7 words of the Torah’s first verse from which the 14 Triplets originate, adding yet another layer of purpose, intrigue and design into the Names, Torah, and mathematical constants, and dropping even more clues for us to unravel it all.
Did you notice how the next 3 digits in Phi after 1618 were 033? Coincidence or clue?
Yet another discover that Peter made was that the 2nd, 3rd, and 4th consecutive lines in the 42-Letter Name add up to 1820. All 18 letters add up to 1820, which as we just discussed and will do so again, is the exact number of times the Tetragrammaton (יהוה) appears in the Torah.
Let us recapitulate. The first row (506) of the matrix connects to Moshiach Ben David. The next 3 rows (93, 387, and 704) equal 1820 and connect to all the Tetragrammaton (יהוה). Leaving us with the last 3 rows (239, 230, and 906) that equal 1375, which represents exactly 50 cubits, the height of the gates of the Future Holy Temple. Exactly 50, as in the 50 Gates of Binah, the Gates of UNDERSTANDING.
Through this Gate and up the winding double helix staircase we must climb. Remember what Rav Brandwein said, “It is through the understanding of the 42-Letter Name that we will bring about the Geulah (final redemption).”
It takes 3.5 revolutions to line up the Triplets in the 42-Letter Name into a Phi/Pi column split, just like the 3.5 years in 42 Months. Just something to ponder.
Special thanks to Peter for his invaluable help on this section. Shabbat Shalom