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.

Also, when we add the 7th, 8th, 9th, and 10th strings they also add up (846 + 264 + 338 + 327) to 1775, which as we have just discussed is the sum of the 27 Hebrew letters.

(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

2384
3846
9502
5028
9375
3751

5105
0582
4459
6286
8253
2534

5132
5940
1284

9644
4462
3819

3344
3446
5648
6482
2019
8817

0917
8925
3305
1609
6094
0943

0921
6117
2279
2171
1717
8467

7669
8577
7713
5778
4201
9999

At this point, some would say the unique 6 – 9’s represents 6 x 9 = 54, The Divine Calendarreflecting 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.

Shavua Tov

In our next installment we will bring it all together as One (1)

Part III Phi and Beyond

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 b : a = .7180 and b : 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

                          1495

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+21+10) = 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:

בראשית־ברא־אל

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:

22012110222201112

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
or
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

2,20,1,21,10,22,2,20,1,1,12

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)

And

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:

How close is that to true Phi? It is about 99.9999% precise, or within 1.0000012 of actual phi.

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.

 

Hashem

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.

Shavua Tov

The next installment continues shortly as we move out of the introductory phase of this series and into the heart of the matter.

The Splitting of the Alef-Bet

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.

אבגדהוזחטיכלמנסעפצקרשת

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.

אבגדהוזחטיכלמנסעפצקרשת.

From א to ת and 1 to 400.

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

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?

In Part III we will begin to incorporate Phi.

The Reality Behind the Universe

Here we go. The articles in this promised series are going to be shorter and denser segments and come much more often.  They are already written, and the time has come.  There will be a separate page posted after the first segment so you will not have to refer back to each article as it is published.

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?

אבגדהוזחטיכלמנסעפצקרשת

Using the formula n-subset-2, we get 2n – 1 ways, and so since in this case n = 22 letters, there are:

222 – 1 = 4,194,303 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, 4194,303 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.

The 72 Name matrix is encoded into the 3 consecutive 72-letter verses (Exodus 14:19-21) that describe the splitting of the Red Sea,

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…

One Way

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 the numerical value for Israel, 541, 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.

 

אבגדהוזחטיכלמנסעפצקרשת.

From א to ת and 1 to 400.

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

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:

  1000

  1. 900
  2. 810
  3. 729
  4. 656.1
  5. 590.49
  6. 531.441
  7. 478.2969
  8. 430.46721
  9. 387.41589
  10. 348.674301
  11. 313.806871
  12. 282.426184
  13. 254.183565
  14. 228.765209
  15. 205.888688
  16. 185.299819
  17. 166.769837
  18. 150.092854
  19. 135.083568
  20. 121.575211
  21. 109.41769
  22. 98.4759212

 

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 will follow shortly, in which we actually split the alef-bet.

Shabbat Shalom and Chodesh Tov!