Sunday, April 29, 2018

BeHar and BeChuko-thai

In this post we will show how time is measured by the geometry of the luchot and ultimately the letters in God's Explicit Name. Other posts that deal with this subject matter include: "The Eight Dimensions," Metzora, and BeHa'alothekha

This post is particularly long and rather complex, even for those who have read each of the essential constructs to the right, and so you may want to skip over it. If you are new to this blog and have not yet read each of these explanations, please do so before proceeding. The subject matter deals with (and graphically models) some of the basic connections between the letters of God's Explicit Name and the multidimensional mathematic and 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. Without this background information, it is unlikely that a person will understand any given post. There is a special connection between the Name, the luchot and the geometry of the magen. The purpose of this blog is to show how they connect and to reveal where the Signature of the Architect 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.

Insofar as this week's post is concerned, the Torah says that, “The seventh year is a sabbath of sabbaths for the land” (BeHar). During that year the land rests. We may not plant, prune or harvest. The language should sound familiar. In last week’s parashah (Emor) we read that you may work during the six weekdays but “the seventh [day] is a sabbath of sabbaths... when you shall do no work.” The first text deals with the sabbath rest for man (a cycle of 7 days) while the second text deals with the sabbath rest for the land (a cycle of 7 years). Likewise, in the last parashah, we are told regarding the omer, that “you shall count seven complete weeks [7 cycles of 7 days] until the day after the seventh week, when there will be [a total of] 50 days.” Coming forward once again to this parashah, “you shall count seven sabbatical years" [7 cycles of 7 years] and then “the 50th year shall be a jubilee.” And then in BeChuko-thai we are told the endowment value is calculated based on 50 silver shekels for each omer of barley seed (produced by a given amount of land) and “...if one consecrates a field after the jubilee... the priest shall calculate the value based on how many years remain before the [next] jubilee.” The value thus goes down from 50 (immediately after the jubilee) and later, yearly, until the remaining 7 x 7 years brings the cycle to completion. A pattern is thus established (as we proceed you will see where this pattern originates in the geometry of the luchot).

You may remember that in the last post we noticed a similar pattern. However, the focus there was on pairs of 7’s and pairs of 14’s, usually in opposing form, like 7 opposite 7 or 14 opposite 14. These patterns are seen throughout Torah and in the actual characteristics of events pertaining to the history of the Jewish people as well. In this post on BeHar and BeChuko-thai, the pattern is slightly different, as the number 7 is replicated in the form of a series of 7’s, as in 7 days; 7 x 7 days; 7 weeks; 7 x 7 weeks; 7 years; and 7 x 7 years (et cetera). What’s with the cycles of 7? And why is 50 a component of the requirement immediately following 7 cycles of 7, as in the 50th day (shavuot) or the 50th year (jubilee)? Moreover, why do we see another variation of this mathematic theme in the counting of the omer (7 x 7) as it relates to 50 shekels? 

Take a moment to fix these patterns of seven in your mind before proceeding. Each is important because the sequence of numbers is the measured geometric shell for the geometry of the luchot, with its matrix consisting of 216 elements, which of course is the  number of letters in the Explicit Name. We'll graphically illustrate using several three-dimensional models as we proceed.

In the meantime, remember that in last week’s post we showed how the letters of God’s Name were a mathematic function of a measurement known as an omer (a form of dry measure). In this parashah we see that the omer also has a connection to cycles of 7 and 50 in the value of property as it relates to the measure of time. What's going on?

Since all measurements are ultimately connected to the number and nature of the letters in God's Name, you might suspect that the measure of time is also connected. However, before we get into specifics, it is first necessary to review a few of the previous systems and show how they fit together. In order to do that we have to start at the beginning, or point of origin. A single “point,” is in essence the ultimate expression of quantum singularity (like the unity of the Holy One, Blessed be He).

From any point in space, we can create a circle around that point. A circle is measured by degrees and a full circle is of course 360 degrees. The size of the circle is irrelevant, at least at this point. We have previously demonstrated in several ways, that the Triad Havayah of 72 (God’s Name) is an integral part, really a common denominator between each and every system of measurement. For example, when the 360 degrees are divided by the number of triplets (“72”) in the Triad Name, the circle divides into 5 equal portions. When these portions are divided in half (and by the way, whenever you divide anything in two, you get, in essence, a “male” and a “female” half) each of the male and female halves of a 72 degree segment of a circle equals 36 degrees. There are 10 of these segments that can be thought of as 5 male opposite 5 female, like the sephirot are described in sefer yetzirah, and like the
5 male (mathematic) constructs and their 5 female counterparts in the cubic geometry of the luchot

Each male/female pair is a reflection of the mathematic common denominator between the 216 letters of God's Name and our reality in the physical universe. It takes form in such things as the base-ten number system to which human consciousness is "wired" (10 fingers that are 5 opposite 5). There is a second witness to the nature of the system and its connection to the Creator's Name. It can be found in the tangent of any given 36 degree portion of the circle, which (above zero) is plus or minus 3.0 or .72 (using the 2 most significant integers) alluding to the Triad Name within the system (3 x 72 = 216). It is easy to see how this system connects to the letters of the Explicit Name and to the combined cubic form of the luchot that is mathematically characterized by 5 internal constructs with 5 polar opposites, and volumetrically measured and geometrically characterized as 3 x 72 (216) cubic handbreadths (in its divided side-by-side form) as demonstrated in the construct entitled the Sapphire Twins. 

Note also, that the total number of degrees in the 'male half' of this representation of the system is 180 degrees (5 x 36 degrees) which is 'opposite' the female half, or the other 180 degrees (5 x 36 degrees). For now, just remember that each half is 180 degrees. You'll see why these 180 degree "halves" of 360 degrees are important in terms of the letters of God's Name and how those letters equate to, for example, the measure of the mishkan (tabernacle) in a moment.

In the meantime, knowing that the measure of a circle is related to the letters of God's Name, we can justify "testing" the full 360 degrees of a circle as a 'yardstick' to demonstrate the relationship between the omer and other units of measure. The assumption is valid if for no other reason than the fact that the sphere (a three-dimensional circle) is a mathematic aspect of any cube, and especially significant insofar as the geometry of the foundation stone or combined cubic form of the luchot is concerned, since its properties are "the measure" of all that God has created. 

The ephah, for example, is 1/10 of a large omer (as opposed to the small omer) like each of the 10 segments of 36 degrees above. The ratio is the same. The ephah thus equates to 36 degrees and the omer to 360. In the preceding paragraph, we could see a mathematic shadow of the triplets in the Explicit Name in the tangents at each 36 degree point around the circle (3.0 and .72). Here, we can see it in the measure of an ephah which also happens to be 72 lugim (logs).  One "measure" is a mirror image of the other, and both are a reflection of the number and the nature of the letters in the Name. These numbers or sets of numbers originate in the geometry of the luchot, but here we see them as a function of the geometry of the sphere (or in this case the circle) within the luchot.

Further, if a log is 72 lugim and equates to 36 degrees of this circular "common denominator," then one log is 36 divided by 72, or .5 (a half) of a degree, its opposing half also being .5 degrees (another reflection of those primal geometric components in the luchot). How about the hin? If one (1) hin is 12 lugin, then one hin is like 6 degrees of a circle (.5 x 12 is 6). A "bath" is 6 hin, so it's equal to 6 x 6, or 36 degrees, and of course 6 hin times the 12 lugim in a hin equals 72 lugim (in a bath). In each case, the ratio is identical to the ratio and the measure of its counterpart in the measure of the luchot that were each 6 handbreadths in any one dimension, 6 x 6 (36) in any two dimensions and 6 x 6 x 6 (216) in three dimensions (or in side-by-side form 6  x 12 (= 72) x 3 (again 216)). It doesn't matter which unit of measure we examine, it always come down to the same numbers, sets of numbers and ratios, and in each case they have a connection to the geometry of the luchot and ultimately the letters of the Name. These are just a few examples. 

Keep in mind that a circle is really just a two-dimensional shadow of a sphere, and within any cube there is a measurable sphere having a known size and volume. In this case however, we are not talking about just any cube, or any sphere, but rather the cube [of creation] (combined cubic form of the luchot)(foundation stone or mathematic foundation of the universe) and the measurable sphere within, that God used to determine the measure of the cosmos.

You'll see this in practical terms, when we show how the size and volume of the earth are proportionate reflections of the cube's measure (as demonstrated more fully in the post on the Primordial Torah). This particular cube and this particular sphere (or its circular shadow) and its actual size and volume are a fundamental aspect of the "cosmic blueprint" defined by the 216 letters of the Name. This is why all of these systems relate to one another as they do.  

The measure of the square and the circle within, or the three-dimensional equivalent in the cube and the sphere, is also what gives rise to certain aspects of the linguistic structure found in the letters of Torah, as well as the characteristics of actual events. The reason for this phenomena is that the letters are a function of its geometry. That's why gematria is so relevant for study of Torah. It is a mathematic byproduct of its physical geometry. A prime example of this phenomena is the gematria of the word 'half' in Hebrew, which is 108. The volumetric measure for each 'tablet' (each 'half') of the foundation stone (one of the stone tablets) was 108 cubic handbreadths. The gematria of the Hebrew phrase "the stones" is also 108, and the luchot were of course the stone tablets (etc). One thing dictates the other.

In continuing, we should also point out that since 1 hin equates to 6 degrees of the circle, the entire circle (360 degrees) equates to 60 hin (6 x 60 = 360). (like the Holy of Holies in the tabernacle that was 10 cubits of 6 handbreadths, or 60 handbreadths. The letters of the Name are actually the basis for, and in fact the origin of what is known in metrology (the study of various systems of measurement) as a sexagesimal or base-sixty system. It also happens that the last integer of the fibonacci sequence repeats after every sixty numbers. The measure of the luchot in terms of its two-dimensional physical space is 6 x 6 (36) in length and breadth (with its closest multiple of ten being 360) which happens to be the measure in degrees, of a full circle within that space. When we include another 6 (corresponding to the next dimension) the result is 6 x 6 x 6 or 216 (its closest multiple of ten being 2,160) like the time allotted to each constellation in the precession of the equinoxes (2,160 years) which is the measure of each stellar portion in the full circle of the precession. At this point you should begin to see (if you haven't already) how all of these measures connect to the luchot and to the Name. The letters of the Name are always the common denominator. You will see numerous three dimensional models showing the relationship between the letters, the cube [of creation] (luchot) and the passage of time, when we get into the second half of this post

Metrologists have noticed the connection that many systems have to “60” but the actual origin of the system, as it relates to the cube, or the letters of the Name that define the cube, has been lost to antiquity, even to those most knowledgeable in such things. It should be noted: the underlying reason why the Torah specifies “an honest hin” is that its measure is a reflection of the letters in God's Name, and any 'diminishment' of that measure is a desecration of the Name (halacha pertaining to theft not withstanding). 

The word "MeTRology" by the way, is related to the word MeTRon (a measure) and MeTRic, which is a system of measurement. You may know the word MeTRonome, a device for measuring time as it relates to music. However, all of these words are related to the name of the angel MeTaTRon, who measures while serving the Holy One Blessed be He. All are related. We'll expand on the connection between the 'measures' of 60 and 72 as they pertain to the letters of the Name, when we get into the architecture of the mishkan (tabernacle). Both reflect specific aspects of the 216 letters which are hidden in the ratio between the inner and outer measures of its walls, and the portion known as the kodesh kodeshim (holy of holies).

At any rate, using the 360 degrees of a circle as a common denominator, we can easily show how one system to relates another. The letters of God's Name are hidden within the numbers and the ratios between the numbers of the systems pictured below, all of which correspond, one way or another, to the same sets of numbers and ratios that we find in both the sapphire cube and the mathematic and geometric characteristics of the Triad Havaya of 72.

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2 sets of luchot x 216 cu. hb. brought down by Moshe
432 drams in a Hin / 432 cu. hb. in both sets of luchot

Notice the 2 x 216 "eggs" (in 72 lugim) and also 2 x 216 "drams" (in a hin) above. Remember also that the altar of incense was two cubic-cubits (2 x 216 cubic handbreadths). The doubling of 216 finds its origin in the blueprint (luchot/tablets) that was ultimately brought down "twice" (2 x 216 cubic handbreadths). This is why the sephirot descended twice, first in a single column, then 5 opposite 5 (male and female as described in sefer yetzirah). It was a primal specification in the geometry of the cosmic blueprint. There is complete convergence within the system, but only when that 'system' is defined by 216 elements (as in the letters of God's Explicit Name).

The balance of what you are about to read is quite profound. It requires some thought. However, it is also well worth the effort it takes to see the connection and contemplate the significance. The two halves of a 360 degree circle (2 x 180 degrees) are each the sum of 72 degrees plus 108 degrees (72 + 108 = 180 degrees). This measure and its ratio are identical to the measure for each of the two walls of the mishkan (north and south) that were 180 handbreadths (2 x 180 handbreadths = 360 handbreadths). 

These walls consisted of 20 beams that were each 9 handbreadths (20 x 9 = 180). Why is this important and how does it connect to the letters of God's One Unique Explicit Name? It should be obvious! The external portion of the walls that contain the part designated as the kodesh kodeshim (holy of holies) consists of three segments of wall measuring 72 handbreadths each (externally) while the remaining portion/proportion consists of two walls, each measuring 108 handbreadths (externally). The two walls (representing two dimensions) are each 72 + 108, which equals 180 handbreadths times the two walls = 360 handbreadths, like the degrees in a circle (a geometric aspect of the cube/luchot). Remember the doubling of 216 because the luchot were brought down twice? In the measure of the mishkan, the first measure of 216 is found in the three walls of 72 handbreadth at one end, surrounding the kodesh kodeshim or holy of holies (3 x 72 = 216). The second 216 is found in the remaining measure of the north and south walls at the other end, that were each 108 handbreadths (108 handbreadths of the north wall opposite the 108 handbreadths of the south wall). This is, in essence, a geometric reflection of the luchot that were brought down twice, each with a volumetric measure of 108 handbreadths (2 x 108 = 216 cubic handbreadths).

The inner measurements of the mishkan are no less significant. The segments that measure 108 opposite 108 are the same on the inside as the outside (216 handbreadths). However the kodesh kodeshim at the other end (surrounded by the 3 x 72 handbreadths on the outside) measured 60 x 60 x 60 handbreadths on the inside (the total length of these walls being 180 handbreadths (half the number of degrees in a circle). The various inner measures include the volumetric measure of 216,000 cubic handbreadths (60 x 60 x 60) which is simply the size and ratio of the shnei luchot, that together were 6 x 6 x 6, times ten-cubed. The total number of degrees in the angles of both the luchot and the kodesh kodeshim, was of course 2,160. Together with measures of 180 handbreadths (the inner measure of the kodesh kodeshim) and 360 (the outer measure of the two main walls) we can more easily see the point of convergence between the two systems defined by the letters. If you do the math, the volume of the kodesh kodeshim (that provided light to Israel) was 216,000 cubic handbreadths, which by the way, is half the actual radius of the sun in miles, which happens to provide light to the world (it is also one millionth of its constant positive potential of 216,000,000,000 volts2). All of these things, the purpose of their creation, their size, volume and geometry correlate with a larger reality, which is the measure of the cosmos (all of God's creation) defined by the letters of its Creator's Name.

The ratio between the volume of a sphere within a cube, and the volume of the cube that surrounds it is another place where we find a point of convergence in the geometry of the luchot. The geometry of the combined cubic form of the luchot in combination with its actual size and volume defines the metric system. The ratio of .5236 (the volume of the sphere to the cube around it) is also the ratio between the length of a meter (in the metric system) to the royal cubit (the antediluvian system based on the measure of the cube [of creation]). In other words, the cube [of creation] (luchot) is the common denominator between the two units of measure. 

In summary, the inner measure of the kodesh kodeshim reflects the letters of the Explicit Name hidden in the geometric characteristics of the combined cubic form of the luchot that were 6 x 6 x 6 (216) cubic handbreadths; and the outer measure of 3 x 72 (216) handbreadths reflects the letters of the Explicit Name hidden in the geometric characteristics of the divided form of the luchot, where the ratio/measure of each half is 108 opposite 108 (216). You might want to reread this to fix these numbers in your mind, because it is the first level of geometry associated with the letters in the (fully expanded) Name. The measurements of the mishkan are depicted below so that you can more easily visualize the connection (see also the post on VaYakhel).

Outer Measurements of the Mishkan's North and South Walls
(Corresponding to the Luchot and the Sphere/Circle)
72 + 108 = 180 x 2 = 360

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These measurements are not an accident or a coincidence. They are a function of the luchot that were both 3 x 72 (handbreadths) and 108 opposite 108 (handbreadths) at the same time, depending upon whether you perceive them as a unity in their combined cubic form, or in their divided state (side-by-side) with their respective male and female halves separated. This is the signature geometry of the Name.

The 360 handbreadths of these two walls (180 handbreadths each) are a mathematic shadow of the sphere within the cube [of creation]. That is, the 360 degrees of a circle are a two-dimensional shadow (a mathematic aspect) of the three-dimensional sphere within [the cube of] creation (or combined cubic form of the luchot) that gives rise to the measure of everything (a study of the Fibonnaci sequence/spiral in this context shows a connection to relevant gematria but it is beyond the scope of this post). 

At any rate, the point of all that has been explained above, is to show that this 'cosmic blueprint' (regardless of how it is perceived) is defined by (or "measured" by) the letters of it's Creator's Name. The circle relates to the square as the sphere relates to the cube, only in this case, it's a very special circle and a very special cube, since they are specific mathematic aspects of the combined cubic form of the luchot. The two-dimensional shadow of the three-dimensional sphere within the cube, by the way, is actually the origin of what is called the "golden spiral" that becomes the ratio "phi" at infinity. The golden spiral (of life) is always found in the combined cubic form of the luchot as a function of the number 18, or one of its multiples (like 36 when the male and female halves are taken together). This is why the ratio of phi is found in the design of every living thing, and why the gematria of the Hebrew word for "life" happens to be 18. The "geometry of life" (or what gives rise to life) literally flows from the mathematic/geometric properties of the primordial Torah or combined cubic form of the luchot (from which the letters of "the Torah of Moshe" were received). This should be contemplated and understood by every serious student of Torah. We go into much greater detail and show where some of the actual mathematic measurements are found in the cube, in the page/post entitled "The Primordial Torah."

So far, our illustration of the relationships between the systems of measurement have been primarily limited to two dimensions (the circle) and we've looked only at the ratio of one thing to another, rather than the actual measure. Our next step is to assign a static measurement to the "blueprint." To do this, we draw a square around the circle so that each side of the square is 1 cubit (or .5236 of a meter previously mentioned) which is the actual measure of the luchot. In Hebrew this is called "amah al amah" (a square cubit). One cubit is of course 6 handbreadths, and so our square contains exactly 6 x 6 or 36 square handbreadths. The square is related to the circle like the circle is related to the systems of measurement within: e.g. its 36 degree divisions (the tangent of which, when rounded to two decimals, is either ± .3 or ± .72) further divided into 6 arc-minutes, with a total of 432 arc-minutes (which happens to be proportionate to the number of drams in one hin). Further divide this into arc-seconds and you have 6 x 432 or 2,592 arc seconds, proportionate to the celestial measure of time on the "cosmic clock" in the precession of the equinoxes (times the ten 36 degree segments of the circle) which equals 25,920 arc seconds, and the actual number of years in the precession of the equinoxes, or what amounts to the celestial circle measured by the cube defined by the letters of the Name. The entire universe is a function of the foundation stone (luchot) which is in trun a function of the letters in God's Name. Contemplate this carefully.

Extrude the above two-dimensional example into three dimensions and you have a cube that is 1 cubit-cubed, or 6 handbreadths by 6 handbreadths by 6 handbreadths (1 cubit-cubed = .1435 cubic meters rounded to the fourth decimal place). More importantly, the linear measure of any give dimension of the foundation "stone" is exactly 1/6 of Pi Meters, which is an irrational number (having fractional iterations that extend to infinity). This is the measure of the sapphire cube that consists of 216 cubic handbreadths, mathematically equating to the letters in God’s Explicit Name. Again, everything is related. 

The flat two-dimensional square (around a circle) is now a 'measured' square around a 'measured' circle, and it's three dimensional counterpart is now a 'measured' cube (around a 'measured' sphere). This is literally how the size of the planet earth's sphere is 'measured' even today, as described in the post on Metzora where the 360 degrees of spherical latitude and longitude were further subdivided into arc-minutes and arc-seconds, and where, in our post on BeHa'alothekha (and the post on the Primordial Torah) we showed that it defined its actual equatorial size. And since we now have three dimensions, insofar as the combined cubic form of the luchot are concerned, and a specific measurement for it's size and volume, we can see how everything else in the universe is also defined by the letters of the Name, like for example the volume of the earth (1.08 times 10 to the 12th power). 

The actual size of planet earth (think of it as the kingdom) is one of many good examples, as it too is defined and measured by the cube of creation (primordial torah / shnei luchot) and directly proportional to its mathematic and geometric properties, that are in turn defined by the 216 letters of the Name. If you've read the posts on Metzora and BeHa'alothekha, then you've already acquired a glimpse of this, and its ultimate connection to the measure of time. When we divide the 1,296,000 arc seconds of the 360 degrees of spherical latitude or longitude of the earth, by 6,000 (which is the number of years that God allotted to man for the purpose of "creation") the result is the number of the letters in God’s Explicit Name (216). However, since the measure of this "kingdom" originates with the primordial Torah, it also defines the actual measure of the earth, which happens to be 21,600 (216 hundreds of) nautical miles at the equator (plus or minus a fractional proportion when adjusted for the resulting distortion in its oblation after the flood).  In other words, the letters of God’s Name are not only the common denominator between time and space and various systems of measurement (biblical and modern) but also the actual measure of the earth.

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The "360 Degrees" of a Circle
(Extruded into Three Dimensions within the Cube of Creation)
6 handbreadths x 6 handbreadths x 6 handbreadths = 216 Cubic Handbreadths
1 royal cubit x 1 royal cubit x 1 royal cubit = 1 royal cubit-cubed
(which is the same as 1/6 of Pi meters cubed)

The actual volume for this sphere is calculated as follows: 1 cubit-cubed = .5236 of a cubic meter (rounded to the 4th decimal place). Each "half" has a volumetric measure of 108 cubic handbreadths and the distance between any two opposing corners of the luchot is 108 handbreadths. Care to calculate the actual "volume" of planet earth? It happens to be 1.08 (to the second decimal) times 10 to the 12th power (in cubic miles) which could also be expressed as 108 times 10 to the 10th power. 

Keep in mind that between heaven and earth, this '108' is half the equation and that 108 is the gematria of the Hebrew word 'half.' It is a fundamental component of the cosmic blueprint, as it relates to the letters of the Name. To put it another way, the volume for each of the luchot and various aspects of its internal measurements are proportional to the volume of the earth because the cosmic blueprint (luchot) defines everything in the kingdom. The connection is rather easy to see.

All of these systems are interconnected in terms of their ratio with respect to one another, and also in terms of their actual static measurements, all of which are dependent upon, and literally defined by, the number of letters in God’s Explicit Name, or the number corresponding to one of its unique aspects, which are, in essence, identical to the mathematic characteristics of the sapphire cube. Without this "definition" (the 216 letters) all of the ratios, proportions and static measures fall apart. So we could say, quite literally, that the letters of God's Name are the glue that binds everything in the system (kingdom) together.

That brings us to this week’s post on Parashah Behar and BeChuko-thai and the measurement of time in cycles of 7 (finally). A prerequisite to understanding the paragraphs ahead is the post on "The Seven Eyes of God" that shows how the number seven is a natural function in the geometry of the foundation stone. If you've read that post, you will have no problem understanding what is written here, where we see a never ending sequences of 7’s, subdivided (depending upon the particular cycle of time in question) into periods of 7 days; 7 x 7 days; 7 weeks; 7 x 7 weeks; 7 months (or the 7th month) as well as 7 years; and 7 x 7 years. 

What’s going on with cycles of 7? What are these cycles of 7 measuring? In a word, they are the actual measure of "time" (also graphically illustrated on our page describing the primordial torah in terms of its "eight dimensions" (euclidean geometry). In that post we showed how the measure of time is dependent upon the 216 letters, however here, in this post, we will model it even more accurately.

Unlike space, and due to the nature of the universe, time is not constant, at least not in the sense of hours, minutes and seconds. As speed increases (through space) time slows down. As we approach the speed of light, time comes to a standstill. How then can we accurately measure time when it is obviously relative to the observer?

God taught Adam to measure time in terms of cycles that were defined by the geometry of a cosmic blueprint (that would later be given to Israel as the luchot). He also showed him how this blueprint was defined by the letters of His Name. What were those cycles and why these particular cycles? God created the universe. For six days he 'worked' (created) but then on the seventh day He rested. So it was, that cycles of 7 were established for the purpose of measuring time. But why did God choose to work for six days and rest on the seventh? Why not some other period of time? The reason is because when God looked into the (primordial) Torah (the geometry of the sapphire blueprint) He saw these cycles. We'll model them for you in a moment, so that you can see them too. However, before we do, keep in mind that a cycle is not necessarily a static measurement, but it is a measurement nevertheless, much like a clock that could theoretically speed up or slow down, depending upon the observer's place and position. It might not seem accurate, but that’s only because you are accustomed to thinking about the localized passage of time in terms of your wristwatch. When it is expressed in cycles, it is an extremely accurate system of measurement, as long as it is constrained to cycles. This is why Torah time is much more precise than any atomic clock could ever be. It is based on the mathematic constructs that are part of the 'equations' set forth in the cosmic blueprint or sapphire cube wherein we find all of the above mentioned systems of measurement, and in this case the cycles of 7 for Torah observance over time.

Torah time is measured by cycles of 7 because they actually originate in the mathematic and geometric properties of the shnei luchot (you will see in the paragraphs ahead where we graphically illustrate this "measurement"). The celestial clock that measures these cycles is the ultimate timepiece that oversees “change” throughout the system. It is completely independent of normal space-time where the passage of time is bent to accommodate movement through space. Not only is it independent, but it is static with respect to everything else.

To demonstrate how this clock ticks, we simply look at one "cycle" that equates to the 7 days of the week and sabbath... “six days you may work, but the seventh is a sabbath...” (where time stops and everything resets). Time thus becomes a function of the cycle between one shabbat and the next, and the seven night-day cycles in-between. Observance of the shabbat defines this basic cycle. It is also a shift between one dimension and another, because the next day is the 8th day and the beginning of the next cycle, all being defined by, and dependent upon the observance of Shabbat. Where and when is irrelevant. We will demonstrate the accuracy of this system in a moment, as well as its connection to God’s Name. But first, consider the picture below that shows how two-dimensions of the cube [of creation] (shnei luchot) defines cycles of 7 and 8, and how these cycles are a function of the letters in the Name. 

One Layer of the Cube (36 Cubic Handbreadths)

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Each row in any given layer of the matrix created by the cube/luchot consists of 7 elements (night-day cycles). This is the geometry that is created by the measure of the luchot, determined by and dependent upon the letters of the Name. It is also the basis of our observance of calender related halacha, as found in each and every Torah obligation expressed in letters. When you come to the end of the first row, on the first layer, you reach the 7th day which corresponds to the Shabbat. The next day is the 8th with respect to the previous 7, but it is also the first day of the next cycle of 7. Have you ever wondered why there are 7 readings of the Torah on Shabbat, and then the maftir is the 8th? All of our traditions are accurate reflections of the system/halacha/calendar/cycles established by God, whose Name governs the rules of nature. We'll show where all 216 letters of God's Name are hidden within this system when we model this in three dimensions.

In the meantime, note that there are 7 “weeks,” or 7 sets of 7 days on this layer, ending with a 49th day (or year when measured by years). Each line or layer is its own independent dimension on the "clock." When you come to the end of the first layer (7 x 7) you reach the 49th day, which is like the counting of the omer mentioned in the beginning of this post, or the jubilee cycle in years. The next day is the 50th with respect to the previous 49, but it is also the first in the next cycle of 7 x 7 or 49 days/years. At the beginning of this post we asked the reader to fix these numbers and the pattern they create in their mind before proceeding. In the above model you can begin to see their origin in the geometry of the luchot, and in a moment we will show how they correlate with the cube [of creation](luchot) in three dimensions.

In the meantime, the same model can be thought of, either in terms of days (for man) or it can represent years in the case of the land, where each row becomes a shmitah cycle of 7 years and each layer becomes a series of 7 shmitah cycles (49 years) with the 49th year or 49th plus one (50) being the jubilee. In both cases, the numbers define cycles of 7, and the cycles define a matrix of 7 x 7 x 7 elements, whether they be days, months, years or millenia. Each "element" of time, measured by cycles of 7, is a mathematic function of the geometry associated with the shnei luchot measured by 216 cubic handbreadths, and defined by the 216 letters of God's Name. This geometry goes far beyond halachah, which is, in a very real sense, the first bread crumb in the path to "life" (18). In so far as the the 50th "day" is concerned, the above model is incomplete, and we have to expand/extrude it into the third dimension, where it now resembles or represents the actual measure of the luchot.

The Cube of Creation (Luchot) 
(Defining Cycles of 49)

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The Cube of Creation (Luchot) 
(Defining Cycles of 49 + 1 or 50)

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If you remember nothing else from this post, remember that the cycles of 7 by which we mark the passage of time, find their origin in the geometry of the luchot, that in turn finds its origin in the letters of the Creator's Name.

Both models above depict transitions, from cycles of 7 (one dimension) to 8 (two dimensions) to the next higher dimension where we see the transition from 49 to 50 (three dimensions).  For purpose of measuring time, it merely defines the next point in time, which is the 50th that follows each cycle of 7 "cycles" of 7 (49). This is why 50 is distinguished from 7 x 7 (49) throughout the Torah and why various halachic requirements and events conform to this pattern. They are all a function of a larger reality defined by the letters of God's Explicit Name that it turn defines the fundamental aspects of the cosmic blueprint or cube [of creation]. The relationship that the omer has to 50 shekels and the passage of time, should now start to make more sense. All are inextricably linked to the geometry of the luchot. All originate within the mathematic and geometric parameters of the primordial torah, that gives rise to the cycles of 7 depicted above. 

Each cycle of 7 in Torah observance, whether it be days, months or years, is a function of the 'sacred geometry' associated with the cosmic blueprint that is defined by those 216 letters, so all points in time (history) invariably revolve around the sequence of the letters, words, sentences of each parashah in Torah that are required to be read according to an established schedule. It really should come as no surprise that the actual number of letters in the Torah have a direct relationship to this matrix that consists of 7 x 7 x 7 elements that take form in 7 days, 7 x 7 days, 7 years and 7 x 7 years (et cetera). This will be explained more fully in the paragraphs ahead. In the meantime, just as we found the letters of the Explicit Name in the conversion of measurements for liquid, weight and volume, and also in the three dimensions of space, in the form of latitude and longitude, so too we find the letters of God’s Name hidden within the matrix of time depicted above in cycles of 7, that are simply mathematic aspects of what is written, read, and spoken, in the letters of Torah.

As we proceed, keep in mind that the 216 letters of God's Name that define the luchot, create edges, borders and faces defined by the numbers 7, 8, 49 and 50. If you have trouble visualizing the mathematic relationship, just study the above models. Count the number of elements (cubic handbreadths associated with each letter) and the number of lines that define the edges/borders for each of its 216 elements, and you will find these numbers and sets of numbers. Then keep in mind that our calendric observance of Torah reduces to four primary numbers in sets of two. The first set of two numbers is 7 and 8; and the second set of numbers is 49 and 50. These are the numbers created by the matrix of letters in the Name (the measured geometry of the foundation stone). It is a mathematic/geometric fact. Moreover, it is a fact that is also embedded into halachic requirements and the characteristics of actual historic events recorded in the Torah. Where do we find these 'facts' pertaining to the measure of time and other characteristics of various events in the letters of Torah?

The 7’s and 8’s and 49’s and 50’s defining this matrix, are found (literally) in such things as...

  • The counting of the omer, which is 7 x 7 or 49, followed by the 50th day has already been mentioned.
  • Sukkot is a 7 day festival that culminates in 8 days with Shemeni Atzeret.
  • There are 7 years in a shmitah cycle and 7 shmitah’s in a jubilee cycle (49) with the jubilee being the 50th year.
  • There were 49 prophets including Moshe, and 7 prophetesses
  • There are 7 readings on Shabbat - 8 with the Maftir.
  • There are 7 winds for the straps on the arm Tefillin, or 8 if you include the temporary one preceding the placement of the head Tefillin, or/which becomes the wrap for the hand. The Tefillin by the way, are in the form of 2 “cubes,” reflecting the 2 times the “twins” were brought down, and any other place where we find 2 x 216 (432) in Torah math/geometry.
  • There were 49 letters in the names of the 12 tribes, but 50 with the additional letter of Benyamin/Yosef on the Shoham.
  • After the exodus, the people become frustrated with survival in the wilderness. Some decided to return to Egypt, so they retraced their steps, going back to the 7th previous camp site, where they fought an 8 day skirmish. Our Sages say that if they had returned just 1 more encampment (to what would be the 8th previous encampment) the universe would have ceased to exist. Why? You cannot "move" from one dimension to zero dimensions without ceasing to exist. Just look at the geometry modeled in the previous diagrams.
  • There are 7 white strands of tzitzith (folded over). The 8th strand is blue/techelet seen on the 4 corners of a talith.
  • Mishna Shabbat (ch 2) the Sages permit lighting with 7 different types of oil: Sesame, nut, radish, fish, gourd, tar or naptha but R. Tarfon adds an 8th (saying only olive oil).
  • High priests were announced for 7 consecutive days and then on the 8th etc.
  • Aaron's descendants must wear the 8 vestments for 7 days before performing any divine service.
  • The 8 'questions' found in Shacharit that are really 7 'statements' and 1 'question' which correspond to the Havaya of MaH (mem-heh)
  • The priest was/is (will be) required to sprinkle blood 7 times on the altar, actually 8 times, 1 up, 7 down, in the kodesh kodeshim.
  • Rabbi Weissmandl found that the words “Torah” occurred in equidistant letter skips of 49 and 50 at the beginning and the end of the first two books and the last two books of Torah. The letters of the Tetragrammaton are found in equidistant letter skips of 7 and 8, in the book of VaYikra.
  • The list is nearly endless.
It is worth reiterating that the geometry of the Name (seen in the models of the luchot above) materialize in the now famous "equidistant letter skip" discovered by R. Weissmandl, (just mentioned) who found that the letters of the word "Torah" (in Hebrew) were found at intervals of either 49 or 50, in the first two books, and also the last two books of Torah; and that the Tetragrammaton was found in intervals of either 7 or 8 in Vayikra. 

As stated above, the interesting thing about these sets of numbers is that they define the 7 points of intersection between the measured handbreadths of an underlying matrix with a ratio of 6 x 6 x 6 (the luchot in combined cubic form). The inner (hidden) matrix consists of 216 elements while the outer (revealed) matrix consist of 343 elements (7 x 7 x 7 = 343). Our repeated observance of Torah over the days, weeks, months and years conforms to the nature of the underlying geometry of the stone associated with the letters of God's Name. The number 343 is the number of elements in the outer revealed matrix, whereas 216 is the number of elements in the underlying matrix. Everything is interconnected, but when you connect the dots back to their point of origin, it is always the cube/luchot defined, as it were, by the letters of the Name.

If we were to provide an explanation of what is happening with the letters of creation in more scientific terms, it would appear that the permutations and combinations of letters (the vibrating strings of primal energy at any moment in time) define reality within the time stream. While the concept might seem arcane, or esoteric, it has been shown many times to be true in one form or another. The Torah reading, for example, does indeed have a definite connection to current events. The correlation is uncanny and has been observed over and over again. However, the aspect that rules over them (the letters of the Name) remains hidden within the matrix. We mentioned in the preceding paragraphs that we would explain the relationship between the cube [of creation] and the number and sequence of letters in the Torah.

In order to see the connection between these cycles of time (the matrix created by Torah observance) and the letters of Torah brought down by Moshe, we must first separate the letters that correspond to the universe in its present male/female form (where duality exists) from the letters that correspond to the period of time before its creation, when the sephirot were in a single column and not yet divided into male and female (or 5 opposite 5 as described in Sefer Yetzirah). This was the time before the big bang. The sephirot were, in the nanoseconds preceding creation, in a single column, and could not hold the light of the Ein Sof. This resulted in the shattering of the vessels as is known.

There are 304,805 letters in the written Torah. The first 5 letters of Bereishit (Genesis) correspond to the 10 Sephirot before their division into male and female. Since God had not yet separated the female from the male, there were only 5 (like the 5 equal portions of a circle that are 72 degrees until they are divided into male and female and become 10 x 36 or
360 degrees); or like the 5 mathematic constructs in a cube that have opposing counterparts. The first 5 letters of Torah, out of the 6 letters that spell the word Bereishit (“beginning”) correlate with the descent of the sephirot in a single column3. We are told that in the very beginning of the beginning, the sephirot had not yet been divided into male and female. The first 5 letters of the 6 letter word "beginning" are just that, literally the beginning of the word "beginning," and they correspond to the time before the big bang, when the sephirot were in a single column. They could not contain the light of the Ein Sof, and shattered, creating the physical universe that we know today. The remaining 304,800 letters correspond to the time after the shattering of the vessels (after the big bang) when the universe took its present (male/female) form, and the sephirot became 5 opposite 5. It is in this universe that we experience the passage of time.

Now let's examine these numbers. A matrix of 7 x 7 x 7 (the cycles by which we measure time) have 343 elements (7 x 7 x 7 = 343). The phrase “And God said...” as when God spoke the world into physical existence with the 10 sayings of creation, has a gematria of 343, alluding to the cycles of time (or matrix of 7) that are created or made stable by our observance.

Let's do the math. How many cycles of 7 x 7 x 7 letters can be created using the 304,800 letters of Torah that correspond to our present universe where we experience the passage of time? Answer: 888 cycles of 7 x 7 x 7 letters with a small remainder. What is the remainder? Is it significant? We’ll get to that in a moment.

The repeating cycles of 7 form a cubic matrix. Think of its 343 elements as the letters of the Torah at any moment in time (read throughout the year). The intersections between the measured handbreadths of the cube (depicted below) are like the seven eyes, or points of intersection, between the adjacent letters in the matrix. If you count them you will see the 216 spaces between the 343 "letters" of this matrix.

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To what do the spaces in between the "moments of time" in the cycles of seven depicted above correspond? They are in essence the hidden aspect we mentioned above that rules over the passage of time which takes form in the cycles of seven. They are literally the mathematic reflection of the letters in God’s Explicit Name hidden between the lines of the system (216 of these spaces). Is this a coincidence? Let's ask a second witness.

A moment ago we mentioned that there were enough letters in the written Torah to “create” 888 iterations of 7 x 7 x 7 letters with a small remainder. Care to guess what that remainder is? That’s right, it's 216 letters! The number of letters in 888 iterations of 7 x 7 x 7 (343) is 304,584. Subtract this number from the number of letters in the Torah that correspond to the universe in its present state (304,800) and you get a “remainder” of 216 letters (304,800 - 304,584 = 216). Not only are there 216 letters remaining, but we know exactly where these 216 letters begin and where they end among the 304,805 (total) letters in the Torah, and it happens to be 3 verses of 72 letters. It's not guesswork.

In addition, the gematria with kolel of the words: "The King is in the Field" (המלך בשדה) happens to be 888. So the King, whose Name consists of 216 letters, is quite literally "in the field" of 888 matrices

The point of all of this is to show that each and every one of us has within his grasp, the mathematic and geometric means to "see" the ultimate quantum singularity in terms of letters, hidden in, what is the revealed (Torah). The letters of the Torah were revealed to man along with the message they convey; that is 1) what God requires of man; 2) how things are measured; 3) relevant history and so forth. What is hidden between these letters, at their points of intersection within the matrix, is essentially the mathematic reflection of the letters in the Explicit Name. The beauty in the mathematic symmetry of creation, here shown in the measurement and passage of time, is striking. We have only to open our eyes to see it.

In closing, we must remind the reader that it is the Jewish people (the family of builders mentioned in the parable that is part of the post on Metzora) who have preserved this knowledge for its ongoing dissemination to mankind; it is the Jewish people who observe halachah, so that the matrix of time and space remains stable; and it is the Jewish people who preserve it, so that mankind can recognize the Author of the system, their Creator, and see His Unique Signature throughout every aspect of His kingdom. The Jewish people are the only people who know the letters of this Name, how to pronounce them and when and under what circumstances they are permissible to pronounce.

The purpose of this blog is to show where these letters, or "Signature of the Architect" are mathematically hidden, not only in each parashah, but in quantum mechanics, the physics of time and space, biology etc.


Footnote 1 - Thanks to Avraham Agassi for the gematria

Footnote 2 - The August 18, 1935 edition of the New York Herald Tribune reported that Nikola Tesla had "finally ascertained within a reasonable degree of certitude, [and to his] amazement, the sun was at a constant positive potential of about 216,000,000,000 volts.

Footnote 3 - Sefer Yetzirah 1:3 ("5 opposite 5")
                    Sefer Yetzirah 1:5 (this is where the sephirot are enumerated as 5 specific dimensions and presented along with

                                                   their masculine/feminine attributes)
                                                   The combined cubic form of the luchot (the blueprint) consists of 5 specific internal mathematic

                                                   constructs with masculine/feminine attributes (simple mathematic fact)

R. Kaplan in his commentary on Sefer Yetzirah explains these (sephirot) in terms of 5 dimensions and hyperspace with 32 quadrants (mathematic fact) that equate to the 32 paths of wisdom. There is of course much more between the lines.

Sefer Yetzirah (the Book of Creation) does not say the creation of these 5 dimensions are the first 5 letters of Torah (obviously, because the Torah of Moshe had not yet been received when Sefer Yetzirah was written) and kabbalists do not talk about such things, much less write them down (since they will likely be misunderstood). So there is no source to confirm (to spell out for the uninitiated) that the first 5 letters correlate with this period of time. Most sources merely allude to "the beginning / bereishit" (Gen 1:1)” “the single or vertical column” “the 5 dimensions” then “the shattering” and “their return (in masculine/feminine form) as five opposite five,” …all without much explanation. The reason why we find only allusions is because of the prohibitions regarding (the teaching of) creation, even one on one, unless the one has intuition. The explanations you will find in this post are essentially limited to known and accepted sources, and mathematic formulas in combination with the standard application of logic:

(+) Total Number of Letters in Torah:                        304,805 letters    (accepted)
          (−)  1 cubic matrix of 6 x 6 x 6:                           − 216 letters    (Shemot 14: 19, 20, 21)

(+) Balance of letters (without the above matrix):      304,589 letters   (mathematic result)
                      (−) 888 cubic matrices of 7 x 7 x 7:   − 304,584 letters  (mathematic result)

(+) Balance of letters:                                                          5 letters    (mathematic result)

The reader is free to apply the 12 enumerated rules of logic to determine what these 5 are…

Why are there 5 remaining letters?

Why makes these 5 different from the rest?
What do these 5 represent?
Where are those 5 letters?

Sefer Yetzirah 1:1 “He created His universe ...with three books [SePhaRim]
                                                                         ...with text [
                                                                            ...with number [
                                                                               …and with story (communication) [

                                                                                [the luchot were of course
This alludes to the 5 dimensions in the luchot that "God looked into” …."in the beginning [bereishit]” ...where He saw these 5  SaPphiRe "constructs” (ultimately the first 5 letters in the Torah) that were set forth before he “created,” plus 1 (after he created). R. Kaplan alludes to this in his commentary on the sefer, when he talks about the circumcision of the tongue (5 positions) and the concept of God speaking to create, and then the circumcision of the membrum (1) to maintain that which was created, via (male/female) pro-creation (duality etc) …this is further clarified when he says in his commentary on the sefer, “In general, a knife or cutting blade has one dimension less than the continuum it cuts. Therefore, in a 5 dimensional continuum [with its 10 masculine/feminine attributes] one would expect a blade to have four dimensions [8 masculine/feminine attributes]”. What are the four dimensions underlying the five? They are the four letters of Ekehyeh that precede the creation of a physical universe (with 5 dimensions) without masculine/feminine attributes, after which, the 4 of Ekehyeh become the 8 letters in the Tetragrammaton and Adnoot, with masculine/feminine attributes. If as Kaplan says, "four have three" (3 + 1 dimensions) and "five have four" (4 +1) then six have five (5 +1) like the letters of the word “bereishit” (in the beginning)].” The word b’milah in 1:1, by the way (in the beginning of sefer yetzirah) has 5 letters, and it is mentioned twice (alluding to the luchot with 5 constructs/dimensions that would be brought down twice). The above is essentially my explanation of R. Kaplan’s explanation, embellished accordingly, to provide the necessary focus for the geometry that follows). As R. Zacutto points out… it is “[this] (geometry) [that] is the beginning of wisdom." 


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