The Eight Dimensions

Part I - An Introduction to the Eight Dimensions of the Cubic Cubit

This page is one in a series of advanced constructs. Before reading about the eight dimensions, you should, at the very least, have read all of the "essential constructs" listed in the column to the right, as well as the posts listed as the most "significant posts."  

The purpose of this particular post is to explain the connection between the Name; the eight dimensions of the luchot; the patterns of letters, words, sentences, and subject matter of the narratives in Torah; and physics. In doing so, we will tie together some of the loose ends (in questions that arise) from the amazing mathematic “coincidences” presented throughout this blog. This post will be different from the rest. It is not about the patterns themselves, or where the patterns are found in the linguistic structure of the text, or the elements of each narrative. These patterns have already been explored in other posts. Rather, this post will show ‘how and why’ the patterns exist in the first place (as a function of the letters in the Name that define the luchot) and what “place” they occupy in "the cube [of creation] .”

The cube [of creation] is a term that is relatively unknown. Readers of this blog have a different focus and so we use other terminology like "the combined cubic form of the luchot," or the cube [of metatron]
(the mem-tet angel). Each term is merely a different name for the same thing. All of these references are quite obscure except for the "the combined cubic form of the luchot," which is a term we alone use for purpose of clarification. The other terminology can be found in fragments of texts, or knowledge handed down from antiquity. The concept is ancient. 

The cube [of metatron] is perhaps the most common (of these terms) in use today. It is generally depicted as a two-dimensional geometric, but even then, without much explanation. One of the more interesting sources is that of R. Ishmael in sefer hekhalot (the book of palaces) where its dimensions are definitively connected to the luchot and to the letters of the Explicit Name. This source provides confirmation that the luchot are the male and female halves of this cube. 

What makes it special is not just its geometry, but its specific 'measure' of one-cubit-cubed. Hidden within this 'measure' is of course the 6 x 6 x 6 handbreadths that provide us with a geometric reflection of the letters in the Name of the Creator. That makes it much more than just a cube or a set of geometric parameters. It is the cosmic blueprint by which the letters (of this Name) define everything that was (or is) being created; it is the template for the very nature of the physical universe; it is in fact the primordial torah that God 'looked into' before He created the world.

A cube (without a specific measure) has only a limited set of characteristics. It can be described as a regular convex polyhedron, with so many sides, so many lines and so many angles of a particular degree, but no length or volume. What makes this cube special is the measure that defines it, since the measure of this particular cube is a geometric reflection of the letters in the Name. It is by this "measure,” that all things are measured, including the foundations of the universe. Considering its special nature, we are here introducing a new term that more fully describes its characteristics: ccSpace216. It refers to the "cubit-cubed," (three-dimensional space) defined by the 216 letters of God's Name and the physics behind the nature of the universe (like string theory which is an aspect of its geometry) including its volumetric measure of 216 cubic handbreadths (6 handbreadths cubed) where each handbreadth is measured by the 5 elements of the hand.

There are multiple mathematic reflections of these properties in the cube of creation, for example, the cube has five internal mathematic constructs. Each construct exists as a "dual"  and can be expressed as 5 opposite 5, like the "elements" of a hand. One of those constructs (a tetrahedron) is different from the other four, in that it is a self dual. This is like the one thumb which is different from the other four fingers. Each construct defines the edges, points and faces of a regular, convex polyhedron. However the constructs are actually much more than just geometric definitions. In higher dimensions, they are the substance of creation. This is why the fingers of the hand are the mirror image of these constructs, and why the 5 string theories are reconciled by "dual" resonance. Our reality is 'shaped' by the specifications in the cosmic blueprint, which is defined by the letters of the Name. In lower dimensions, the geometry of "the cube" [of creation] is really just a shadow of the overarching symmetry of the universe. The geometric shapes are more commonly known as the platonic solids, but these
are merely aspects of higher dimensions, flattened into three-dimensional space. The human mind is "wired" for three dimensions, and so the shapes are easy to percieve and understand. The mathematic constructs however, are a different story. 

The three-dimensional characteristics of these constructs have been known since antiquity. In fact, they are the underlying components of what is often called sacred geometry. One has only to use the internet in combination with a search engine, to find a vast storehouse of information on this subject. The five constructs are believed to have been quantified by Leonardo Pisano,  a brilliant, albeit medieval mathematician. You may know him better as Fibonacci, as in the famous Fibonacci sequence. Of course knowledge of the constructs pre-dates Fibonacci and can be found in other documents including ancient Sanskrit texts.
At any rate, you can find a great deal of information on the “geometry” (of sacred geometry) with  a multitude of pictures, but you will find absolutely nothing on why it was considered sacred in the first place, and even less than nothing, on why it really is “sacred.” That’s because there is an almost complete lack of knowledge of God’s Explicit Name, even among clerics who have access to reliable sources.

Today, if this knowledge is known at all, it is perceived as superstition pursued by primitive men, rather than a sophisticated knowledge of the Ein Sof (the Infinite One Without End) a name referring to the Master of the Universe (the latter being a term ascribed to God by Avraham). 

Primitive superstition? Nothing could be further from the truth. Indeed, the power to manipulate the matrix, even defy the laws of physics, is contained within the secrets of “the cube.” On a practical level, if not mystical, or esoteric level, the knowledge of this cube, or the power derived from such knowledge, can be seen in the correlation between the cube (combined cubic form of the luchot) and the letters of the Name, and their direct connection to quantum mechanics and string theory, which is not yet fully understood. Nevertheless, the laws of physics are maintained, sustained and regulated by the letters. With an intimate knowledge of the Name; the sequence of it’s letters (how they are permuted) and how they are pronounced (the frequency of sound or vibrations) associated with each; the physics of quantum mechanics, and that of time and space can be more fully understood, as they are literally defined by the “physics” of each letter. To measure how one letter correlates with another, how they combine to form different letters, is both the magic of mysticism and the science of physics at the same time. The science consists of math and chemistry. The magic consists of ‘avi-ca-daber,’ or one of its variations, better known as “abracadabra.” Both are the same. It is how the Sages of Israel were able to “manipulate the matrix,” within lawfully established (halachic) parameters. A good example is what happened to Israel during the Second Temple Period.

It is well known that the Sages could have prevented the Romans from destroying everything. They could have used the power entrusted them, to establish and preserve forever, the sovereignty of Israel, but they refrained from doing so. They refrained because permission was not given to “re-write the matrix,” as it would have interfered with God’s plan for Israel and for mankind, a plan that was established from the very beginning, a plan with certain static mathematic parameters found in the cosmic blueprint, the terms of which had already been brought down in the permutation of letters received by Moshe. To re-write the matrix would have been tantamount to violating the contract.

At any rate, the point of all this is to show that the “cube of creation” is much more than just a cube, and that sacred geometry is much more than just geometry. It's about what is actually "sacred" in the math and geometry hidden between the lines. What is sacred, is the connection that it has to the 216 letters of His Name, a dynamic that has long been forgotten. The only nation on earth who has preserved this knowledge is Israel (the Jewish people) who have passed it down for millennia.

To give you an example of what is hidden between the lines, and how mankind is subject to the laws of the King in the parameters established by His Signature in the cube of creation, we’ll begin with the diagram below.

The 216 "Cubic Handbreadths" in the Combined Cubic Form of the Luchot

The letters of the Name in the combined cubic form of the luchot (6 x 6 x 6 = 216) quite literally "define" (and provide the framework for) the cycles of time, beginning with the 7 days of the week. The measure of time that begins with 7 days; expands to 7 x 7 days; 7 weeks; 7 x 7 weeks; 7 years; 7 x 7 years; 7 millennia; the week; the omer; the shmitah; the jubilee; the millennial week and so forth. 

The Jewish people preserve the “sacred” aspects of the blueprint, and the sanctity of God’s Name, which is what stabilizes the physical universe and the passage of time. Why is time measured in “cycles,” and why are they specifically cycles of 7? The answer is that time is not constant and varies according to movement through the three dimensions of space, as is known in physics. If an inch or a meter varied in length, at any moment in time, it would wreak havoc with the system. Man cannot exist without a stable system of measurement (an "honest" system). The measurement of space is constant (to the observer within that space). The measurement of time is not. It’s a paradox that can only be reconciled by the letters of God’s Name and the proper "observance" of God's chosen. When time is measured in terms of these 216 letters, as shown above, it becomes a constant (in the cycles of 7 seen in the above matrix). The system is thus sustained and perpetuated. The Sages of Israel declared that should the "observance" (of Torah) by the Jewish people, ever cease, so would the entire universe.

The 216 letters of the Explicit Name literally provide the framework for the cycles of 7 in the measure of time (as shown in the diagram above). Moreover, as you will see in a moment, the three dimensions of space, are themselves a measure of the letters and this is how time and space are connected. We went into great detail in our post on Parashah Metzora to show how the letters were the common denominator between time and space, and it is one of the posts that should be considered required reading.

In any case, the measure of time, in cycles of 7, is why we find patterns of 7s, two 7s, three 7s, pairs of two 7s and pairs of three 7s (etc) hidden just beneath the surface of the text of the Torah, as part of the linguistic structure (in the number of times certain words or phrases are repeated; the gematria of the words or repetitions of words; or the number of letters that are missing from the normal spelling to name a few). These patterns are actually reflections of various aspects of the 216 letters. Readers of this blog have been inundated with these numbers, sets of numbers and the ratios that underlie the narrative. Each of these patterns is directly linked to the measure of "the cube" of creation and specifically a reflection of one or more of its
eight dimensions that are defined by its 216 elements. We’ll give numerous examples as we proceed.

In order to explain the premise, we’ll first diagram the
eight dimensions of the luchot as depicted and discussed by several of Israel’s great kabbalists (usually offered without much explanation) like the Maharal and the Vilna Gaon. Their texts generally frame the three dimensions of space (and their 6 corresponding continuums) within the context of North-South, East-West, and Up-Down, since the mathematics can be a bit daunting. 

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The math is  more commonly known as the eight dimensions of euclidean space and corresponding geometry. It should be emphasized that these “dimensions” are geometric but they do connect with the actual physics of space, and time as well, when the dimensions are framed within the context of the letters of the Name (and only that context) at which point they become the common denominator between the two (Parashah Metzora). The physics and the geometry then merge into a comprehensive reflection of the Explicit Name and the term “sacred geometry” becomes appropriate. It is the 216 letters that are the common denominator. Since a picture is worth a thousand words, we’ll draw you a picture in the pages and diagrams ahead, so that you see the connection between the letters, the cube, the measure of the cube, it’s internal constructs, and the physics we’ve mentioned. To do this, we’ll examine the measure of the cube in terms of euclidean geometry. Just keep in mind that Euclid did not invent anything. He merely observed, quantified and effectively taught something that was already known. The three dimensions of space depicted by the Sages (above) as North-South, East-West, and Up-Down, can be seen below as the X, Y and Z coordinates of the euclidean system, each position being plus or minus with respect to the point of origin.

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We elaborated on this in the post on the waving of the four species that specifically acknowledges the 216 letters in the Author's Name (the Author of the system). In this system, any position within the three dimensions of space can be mathematically expressed in terms of  its X, Y and Z coordinates. You may remember this from your high school math and algebra classes. Subsequent formulae would use known variables to solve for an unknown variable in a mathematic expression. Don’t worry, for the purpose of this post, none of the formulae are really important. What is important is that you see the relationship between one thing and another, specifically the cube of creation, and especially in terms of its "eight dimensions" which are an aspect of the letters in God's Explicit Name. This is what puts the “sacred” into sacred geometry.

Note first of all that when the three dimensions shown above, are measured according to this system, it creates a division resulting in eight quadrants. The picture below illustrates the point more clearly and, as you can see, each X, Y, and Z axis, merely divides and separates one quadrant or quadrants, from another. When the eight dimensions are defined by 216 elements, the numbers associated with each quadrant are quite amazing in that they not only define (the patterns in the letters of) Torah, but the physics of time and space, and the forces in quantum mechanics. This will be graphically illustrated along with the associated letters in Part II.

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In the picture above, the red represents the X axis, the green is the Y axis and the blue is the Z axis. These are the North-South, East-West, and Up-Down, or six "continuums" of three-dimensional space depicted by kabbalists. The eight quadrants (or dimensions) are easy to distinguish, and in the paragraphs ahead, we will populate each with the letters of the Name (at least mathematically and geometrically) to show the connections between the handbreadths (letters) and each of the patterns, halacha, event or established scientific premise.

In the picture below,  the X, Y and Z axis disappear, but are replaced by the 216 elements divided according to the
eight quadrants of the three dimensions. Each axis is still visible, but it takes the form of a space between the quadrants. You will see some examples of where these divisions, and the numbers associated with each, are hidden in the text of the Torah, as we proceed. You will also see how they correspond to patterns that reflect the nature of the letters in the Name and its primary abbreviations.  

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The picture above shows the 216 cubic handbreadths of the luchot in terms of these
eight quadrants or "dimensions." The Hebrew letters of the One Explicit Name essentially define and "support" the structure, but the structure conforms to (or is a reflection of) the abbreviations of the Name. We won't get into specifics at this point, but this is where the four-letters of the Tetragrammaton and the four-letters in the Havaya of Adnoot (that are four opposite four) are found in, and literally define or "limit" the parameters of the "cosmic blueprint" (primordial torah). 

The primary letters of these two abbreviations each have their respective "place" on each of the four corners, that are opposite the four corners on the other half. Each "pair" of quadrants corresponds to one "couple" in the marriage of the letters between the four-letters of the Tetragrammaton and the four-letters of Adnoot. These letters in turn "define" the physics of the universe. That's why there are four observable dimensions (in physics) where each has two continuums or "directions" (four opposite four). And the similarity doesn't end there!  

The marriage of these "couples" (in the letters of the abbreviations) have other very special characteristics. For example, as we discussed in our post on Ki Thetze, the marriage of one couple is different from the other three, specifically the vav and the nun which are "subtracted" as is known (minus instead of plus). The physical universe is a reflection of these letters. So the one dimension of "time" is decidedly different from the other three dimensions of "space." The forces in quantum mechanics are also a reflection of these letters in that one (gravity) is different from the other three (the small nuclear force, the weak nuclear force, and electromagnetism). The one force (gravity) pertains to the largest of objects like planets and solar systems, whereas the other three pertain to the very smallest objects in the universe, like subatomic particles etc. In the case of the four letters opposite four letters, where one couple is different from the other three, the couples sustain the male-female aspects of the universe (duality) without which, the universe could not exist.

We will refrain from placing the letters in their respective positions within the matrix, for obvious reasons, and instead move on to the 12-letter abbreviation(s) or Tri-Tetra-Grammaton, as we call it, and it's counterpart(s).

The 12 letters (or 3 x 4-letters) found in the 12-letter abbreviation, defines (or really limits) the nature of three-dimensional "space" (as shown in the red, green and blue model). This will become even more apparent as we proceed. In the meantime, notice that the four corners in the matrix, opposite the other four corners, each have three "outer" faces. There are a total of 12 of these particular faces on each half of the cube [of creation] corresponding to the 12-letter Name and its 12-letter counterpart. Both the four-letter abbreviations and the 12-letter abbreviations (the four on each of the three faces) are the "outer face" of the Name with 216 letters.

When the 216 letters of the Explicit Name are in their 'proper positions' within the matrix (of the combined cubic form of the luchot) then these particular (primary) 'Names' define the "outer borders" of the matrix, that in turn defines the actual parameters of time and space; quantum mechanics; string theory, the E8 Lattice (etc); in short, the physics of the universe. All of this will be graphically modeled as we proceed for those who may feel perceptually challenged. 

The letters of other alphabets by the way, are less than perfect “shadows” of their more accurate Hebrew counterparts. The Hebrew language was preserved by Shem and Ever (Ever’it / Hebrew) before Avraham, Yitzak and Yaacov were ever born. In order to understand the significance of the letters and their permutations and combinations in the text of Torah (as it pertains to the above picture) we have to engage in a little recombinant chemistry, and un-divide the above cube. In the picture that follows, we have a diagram that we’ve shown many times before showing the measure of all three dimensions of the combined cubic form of the luchot (6 x 6 x 6 = 216).

The volumetric measure in handbreadths (216) corresponds of course to the number of letters in the Explicit Name. Moreover, when they are placed side-by-side,  the ratio becomes 6 x 12 (72) x 3, reflecting the triad nature of the permutation of letters as is known.

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This pattern of three 6s appears over and over again in the linguistic structure of the words, sentences and the narrative in Torah (as mentioned in just about every post and also above in our discussion of 7s).

There is however another pattern that is also found over and over again in the text, and it is closely related to the
three 6s. Just as we find repeated instances of three 6s in the narratives, we also find six 3s. The two are not the same. Or are they? Flashback to the eight dimensions of the luchot previously mentioned, and you will see that six 3s are merely a different way of measuring the same matrix. More specifically, it is how we would "measure" space when it is divided (in half) along all three dimensions (as opposed to merely dividing one dimension in half as in the case of the luchot).

The picture below graphically illustrates why we see patterns of six 3s along with patterns of three 6s in the structure of the text. The six 3s are actually a function of the eight dimensions, which are a function of the abbreviations.

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3 and 3   by   3 and 3   by   3 and 3

It is at this point that each of the eight quadrants begin defining certain aspects of creation, either singularly or in combination with adjacent or opposing quadrants. Before we proceed, please note that any given quadrant now consists of a mini-matrix that is 3 x 3 x 3, as shown below.

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3 x 3 x 3 times 8

You may have noticed how many times the Sages of Israel represented things, or established procedures involving 3 protocols with 3 more protocols, often ending with yet another 3 protocols (examples include the collection method for the Machazit HaShekel / others too numerous to mention). Each representation or procedure was designed to honor the Creator and acknowledge His Name.

When we examine any given quadrant as it pertains to the matrix, we begin seeing the additional patterns of words, sentences and repetitions of those words and sentences, in the stream of letters found in Torah. For example, one of the patterns that continually emerges consists of three 9s. Another consists of nine 3s. They are not same. Yet, when you examine the patterns from the standpoint of the matrix, you can see that they are merely two different “measures” of the same thing (or two different reflections of the same geometry). Below, we’ve diagrammed them as nine 3s, and below that three 9s.

Nine 3s (Triplets)
Three 9s

What part do these "constructs" play in our reality? The first thing you should notice is that the volumetric measure of each dimension equates to 3 x 9 or 27 cubic handbreadths. 

The "measure" of each handbreadth is defined by one specific letter in the Name, by which all things are measured. There are 22 letters in the Hebrew Aleph Bet, however there are in addition to these 22 forms, another 5 forms that are variations (ending forms) for a total of 27 "forms" of letters (primordial energy) that define each of the eight "aspects" of three-dimensional space. 

These numbers reflect the nature of the Triad Havaya of 72, written as 9 triplets on 8 lines (in two dimensions) although here we see them in three dimensions as 9 "triplets" in the 8 quadrants in the three-dimensional space of the luchot. 

The menorah depicted by the RamBam is a two-dimensional representation of this "space." 

The Menorah as Depicted by the RamBam

It has 9 triangular cups (27 points) on the 3 branches to the left "opposite" another 9 triangular cups (27 points) on the 3 branches to the right. This is the same as any two, of the eight quadrants in the matrix. The higher dimensions are hidden, because they've been flattened into the two-dimensional reference frame of the menorah. The other dimensions are still there, but cannot be seen by virtue of the limitations of two-dimensional space. Where are they?

The upper part of the center column represents the third dimension. Since we are limited to a two-dimensional frame of reference, we "see" only three triangular cups on one branch "above," however notice that this "dimension" is juxtaposed against yet another dimension (below) where we "see" only one triangular cup. This represents the fourth "dimension," which is almost completely hidden. Why? It is two dimensions above the two-dimensional reference frame of the menorah. Each has only a third the number of elements of the previous dimension. Coincidence?

It was this menorah that was kept continually burning, and provided "light" for the one who was chosen to perform the divine service. At this point, anyone who might foolishly assert that these observations are the result of primitive men pursuing superstition, will likely also believe that it was the tooth fairy who provided them with their insight into God's Name, this level of mathematics and its connection to the luchot and to the magen david, and ultimately the physical universe. 

It doesn't matter whether you are talking about the eight dimensions of the luchot, each with 3 times 9, or 27 elements; the letters of the Aleph-Bet; or the menorah. They are all reflections of the letters in God's Explicit Name, perceived as either 9 triplets on eight lines within a two-dimensional reference frame, or as 9 triplets in the eight quadrants of three-dimensional space, within the reference frame of the luchot. 

For an example of nine 3s in Torah, see the 72 Reflections on: Yitro 
For an example of three 9s in Torah, see the Sapphire Magen David on: VaYechi

In addition to the patterns of nine 3s and the three 9s, both of which correspond to the 27 elements in each of the eight quadrants of ccSpace216, the combination of any two of these quadrants also has relevance in the cosmic scheme of things, as found in the 27 (3 x 3 x 3) opposite the 27 of another (the total being 54). How many 54s are there in the matrix of the cube of creation. There are 4 (4 x 54 = 216). 

The Menorah as a Reflection of the 216 letters

Each "54" corresponds to a "couple" in the marriage of the letters of the abbreviations. Do you remember how many times the word mateh/staff (with a gematria of 54) was used in a sequence pertaining to a plague, in (for example) Parashah BeShalach or Parashah Shemoth? It was used 4 times in each sequence (4 x 54 = 216). This is the same as the geometry of the matrix in which the numbers originate. They are deeply "embedded" in both the words of the narrative, the gematria of the words, and the number of times the words appear. The complex linguistic structure together with the "physics" of the letters are beyond the ability of any man, or group of men, to fabricate, let alone weave into a meaningful narrative, demonstrating once again the divine origin of the luchot as well as the permutations of letters and words that flow from it. 

Please take the time to contemplate the implications of what you have read in this post. 

A Cubic Cubit is simply another term for the combined cubic form of the luchot. The luchot were each 6 x 6 x 3 (handbreadths) and together in cubic form, they were 6 x 6 x 6 handbreadths. Since there were 6 handbreadths in a cubit, the measure for the shnei luchot expressed in cubits, was a cubit-cubed.

Part II - The Fractional Proportions of ccSpace216 and their Significance

In Part I of the
eight dimensions (above) we introduced the reader to the concept of the cube of creation and its 216 elements. We also provided information on its primary dimensions and those of its quadrants and provided several examples of where these “patterns” (mathematic symmetry) is found in the linguistic structure of the Torah. In this section we will look at each of the dimensions in combination with its opposing dimensions, in terms of their fractional proportion to “the [entire] cube,” and provide an overview of their significance.

The first thing to emphasize is that when “the cube” is divided in half, we get the shnei luchot (2 tablets) where each is 108 cubic handbreadths. The gematria of the Hebrew word for “half” is 108, or half the number of letters in God’s Explicit Name, and so we can begin to see the interconnectedness between the cube of creation, the letters of creation, and the Name. However it goes much deeper.

The picture below shows the progression in the division of
ccSpace216, first in one dimension (which results in the luchot) then two dimensions where we see the marriage of the four “couples,” and then three dimensions, where the couples are polar opposites. This “progression” (in the division of the cube of creation) is the actual sequence of events of the creation process. The “unified” form of the letters of the Name (216) are “divided” into their male-female counterparts (2) in order to create a universe in like form. This results in 108 letters opposite 108 letters, seen in the volumetric measure of the luchot, which on a certain level is incomprehensible. The four-letter abbreviation (four) the Havayah of Ekeyeh (which is comprehensible) conforms (divides) and becomes the four letters opposite letters four in the abbreviations of the Tetragrammaton and the Havaya of Adnoot (eight). The sephirot then “return” in like form (male-female).

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The division we spoke of, in the preceding paragraph, represents the division of “the combined cubic form of the luchot” first in just one (of three) dimensions. When we divide this first dimension in half, we see a reflection of the shnei luchot, but when it divided in half again, we see the four “couples” in the
eight dimensions, that reflect the marriage of the 4 “couples” in the four-letters of the Tetragrammaton and the four-letters in the Havaya of Adnoot, that create the four-letters of Ekeyeh. The picture below, shows the mathematic equivalent in the marriage of the opposing “couples” in the eight dimensions, and the letters associated with each “dimension.”

                                   Aleph-Hey-Yud-Heh          Yud   - Key  -  Vav  -  Key
                                                                            Aleph -Dalet -  Nun -  Yud

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The letters on the left are those of Ekeyeh. The letters on the right are those of Ekeyeh, after having been divided into their male-female counterparts to create and sustain a universe in like form. The quadrant(s) in the foreground show the Yud of the Tetragrammaton, married to the Aleph of Adnoot, that become the Aleph of Ekeyeh. Notice the Vav of the Tetragrammaton on the opposing (far) corner is pictured (colored) differently from the other four letters. Its “marriage partner,”  is below and cannot be seen in this two-dimensional representation. However, it is pictured differently from the other three (of Adnoot) because it too is different. The Vav and the Nun combine differently in the recombinant form of the Name as is known. We do hope to have an iBook available soon that incorporates all of the above pictures as three-dimensional models that the reader can spin around in three dimensions, to see how everything interconnects. We’ll let you know when it becomes available.

In the meantime, its important to understand that these letters define the forces of quantum mechanics, as pictured below. One force (gravity) is different from the other three, just like the letters. It deals with extremely large and visible objects, like planets and solar systems, while the other three forces deal with extremely small and invisible particles, on the atomic or subatomic level. The picture below, shows the relationship between the four male-female forces of quantum mechanics and the letters that are associated with each force.

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The four forces are defined by the corresponding letter. Had the letters not been divided into their male and female counterparts, the universe could not exist. Were the letters of the Name to actually “unify,” other than in the mind of the “observer” (as in the process of unification during the four bows) then the universe would return to its original state, absent duality, and all matter would collapse.

The picture below  depicts the same letters. However, this diagram shows how they define the
four observable dimensions. Just as it is with the letters (where one couple is different from the other three) and just as it was in quantum mechanics (where one force was different from the other three) so too, in the physics of time and space, one dimension is different from the other three. We can move about freely in the six continuums (directions) of space, but not so with time. Mankind’s movement through time is limited to one of the two continuums. That is, he can only move forward in time.

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The entire universe is literally a mirror image or shadow of the letters in the Name. That’s why 216 and other patterns in Torah are related to the symmetry of HE and HO in string theory and E8 (See the post on Mishpatim and also Shemeni and Tazria).

We will close Part II of this series with a brief explanation of where the patterns of two 18s and eighteen 2s (found in the linguistic structure of the Torah as frequently referenced at the blog on 72 Reflections) are found in
ccSpace216, shown below, in their primal form as geometric constructs within the cube of creation.

The picture below shows just one layer and just one "set" of the two 18s, out of a possible 18 sets, in all three dimensions, within the matrix.

The Two 18s

Any layer in any of the three dimensions of ccSpace216, is equal to 36 cubic handbreadths (36 letters). When the cube is divided in half (in one dimension) the male-female nature of the universe is found in the two 18s. A reverse reflection can be seen in the (3 x 3 x 3) or  27 times that "four opposite four" are found in ccSpace216, where any given "half" (male and female) of each four opposite four, consists of 18 twos. This pattern is repeated over and over again in the mathematic substrata of the Torah. Moreover, the eight dimensions of ccSpace216, (each with a volumetric measure of 27 cubic handbreadths) are the template for the 27 "mini-cubes" within, each consisting of 4 cubic handbreadths opposite 4 cubic handbreadths.

The 18 Twos in the Reverse Reflection

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Every pattern in the numbers, sets of numbers, and various ratios between sets, that are found in the linguistic structure of the Torah, is a function of the geometric dynamics of ccSpace216. When we consider that each is comprised of specific permutations and combinations of the letters in the Explicit Name, and that certain permutations and combinations define the four (+/-) forces of quantum mechanics and the four observable dimensions of the universe, it's hard to ignore the Torah, or suggest that its words, sentences, halacha (laws) and events are mere "inventions" of men. It is indeed "the cube" of creation, or "the cube" of metatron (or shnei luchot) or whatever you wish to call it, and it is defined by the letters of the Name.


(This ends Part II of the 8 Dimensions. Part III will be posted as soon as possible)

Click here to read the advanced construct on: The Incense and the 216 Letters


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