Sunday, August 25, 2019

Re'eh

In last week’s post we asserted that the mathematic and geometric reflections of God’s Explicit Name were hidden in the linguistic structure of the Torah, the physics of time and space, quantum mechanics and other such things and proceeded to give some relevant examples. 

Parashah Re’eh is very much the same. In Re'eh, we see clear allusions to the numbers, sets of numbers and ratios of the signature geometry that defines the combined cubic form of the luchot, its measure, or more specifically, those measures and ratios that reflect the nature of the 216 letters in the Name. 

Here, the one-dimensional metric geometry once again conforms to the properties of the royal seal, a dynamic wherein the letters are more clearly perceived in three dimensions. As in Parashah Eikev, one simply cannot help but notice the mathematic and geometric nature of: 1) the narrative; 2) the words used to convey the narrative; 3) the sequences of letters (“paired” as 7s) that are specifically found in the words of the narrative; and 4) the number of times certain specific words and phrases are used, or combined, in relation to one another. The allusions to the Explicit Name are again overwhelming in this regard.

We will examine the sevens mentioned above and other aspects of the geometry in the pages ahead. In the meantime, if you are new to this blog, please read each of the essential constructs listed in the column to the right before proceeding. These pages reveal some of the basic mathematic connections between the letters of God's Explicit Name and the multidimensional geometric characteristics of the luchot, both in the divided state and combined cubic form, along with the internal geometry that casts a shadow known as a magen david. There is a special connection between the Name, the luchot and the geometry of the magen, and together they form a unique signature. We refer to this geometry and its mathematic common denominator as the Signature of the Architect. The purpose of this blog is to show how all of these things connect, and to reveal where the signature geometry is hidden, not only in each week’s parashah, but the physics of time and space, quantum mechanics and celestial dynamics to name a few. Once you are familiar with these constructs you can more fully appreciate each post.

In Parashah Re’eh we will start with the numbers that define the combined cubic measurement of the luchot: 6 x 6 x 6 (216 cubic handbreadths) which are in essence the product of three dimensions with measures of six (these measures are self-embedded in the geometry of the foundation stone:
6 faces in the third dimensions / 6 square or linear handbreadths in the first or second dimension etc). The division is not arbitrary, but rather a function of its geometry. In other words, 216 is self embedded. When all three dimensions are so divided, the result is 42 separate and unique sets of 42 linear handbreadths throughout the geometry as described in the post on "the 42 letters in Sapphire."



              6 (First Dimension)
                                 (Linear Handbreadths)
                                                     6 (Second Dimension)
                                                                                         (Linear and Square Handbreadths)
 
6 (Third Dimension)
                                                              ( Faces / Linear and Square Handbreadths)


The number six is mentioned exactly three times in this parashah in a specific place. These references are clustered in close proximity. Under normal circumstances, a mathematician or statistician would not assign any significance to three six's in a body of text. It would be considered a coincidence. However, the combination of  three six's is found so often in Torah that it cannot be dismissed as such. 

In Torah, each time we see three six's, it alludes to the dimensions of the luchot and the 216 letters of the Name (6 x 6 x 6 = 216). In Parashah VaYera for example, there were three measures of flour that were each six ounces, and in Parashah Mishpatim, Moshe spent six days in the cloud, then went back and forth for six days delivering the letters of Torah to the people, and these events began (or ended) on the sixth of Sivan, depending on the source. In Parashah Tetzaveh, it was three strands of six, woven into the fabric of the priestly garments. These are specific numbers, sets of numbers and ratios that allude to the mathematic and geometric nature of the luchot, which are in turn a reflection of the letters of God’s Name. Please take time to understand the significance.

In Parashah Re’eh we see this very same reflection but in even more precise terms that correspond to the divided form of the luchot:


15:12 “[your Hebrew slave] may serve as much as six years...”
15:18 “...he has done double the work of a hired hand during the
six years...”
16:08 “For
six [additional] days you shall eat matzah.”

Its not just six years or six days. It's three six's in the body of text that are grouped together, where one is different from the other two (an embodiment of 'set-theory' in linguistic form) where the one divided side is different from the other two dimensions. Once you look past the story, and perceive the larger reality based on the measure of the luchot (geometry of the foundations stone) or the even larger reality based on the letters of the Name, another world emerges. Contemplate this.

One of the above mentioned six's is different from the other two six's because it reflects this larger reality. It is expressed in terms of days rather than years - one (of six days) is decidedly different from the other two (of six years). This is like the measure of the luchot, where one measure (after division) is different from the other two  (6 x 6 x 6 becomes 6 x 6 x 3 but as two tablets). Before its division, the three dimensions of the luchot each measured six handbreadths, but one of those dimensions is now (after division) different from the other two. That’s because one of these dimensions was divided in half to create the shnei luchot (two tablets) before they were brought down by Moshe (paralleling the moment of creation when duality was established). The division along one side resulted in a measure of only three handbreadths along each side of the two halves. So each half is 6 x 6 x 3  (108 cubic handbreadths). 

The 108 cubic handbreadths of course echo the gematria of the Hebrew word “chatzei” (meaning “half”) which is also 108. However, the combined measurement of both halves along this side is still six handbreadths, hence three mentions of six where one edge or dimension is  different from the other two. That’s a convenient comparison, but can we find a second witness that would confirm that the difference on this side (where the separation occurs) actually alludes to the luchot?




Preceding the text wherein the above numbers appear, there is a verse that describes what is done with the portion that was ‘separated’ for tithes. In other words, the context of the narrative is that of a separation or division:


14:08 “At the end of each three year period you must bring... tithes”


Three? The words, “at the end of each three" year period" are like the words you would use to describe the division of the luchot, that happens to be “at the end of each three handbreadths," which is exactly where the separation occurs. The parallel between the two forms of separation and the measure of three is hard to ignore. Insofar as the luchot are concerned, the two measurements in combination with one another are still six handbreadths, but the side in question is nevertheless divided and each portion "ends" after three handbreadths. So within the text of Parashah Re'eh, we find the same numbers, sets of numbers and ratios, in perfect context, twice, that just happen to correspond to the measurements of the combined cubic form of the luchot, then its division, as well as the measurement and nature of the division, an event that also, remarkably enough, occurred twice. One thing is a mirror image of the other! Each number in combination with one another, together with the words used to describe them, not only reflect the geometric characteristics of the luchot, but the Signature of the Architect hidden within.

As the text of this parashah continues, we also see the royal seal defined by the same numbers and pairs of numbers, specifically pairs of sevens, that correspond to the one-dimensional metrics of the Name, that correspond to the three-dimensional metrics of the star tetrahedron with its 72 triangular corners (this was explained in detail in Parashah Emor and also the essential construct on the sapphire magen david). However, the same unique pattern appears in this parashah:


15:1 “At the end of every seven years, you shall celebrate the remission year”


This is the first and only singular mention of “
seven” in the text. A group is then clustered together in close proximity as four pairs of sevens, where one pair is different in that the word pair is in the form of “sevenths.” In other words, this one pair of 'sevenths' is different from the other three pairs of 'sevens,' but we'll get to that in a moment:

1st pair...


15:09 “The seventh year is approaching and it will be the remission year”
15:12 “...in the seventh year you must [free your Hebrew slave]”

2nd pair...


16:03 “As part of [the celebration] you shall eat matzah (no leaven) for 
seven days
16:04No leaven shall be seen with you... for 
seven days

3rd pair...


16:09 “Then count 
seven weeks for yourself....”
16:09 “...you must count 
seven weeks

4th pair...


16:13 “You shall celebrate the festival of sukkoth for 
seven days
16:15 “Celebrate to God your Lord for
seven days...”

Note the beautiful symmetry of the text and the nature of the symmetry in dual form. There are specifically four pairs of sevens in the linguistic structure of the above text. That should sound familiar! The faces of a star tetrahedron (three-dimensional magen david) consist of
four pairs of two-dimensional triangles (each with seven elements). Notice however, that one “pair” is different from the other three “pairs” (one pair uses the word “seventh” while the other three pairs use the word “seven”). That should also sound familiar! 

It is just like the  marriage of the letters in the Tetragrammaton with those in the Havaya of Adnoot, where one pair, is decidedly different from the other three pairs of letters, as described and explained in the post on Massey and Devarim and the advanced construct listed to the right, on the "Marriage of the Letters." Moreover, it is also a reflection of the 3D geometry of a star tetrahedron, where one pair of points is different from the 2D plane of the other three pairs of points. Whenever you see an event or a narrative where there are four 'pairs,' where one is different from the other three, it is a reflection of a larger reality that conforms to the nature of the foundation stone's geometry that in turn reflects an even larger reality that parallels the abbreviated forms of God's Name. If you’ve not yet read either of those posts, we would advise you to study them carefully to more fully appreciate the significance of this pattern that repeats itself throughout Torah. In this case, the letters of these Name(s) form the template for the halacha.

In the post on
Massey and Devarim mentioned above, we also showed how a pair of sevens are the elements that create the two halves of the royal seal (a two-dimensional magen david) and how four pairs of sevens accomplish the same thing in three-dimensions (the faces of a star tetrahedron). These four pairs of sevens are in essence four two-dimensional magen davids, which in turn define the faces of a three-dimensional star tetrahedron (shown below) all of which reflect the signature geometry associated with the 216 letters of God’s Explicit Name hidden within the royal seal. In the meantime, you may remember the picture below (from Massey and Devarim) that shows how two opposing pairs of sevens, or two halves of a magen, ultimately form two faces of the star tetrahedron. The picture below is skewed so that you can see the three-dimensional relationship within the two-dimensional components of the star tetrahedron. The small triangles in the middle of each large triangle are where the stellation of the opposing tetrahedron passes through the face of its polar opposite. It has been left in the model below to demonstrate the hidden aspect of the corresponding halacha, where the underlying basis is the marriage of the letters (hidden beneath the surface of the corresponding geometry). The nature of the geometry (of the three-dimensional magen david) is a ten-dimensional mathematic reflection of the 72 x 3 = 216 letters of the Explicit Name, and an identical match for the reality imposed by the halacha.


The Larger Triangles are External
(revealed as part the outer surface)
The Smaller Triangles in the Middle, are Internal
(concealed as part of the inner geometry)




We would only add at this point, that the number seven is mentioned in this parashah a total seven times1 in this one section (excluding the word 'seventh') but that should come as no surprise to the readers of this blog. It is reminiscent of the matrix of seven that was also seen in last week’s post consisting of 7 x 7 (x 7) elements; where any given face in two dimensions is seven times seven; and where the cubic form is the external (revealed) mathematic framework for the internal (hidden) mathematic nature imposed by the larger reality: the 6 x 6 x 6 (216) cubic handbreadths of the luchot; which in turn hide the ultimate reality, which is the 216 letters of the Explicit Name. 

In another section of that post, the number seven is (once again) mentioned in reference to three festivals. A cubic matrix having three dimensions measured by seven 'elements' is defined (and limited by) mathematic repetitions of 7s & 8s, and 49s & 50s that just happen to conform to our observance of time-related halachic requirements that “sustain" the physical universe. The matrix of seven with its 343 letters/elements are essentially a mathematic reflection of the sustaining utterance that at any moment in time results in the ongoing process of creation (7 x 7 x 7 = 343 which is the gematria of “and God said”) when he spoke the world into existence. This mathematic/geometric construct is further alluded to, in the text describing the requirements for “three times each year," (a measure of time):

16:16 “
three times each year... all your males will be seen in the presence of God...”

16:16 “...on the festival of matzahs” (seven days)
16:16 “...on the festival of shavuot” (after
seven x seven days)
16:16 “...on the festival of sukkoth” (
seven days)

These three “times” (comprised of
sevens) allude to the matrix of seven defined by its three dimensions (the outer framework of reality) where each dimension is limited in scope by the 7s & 8s, and 49s & 50s that are integrated into the cycles of observance related to “things-Jewish,” and where it again constitutes an external (revealed) matrix that hides the Hand (breadths) of the signature geometry behind the scenes, hidden in the internal (hidden) matrix consisting of three sixes (geometric model below). 

By now you should be able to see that the linguistic structure is not a coincidence, but a reflection of a larger reality that is entirely dependent on the letters of the Name. 

The Measured Geometry of the Luchot Defines Cycles of 

(click to enlarge)





Lines/Edges = Outer (Revealed) Matrix of 7 x 7 x 7 (343 'Elements')
(a subset of the letters in Torah at any moment in time)
Spaces = Inner (Hidden) Matrix of 6 x 6 x 6 (216 Elements)
(the cubic handbreadths of the luchot...
...letters of God's Name hidden beneath the surface of our physical state)

The small cubes (the spaces pictured inside the above matrix) in between the 343 "elements" (lines/edges) are the intersections where the elements of the outer matrix connect with those of the inner matrix. There are 216 such spaces hidden beneath the surface of the matrix created by our halachic observance (in cycles of 7) which corresponds to the number of letters in God's Explicit Name. The spaces are a geometric manifestation of the 216 letter Name and the lines are a geometric manifestation of the 42 letter Name as shown in the post on the 42 letters in sapphire. It is, in essence, "the Hand" (of God) in the glove of reality (the created universe). This is why the Sages of Israel said that we are co-creators (with the Holy One Blessed be He) and that without our observance, the universe would cease to exist.

As if to echo this larger reality, the text of Re'eh includes one more reference to “seventh,” for a total of three instances, the third being: “You shall... eat matzah with the seventh day as a retreat.” This “seventh” is the third and final reference to the word “seventh” in the parashah. The total thus comes to seven mention’s of the word seven (7) and three mentions of the word “seventh” (7th) reflecting the three dimensions of seven in the outer matrix that corresponds to the flow of time and this aspect of reality in the physical universe. At  the same time, it reflects the nature of the 10 sephirot, divided into the three upper and seven lower “dimensions,” the means by which God interacts with the created world.

For more information on the matrix of seven, and the 343 (7 x 7 x 7) elements that are "defined" by our observance, see last week's post on Parashah Eikev and also the post on Behar and BeChuko-thai where we provide more details and explain additional significance.

In summary, we see once again in this parashah, the interconnectedness between the luchot; God’s Name; the events described in the Torah; the word level of the text; the letter level; even the mathematic spaces in the matrix created by the letters; as well as everything else in the physical and nonphysical universe. Everything, together, displays this wonderful, unique, inexplicable mathematic and geometric connectedness that defies logic. The nature of the various combinations, the number of repetitions of these combinations, together with what they represent in terms of complex three-dimensional geometry or two-dimensional geometry, would simply have been beyond the ability of any man or group of men to compose. The numbers, sets of numbers, and ratios between sets, are the underlying superstructure of the text which is an extension of those numbers. This is why even the mathematic value of the letters reflects the nature of the combinations. They are all a part of the royal seal wherein the Signature of the Architect is hidden. Who could write a meaningful narrative with such mathematic and geometric perfection? Only the Architect Himself. And who would preserve knowledge of His Great and Powerful Name? Only the Jewish people.

____

Footnote 1 - There are three pairs of "sevens" in the text, and one singular mention of the number seven (that is not paired).



Saturday, August 17, 2019

Eikev

The words and sentences of Parashah Eikev provide another example of the one-dimensional metric geometry of the magen david1 where it is hidden in the unusual linguistic structure of the text. This geometry in turn reflects the mathematic characteristics of God's Explicit Name that defines the measure of the shnei luchot (two tablets) which is the template for everything else in the physical and non-physical universe. As we've seen so many times, these numbers, sets of numbers, and the ratios between these sets, repeatedly appear as patterns throughout the text of Torah; historical events and halachah; as well as time and space itself. In fact, the entire universe appears to be a reflection of this unique "signature" as demonstrated in the post on the Primordial Torah

We will examine all of this in the paragraphs ahead. However, if you are new to this blog, please read each of the essential constructs listed in the column to the right before proceeding. These pages reveal some of the basic mathematic connections between the letters of God's Explicit Name and the multidimensional geometric characteristics of the luchot, both in the divided state and combined cubic form, along with the internal geometry that casts a shadow known as a magen david. There is a special connection between the Name, the luchot and the geometry of the magen, and together they form a unique signature. We refer to this geometry and its mathematic common denominator as the Signature of the Architect. The purpose of this blog is to show how all of these things connect, and to reveal where the signature geometry is hidden, not only in each week’s parashah, but the physics of time and space, quantum mechanics and celestial dynamics to name a few. Once you are familiar with these constructs you can more fully appreciate each post. For more specific information on the 'royal seal' (magen david) see the post on Emor.

In Parashah Eikev, Moshe begins
to summarize all that has happened to Israel, and to clarify everything that God requires of His people. Moshe reiterates how he received the luchot (tablets) and the circumstances involving the shattering of the first set (with 'ten' alluding to the shattering of the vessels). He then proceeds to describe the second set. They are referenced so many times and in so many ways, that one cannot help but notice the mathematic and geometric nature of: 1) the narrative itself; 2) the words used to convey the narrative; 3) the letters used (or not used) to form the words; and 4) the number of times certain specific words and phrases relate to one another. The number of allusions to God’s Explicit Name as a geometric function of the royal seal, is overwhelming.

We’ll start by describing the linguistic structure embedded in Moshe’s account of the first set of tablets (note the redundancy).

  • 9:09 - “I had climbed the mountain to get the stone tablets...”
  • 9:09 - “...tablets of the covenant that God had made...”
  • 9:10 - “God gave me the two stone tablets written with God’s Finger.”
  • 9:11 - “God gave me the two stone tablets...
  • 9:11 - “...as tablets of the covenant...

  • 9:11 - "but God then said to me “hurry down... the nation... has become corrupt.”
  • 9:15 - “[I] went down... the two tablets of the covenant were in my two hands
  • 9:17 - “I grasped the two tablets and threw them down with my two hands..."
  • 9:17 - "breaking them before [their] eyes.”

Notice first of all, the beautiful symmetry of the narrative. Count the number of times the word “tablets” is mentioned (seven times). Then count the number of times the phrase “the two stone (tablets)” is mentioned (twice). Note that this phrase is in the form of a "pair," using the same sequence of letters. Also count the number of times the phrase "two tablets" is mentioned (twice). Note they too form a "pair" using the same sequence of letters. And finally notice how many times the phrase “two hands” is mentioned” (twice) again as a "pair." We’ll explain the significance of the phrases in a moment, but first we’ll examine the account of the second set of tablets.
 

Moshe then proceeds to describe the second set of tablets like this (again note the redundancy).
  • 10:1 - “God [then] said to me, “Carve out two stone tablets like the first ones...”
  • 10:2 - “I will write on the tablets the words....”
  • 10:2 - “...which were on the first tablets.”
  • 10:3 - “I... carved out two tablets like the first...”
  • 10:3 - “[I] then climbed the mountain with the two tablets in my hand.”
  • 10:4 - “[God] wrote on the tablets the original... ten.”
  • 10:5 - “I placed the tablets in the ark and remained there as God commanded”

Count the number of times the word for “tablets” is mentioned in reference to the second set (again there are seven). Then count the number of times the phrase “two tablets” is mentioned (again twice). Notice that this phrase is the only "pair" in the account of the second set. And since the second set was not thrown down, there is no mention of a "pair of hands" (two hands) either. Instead, when Moshe returns, the tablets are now in his “hand” (singular).

Keep in mind that a pair of anything, generally denotes the marriage of opposing halves like male and female. We’ll start with the number of times the word “tablets” is mentioned. With reference to the first set, the word is used seven times. With reference to the second set, the word is again used seven times. In other words, we have a pair of seven's that are distinctly seven opposite seven2, which is the specific 'set' of numbers that constitute a one-dimensional mathematic shadow of a two-dimensional magen david, a pattern that is seen over and over again throughout Torah. We explained the significance of this in great detail, in the post on Emor.

For purpose of review, there are
seven elements in each half of the magen david: three lines, three points and one face (seven elements). When the two-dimensional geometry of the pair (or two halves) are married together, they create the royal seal that is in essence a mathematic or geometric shadow of the Explicit Name, a Name that is more clearly revealed in the three-dimensional form known as a star tetrahedron, which has 72 triangular corners (216) reflecting both the number and (triad) nature of the Havayah (Explicit Name) of 72.

The pair of sevens is a one-dimensional metric expression for the geometry of a two-dimensional magen david. However, the linguistic structure of the text also contains allusions to the three-dimensional magen as well. We see this in the two handsmentioned twice in the first account. The gematria or sum of the mathematic value of the letters in the word “hand” is 14. Not only is this the gematria of the word hand, but there are 14 visible joints in the actual hand of a human being. Two hands are thus 14 opposite 14, both in physical and numeric form. These 14 elements parallel the 14 elements in each half of the three-dimensional version of the royal seal or tetrahedron: six lines, four faces and four points (14 elements). That is, they are a one-dimensional metric expression for a three-dimensional reality. A pair of hands (two hands) are 2 x 14, corresponding to the 2 tetrahedrons that are 2 x 14 and “marry” together to form the star tetrahedron, that in turn casts the two-dimensional shadow or magen that we know so well. 

There were two sets of luchot that would ultimately be brought down, so we see the two hands (2 x 14) corresponding to the three-dimensional geometry of two tetrahedrons “twice(2 x 14 and 2 x 14). Each set of luchot, in their combined cubic form, both mathematically and geometrically contain one complete star tetrahedron (2 x 14 and 2 x 14). There are two sets and so we have two star tetrahedrons, and thus two references to two hands (14 opposite 14 and then another 14 opposite 14).


2 x 7                                  2 x 14
7 Opposite 7                    14 opposite 14

Click to Enlarge


There are so many reflections at this point, that they are hard to count. The phrase “the two stone (tablets)” for example, is mentioned twice with reference to the first set of tablets, but this exact terminology is missing from the second set. The gematria or mathematic sum of the letters in “the evanim” (heh-aleph-bet-nun-yud-mem) which is the Hebrew phrase for “the stones,” is 108, so two of the stone(s) is 2 x 108 or 216. This is, once again, not only the volumetric measure of the luchot in terms of cubic handbreadths, but also the number of letters in the Explicit Name. The phrase is mentioned twice, alluding again to the two sets of tablets having been brought down twice. However, as mentioned above, this phrase (where the number of letters in the Name are in the gematria) is missing from the second set.

In the second set, the phrase "the two stone tablets" is not mentioned. Instead we see that they have become simply "two tablets" and so we no longer have a gematria of 108, or a bright mathematic reflection of the letters in the Explicit Name. Without this, the 2 x 108 is missing and the connection to the 216 letters of God's Name is gone (its light being hidden because of the sin). This would suggest that the original internal geometry of the luchot is also somehow slightly different, and that the national destiny will be fulfilled differently. Since the direct connection to the 216 letters is missing from the gematria of the words describing the second set, God's Name is now hidden. This no doubt contributes to the delay and so the redemption must wait for a time when the people are more inclined to draw closer to God (to fully know and embrace His Name). 

The phrase “two tablets” is mentioned twice with reference to the first set of tablets, and twice with reference to the second set of tablets. Both are mentioned twice, similarly alluding to the two sets of luchot that were brought down twice.

Then there is the letter vav in the word luchot for “tablets.” We mentioned this vav last week in the post on VaEthChanan and explained the significance of the subtraction so we will not repeat the explanation here. However, we have the same unusual change in spelling in this parashah. With reference to the first set of tablets the word luchot is spelled with a vav, except for when Moshe is told to hurry down, where we find half of the references with the vav (one reference) and half without (one reference). In other words, in the symbolic language of letters and their equivalent numbers, as Moshe hurries down, the vav 'begins' to disappear in reference to the luchot in Moshe’s two hands. The light is flickering out, and so the final reference to the luchot of the first set is without a vav when the tablets are cast down and shattered. Had the vav not been “removed,” it would have been impossible for them to fall/shatter (that vav being a letter of God's Name).
 

Notice also that in Moshe’s narrative pertaining to the second set of luchot, the tablets are diminished by the near-complete absence of the vav, which appears only once in the very first verse, when God Himself refers to the first set: “carve out two stone tablets like the first,” alluding to the intrinsic difference between the first and second sets.

As if the above reflections are not enough, there is one more that is very faint (so faint as to be virtually invisible) but significant. In the post on Behar and BeChuko-thai we talked about the matrix of 7, or the “flow of time” as defined by recurring patterns of 7s and 8s and 49s and 50s. This was made evident over and over again in the nature of the calendar and the halacha as it relates to certain required observances as well as various events. The numbers, sets of numbers and ratios between sets, ultimately defined a cubic matrix of 7 x 7 x 7 elements, which is in reality the outer garments of a cubic matrix that measures 6 x 6 x 6 (handbreadths) explained and modeled in man posts like the one on the eight dimensions. The outer garments effectively hide the inner essence of all that happens (the 216 letters of the Explicit Name). The events described, or rather the numbers corresponding to these events, form or create, for lack of better terminology, the physical world that is revealed to us, including but not limited to the history of mankind (
7 x 7 x 7: 7 days; 7 x 7 days; 7 weeks; 7 x 7 weeks; 7 years; 7 x 7 years). However, embedded within that matrix, as demonstrated specifically by the intersections or spaces between the elements of this “revealed matrix,” was another internal (hidden) mathematic matrix consisting of 216 elements (a model is pictured below). The elements of the outer matrix (or revealed world) in this model consists of 343 elements, like the gematria of “and God said,” when He spoke the world into existence. These outer elements are the garments (letters) of the written Torah describing so many historical events. The elements of the inner matrix are the spaces between the outer elements, and they number 216 which corresponds to the number of letters in God’s Explicit Name. One matrix (the written Torah) is revealed (nigleh). The other matrix, God's Explicit Name, is mathematically hidden beneath the surface.
 
You may remember from the post on Behar and BeChuko-thai, that the number of letters in the Torah corresponding to the universe in its present male-female form (after God separated the female from the male) was 304,800 letters, and this was enough letters to populate a cubic matrix of 7 exactly 888 times. In the written Torah, the 216 letters of God’s Explicit Name appear contiguously in the midst of those letters (as three verses having 72 letters). The remaining letters of Torah are “divided,” much the same as the letters of God’s Name are divided in the geometry of the luchot (108 opposite 108) or the 4 letters of the Tetrahedron that are "divided" and stand opposite the 4 letters of the Havaya of Adnoot. If we divide the 888 cubic matrices in like fashion, we get 444 matrices (times 2). It happens that the gematria of the word tablets, meaning luchot (with the vav) is 444. The 2 (tablets) x 444 (the gematria of luchot) = 888, which is the number of cubic matrices of 7 x 7 x 7 (outer  garments) that can be formed by the letters in the portion of the Torah cited above.


A Geometric Representation or Model of a Cubic Matrix of 7 (the measured lines)
containing an Internal Matrix of 6 (the measured spaces with 216 Elements)

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Once again, we see with amazing clarity, the interconnectedness between the luchot; God’s Name; the events that are described in the Torah; the word level of the text in the Torah; even the letter level of the text in the Torah, as well as everything else in the physical and nonphysical universe. All have this unique inexplicable mathematic and geometric connectedness that defies logic. The absolute precision of the various combinations, the number of repetitions of these combinations, together with what they represent in terms of, for example, complex three-dimensional geometry, two-dimensional geometry (etc.) would simply have been beyond the ability of any man or group of men to compose. It is as if the numbers, and sets of numbers, and ratios between sets, pre-existed the text itself, and the text were an extension of those numbers. This would account for why we find the mathematic value of the letters so perfectly reflecting the same combinations. They are all an integral part of the royal seal and the letters of God’s Name that are so well hidden beneath the surface. Who could write a meaningful narrative that was so mathematically and geometrically perfect? Only the Architect Himself. As it says... “written with God’s Finger.”

As an addendum to this week's parashah, several universities have demonstrated a new technology for storing data. These scientists have successfully used femtosecond lasers, to write this data in five-dimensions within the crystalline structure of quartz. Unlike conventional hard drives, the data, once it is written to the crystalline structure, is stable for millions of years, if not eternity. It can even withstand temperatures over 1000 degrees Fahrenheit. Moreover, crystal plates (like those in a single hard drive) could hold as much as 360 terabytes. 


There are several interesting parallels that come to mind. Our Sages said that, contained within the Torah (or really the tablets of sapphire-like crystal) was a record of everything that had ever happened and everything that would ever happen in the future, along with the names of every individual and everything they had ever done. In other words, it would contain a record of everything, down to the last detail. The combined cubic form of the luchot contains 5 intrinsic mathematic constructs (one of which is the tetrahedron that we discussed in this post). The luchot were “carved” from a crystal-like sapphire. The scientists in comparison, use a laser to "carve" their data into quartz crystal within the three-dimensions of its substance, and encoded additional information in terms of polarity (male-female) and the intensity of the beam (brightness of the light) using a total of five-dimensions. A half-wave plate matrix controlled the polarization of light and there was no need for moving parts. The laser imprinted dots arranged in 3 planes, separated by a distance of 5 microns.

Inspired by their knowledge of this cosmic blueprint and its intrinsic nature (as it relates to God's Name) there are those who seek to revolutionize the way we store data. At this very moment, development is underway for a similar mass data storage drive using Sapphire (the closest medium to the luchot) instead of quartz, to capitalize on its numerous advantages, all of which correlate with the nature of the cosmic blueprint where the Signature of the Architect is hidden. God willing, within the near future, this new technology will not only be available to the public, but recognition of this unique signature and the Name it represents, will become more commonplace and ever-present in our daily lives.
 

Either way, all would appear to be on the “write” track (and yes that was a pun ~ sorry). The scientists by the way, dubbed the crystals “superman memory crystals” after the technology featured in the now famous superman films, where superman’s father recorded all knowledge in the crystals that were given to superman. Superman’s name was “Kal-El” (Voice of God). With the help of his father Jor-El, he escapes a dying world in a one-of-a-kind vessel (like Noach). He is given up by his real parents to adoptive parents (like Moshe) with all of the parallels being somewhat obvious. The fact that science seems to be catching up to what may well be the Torah equivalent is interesting to say the least.
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Footnote 1 - One-dimensional metric geometry is a term that equates mathematic formulae with higher dimensionality. In this case, the two-dimensional geometry of a magen david  (which is the marriage of two triangles in opposing directions) is expressed in terms of one dimension as a set of numbers that equate to the number of elements (7) in each half, that correspond to it's expanded geometry in a higher dimension (7 opposite 7). 

Footnote 2 - Seven opposite seven is a repeating pattern in the written Torah, because it is a mathematic aspect of the Primordial Torah, or combined cubic form of the luchot. This is why events echo these characteristics. The Shekhina, for example, is said to have gradually departed, and that this progression went from the first firmament, to the seventh firmament. The Shekhina then returned (came back progressively) as it moved from the seventh firmament back to the first firmament (as is known) the 'events' once again reflecting the two-dimensional metric geometry of the royal seal (seven opposite seven) which is a complex mathematic construct hidden within the combined cubic form of the luchot.