Sturdy Foundation

Sturdy Balance of Words

10th Merkaba Number

Honesty

Geometric Properties

Central Pillar

Unique Word Combinations

More on 6

Sturdy Foundation Numbers

Mathematically, and geometrically, the primary split in Genesis 1:1 is 703/1998

Geometrically, 703 is the base of the Triangle of 28 letters.

Mathematically, both 703 and 1998 are divisible by 37.

703	=	37×19
1998	=	37×54

703 = sum of thousands for 2701 (2+701 = 703).

999 = sum of thousands for 1998 (1+998 = 999).

Both 703 and 999 are rare sturdy foundation numbers.

703²	=	494,209 494+209=703
703³	=	347,428,927 347+428+927=1702 (1+702=703)
703⁴	=	244,242,535,681 244+242+535+681=1702 (1+702=703)

So too for all powers. The sum of thousands always reduces back to 703.

Likewise for 999:

999²	=	998,001 998+001=999
999³	=	997,002,999 997+002+999=1998 (1+998=999)
999⁴	=	996,005,996,001 996+005+996+001=1998 (1+998=999)

So too for all powers. It always reduces back to 999.

The only numbers that act like this for sum of thousands are 999,703, and 297.

297 is related to 999 in that it's sum of hundreds is 2+97 = 99.
Both these numbers 297 and 999 are rooted in the properties of 9 as we'll see.
Interestingly: 1998 + 8991 (mirror reflection) = 297×37

Thus, 703 is unique. No other number not rooted in 9 acts like this.
7+0+3 = 10
Interestingly: 703 + 307 (mirror reflection) = 1010

Both 9 and 10 represent ordinal perfection.

10 represented by 703 is the perfection of the Collective (Klal).
9 represented by 1998 is the perfection of the Units (digits) (see Maharal Avot 3:13, the units go until 9).

In addition to the above sturdiness in the sum of thousands, the verse exhibits another sturdiness:

Gematria of First Verse
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
913	203	86	401	395	407	296
Multiplying Gematrias of Words: 296×407×395×401×86×203×913 =304,153,525,784,175,760 Sum of the Thousands: 304+153+525+784+175+760 Total=2701 (same as the Gematria)

Doing the same for the Arizal's "previous letters" transformation of the verse (see "Pi and Genesis" for more details of this transformation):

Gematria of First Verse (Arizal's previous letter Transformation)
אקארטש	אקא	אכדטמ	אש	דרלטמ	האש	דאקצ
611	102	74	301	283	306	195
Multiplying Gematrias of Words: 195×306×283×301×74×102×611 =23,441,320,387,747,080 Sum of the Thousands: 23+441+320+387+747+080 Total=1998

Thus, we see another sturdiness in 2701 and 1998 and Genesis 1:1.
Namely, not only their sum of thousands is unchanging (703, 999) but also the balance of words and even their order in the Hebrew alphabet is also fine-tuned and sturdily built around 2701 and 1998.

As before, 703 represents 10 while 1998 represents 9.

10 represents ordinal perfection while 9 represents units perfection.

The number 9 also represents absolute Truth.

The Hebrew word for truth "Emet" has Gematria of 441 = 4+4+1 = 9 (small gematria).

9 is a sturdy number in that any number multiplied by 9 always reduces to 9.
For example:
9×2 = 18 = 1+8=9
9×43 = 387 = 3+8+7 = 18 = 1+8 = 9
So too for all numbers. It always reduces back to 9.
This perfection is unique to 9.

In that sense, 9 is the sturdiest of all digits and thus represents absolute truth which is universal and unchanging.
(we see this sturdiness also in physical light which represents absolute truth and whose absolute speed is the only thing unchanging in the universe. Even time and space yield to it, contracting and dilating to preserve its absolute speed.)

The Hebrew word for truth is also sturdy.

אמת=Truth

אמת spans entire Hebrew alphabet like
the foundation of a building which spans the whole building

According to the Talmud, Truth is the "seal of G-d". For it contains the first, middle, and last letter of the Hebrew alphabet (of the 27 Hebrew letters, Mem is the exact midpoint). So too, G-d "was, is, and always will be" (R.Moshe Shapiro).

The Talmud also brings that each letter stands on a firm base like bricks unlike the word falsehood whose letters all stand on one leg (Shab.104a).

Our sages said the world was created with Truth (Baal HaTurim Gen.1:1), as written: "the beginning of Your word is truth" (Ps.119:160).

"Truth" corresponds to the sixth sefira - the Sefira of Yesod (see right picture). Yesod, as its name implies, its lights are the FOUNDATION of the world (Yesod is also the 9th Sefirah if one counts the 3 higher Sefirahs).

Interestingly, the sixth milui (letter expansion) of "Truth" = 1998.

Milui (letter expansion) of אמת
(Small Gematria)

א	מ	ת
אלף	מם	תו
12	8	10
1st Milui Total=30 (see left) (small gematria)

1st Milui = 30
Repeating this same letter expansion again gives:
2nd Milui = 70
3rd Milui = 161
4th Milui = 372
5th Milui = 862
6th Milui = 1998

"Truth" also appears in the Sofei Teivot (end letters) 6 times in the creation account. The first appearance is in the first 3 words of Genesis 1:1 (Baal HaTurim).

Last Letters form "Truth" (Baal HaTurim)
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
ת	א	ם
אמת Truth

Why Sofei Teivot (end letters)? Because in the end the absolute truth will come out (Orchot Chaim, R.Eliyahu Kohen). Lies can take a grip but eventually they fade away. Only truth remains forever!!!

Likewise, in the 3 concluding words of creation (recited in the Friday Night Kidush)
וַיְבָ֤רֶךְ אֱ-לֹהִים֙ אֶת־י֣וֹם הַשְּׁבִיעִ֔י וַיְקַדֵּ֖שׁ אֹת֑וֹ כִּ֣י ב֤וֹ שָׁבַת֙ מִכָּל־מְלַאכְתּ֔וֹ אֲשֶׁר	בָּרָ֣א	אֱלֹהִ֑ים	לַעֲשֽׂוֹת
	א	ם	ת
אמת Truth

Thus, here too the word "Truth" spans the entire creation account (first 3 words and last 3 words), like the foundation of a building which spans the whole building.

Interestingly, "Truth" appears again in the Sofei Teivot (end letters) of the 2nd, 3rd, and 4th words of Genesis 1:1.

Last Letters form "Truth" (Baal HaTurim)
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
	א	ם	ת
אמת Truth

And again in the exact center of the verse.

Center Letters form "Truth"
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
		ם	את
אמת Truth

It is also hidden as a Gematria in the 2nd "Lifnei" (previous letter) which digs to the root^[1].

Gematria of First Verse (previous letter Transformation)
אצאקחר	אצאא	איגחכ	אר	גקכחכ	דאר	גאצע
Total=441 = "Truth"

Thus, Truth appears 6 times in the first 5 words which equal 1998. In the first 3 words, the next 3 words, the central letters, hidden in all 5 words as Gematria, in the 6th milui (letter expansion), and as we'll see soon - in the first word (913).

Hence, the 1998 split of Genesis 1:1 and indeed the entire creation account is firmly founded on the sturdy foundation of truth.

As before, the word "Truth" appears SIX times in Sofei Teivot (last letters) of the creation account.

בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים	(Genesis 1:1)
בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת	(Genesis 1:1)
וַיַּ֧רְא אֱ-לֹהִ֛ים אֶת הָא֖וֹר	(Genesis 1:4)
וַיִּבְרָ֣א אֱ-לֹהִ֔ים אֶת	(Genesis 1:21)
וַיַּ֤רְא אֱ-לֹהִים֙ אֶת־כָּל	(Genesis 1:31)
בָּרָ֥א אֱ-לֹהִ֖ים לַעֲשֽׂוֹת׃	(Genesis 2:3)

Notice how all 6 instances of "Truth" involved G-d's Name "Elokim".

This Name of G-d refers to G-d's attribute of Justice and Truth (the Netziv's commentary says it also refers to the precise laws of nature which do not go out of their bounds)

Notice also that all 6 instances used the letter "Mem" of "Elokim" which is the center letter of "Emet" (truth) and center letter of the Hebrew alphabet.

Incredibly, there is one unique instance in all of the Tanach (Bible) for Sofei Teivot (end letters) of א-להים (Elokim). In the book of Isaiah:

"For I am the L-ord, Who loves justice, hates theft in a burnt offering; I will give their work in truth and make an everlasting covenant with them" (Isaiah 61:8)
כִּ֣י אֲנִ֚י יְ-הֹוָה֙ אֹהֵ֣ב מִשְׁפָּ֔ט	שֹׂנֵ֥א	גָזֵ֖ל	בְּעוֹלָ֑ה	וְנָֽתַתִּ֚י	פְעֻלָּתָם֙	בֶּֽאֱמֶ֔ת וּבְרִ֥ית עוֹלָ֖ם אֶכְר֥וֹת לָהֶֽם
	א	ל	ה	י	ם֙
between the words: "justice" and "truth": (Elokim) א-להים Last Letters:

"Justice" and "Truth" are both related to the Name "Elokim" such as: "for justice belongs to Elokim" (Deut.1:17) and "but the L-ord Elokim is truth" (Jer.10:10).

Thus, this is obviously too coincidental to be a coincidence.

I asked Oren Evron, an Israel expert on Genesis 1:1, and he wrote back almost immediately:

שֹׂנֵא גָזֵל בְּעוֹלָה וְנָתַתִּי פְעֻלָּתָם = 1990
1990 = Merkaba (3-Dimensional star of David)
Not only is it a Merkaba, but this Merkaba is the sum of all Star numbers until 541 = Israel!!
Meaning it is also a Star of David 3-Dimensional Pyramid, where the base is Israel = 541:
1 + 13 + 37 + 73 + 121 + 181 + 253 + 337 + 433 + 541 = 1990 (see chapter "Star of David")
It is the 10th Merkaba number!!! (7th is Merkaba of Havaia).
I think this is Merkaba of Elokim. Since Israel is connected to Elokim.
Wonderful!!!
Furthermore, the Tetrahedrons of this Merkaba are 165!!!
So you form this 10th Merkaba by using 2 Pyramids of 1330 each.
The cancelled part = 1990 - 1330 = 660. So you get 4 Tetrahedrons of 165 each (for the cancelled part).
This requires further investigation. Wonderful finding!!!
Ashrecha!!!
the small gematria is 91! = Havaia A-donai
This finding is a diamond!:)

Interestingly, the Hebrew word for "honesty" is יושר
This word appears one unique time in the entire Tanach (Bible) in Roshei Teivot (first letters. there are no instances in Sofei Teivot/end letters in Tanach).
In the book of Proverbs (Mishlei):

"Deceitful scales are an abomination of the L-ord, but a just weight is His will" (Prov.11:1)
מֹאזְנֵ֣י מִ֖רְמָה תּוֹעֲבַ֣ת	יְ-הוָ֑ה	וְאֶ֖בֶן	שְׁלֵמָ֣ה	רְצוֹנֽוֹ
	י	ו	ש	ר
first letters: יושר (unique instance)

Amazingly, the single unique instance in all Tanach (Bible) of "Honesty" is exactly in the right place and begins with G-d's Name, "teaching the seal of G-d is truth" (Shab.55a).

Interestingly, the Kaddish prayer also opens with "Honesty" as first letters:

Kaddish Prayer
יִתְגַּדַּל	וְיִתְקַדַּשׁ	שְׁמֵהּ	רַבָּא
י	ו	ש	ר
first letters: יושר (honesty)

For by acting honestly, a Torah observant Jew sanctifies G-d's Name in the world (from the book "Niflaot MiToratecha" by Rabbi Aronovsky pg.316).

As before the 6th Sefira is Yesod. It is the foundation of the world and is associated with Truth.

The 3 Gematrias of Truth are:

Standard Gematria	=	441
Ordinal Gematria	=	36
Small Gematria	=	9

Our sages said the world was created with Truth (Baal HaTurim Gen.1:1), as written: "the beginning of Your word is truth" (Ps.119:160).

Interestingly, the Torah's first word "Beresheit" (in the beginning) has gematria of 913. Taking the FIRST 913 LETTERS of the Torah and summing their ordinal Gematrias gives 10431
Observe how all the subgroups of 10431 are related to "Truth".

10431	Sum of Thousands	=	10+431	=	441	(Standard Gematria of Truth)
10431	Sum of Hundreds	=	1+04+31	=	36	(Ordinal Gematria of Truth)
10431	Sum of Digits	=	1+0+4+3+1	=	9	(Small Gematria of Truth)

Prior to 10431 there are NO other numbers that gives this result.

As we saw, in the first five words which have Gematria of 1998, "Truth" appears multiple times. Interestingly, Genesis 1:1 has Gematria of 2701. The primary numerical and geometric split is 703/1998. Both 2701 and 703 are triangular numbers (73rd and 37th triangles respectively). Thus, 2701 dots can be arranged as a perfect triangle with a top triangle of 703 dots and a base of the remaining 1998 dots hinting that Yesod/Truth which corresponds to 1998 is the foundation of the world. 703 = "v'et Haaretz" (the earth). (see below picture)

And in the Zohar (Mishpatim 116a):

"the Sofei Teivot (end letters) in Genesis 1:1 בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת spell 'Emet'.. since those who speak truth uphold the world, for truth is the middle pillar of the world and through it the building of the world stands'"

Interestingly, the Tikunei Zohar (50b) teaches there are 36 (=6×6) hidden Tzadikim (righteous) in every generation on whose merit the world stands. The Tzadik is associated with the Sefirah of Yesod, as written "Tzaddik Yesod olam" (the tzaddik is the foundation of the world) (Mishlei/Proverbs 10:25).

According to the Kabala, the Sefira of Yesod is the KEY TO WISDOM and is associated with Yosef HaTzadik. Before one can merit to acquire true torah wisdom, he must rectify his own sefirah of Yesod. Yesod itself is called "mafteach" (key) in the secret of the 1000 keys [of wisdom] (Etz Chaim shaar 34, ch.2, klal 16).

Interestingly, in Tanach there is one single instance of "mafteach" (key) in Sofei Teivot (end letters. there are no instances in roshei teivot/first letters). By Yosef Hatzadik who received the keys of wisdom:

"And Pharaoh named Yosef Zaphenath Pa'neach" (Gen.41:45)
(he who explains hidden things)

וַיִּקְרָ֨א פַרְעֹ֥ה

שֵֽׁם

יוֹסֵף֘

צָֽפְנַ֣ת

פַּעְנֵ֒חַ֒

end letters:

מפתח

(key)

For Yosef was given the keys to divine wisdom due to his rectifying his Sefira of Yesod. So too, for anyone who merits to rectify his trait of Yesod as is known from holy books.
(interestingly, Yosef = 156 = 6×26 (26 = Tetragramaton). this is for the tikkun of Yesod, the 6th divine sefira and for the letter "Vav", connecting to G-d through matter which has 6 sides etc.)

Also interesting: the base of the Triangle of 28 letters is וְאֵ֥ת הָאָֽרֶץ with Gematria of 703. The last letter is Tzadik ץ (90) and the rest has Gematria of 703-90=613.
Similarly, the whole verse is 2701. Without the ץ (90), it is 2701-90=2611=2+611=613 (Sum of Thousands).
Another hint, the Tzadik who keeps the 613 mitzvot is the foundation of the world.

The 703 base is the core foundation "Ve'et Haaretz" (and the earth) which is supposed to connect Heaven and Earth using the letter Vav from "Ve'et Haaretz" this is the work of the Tzadik who is placed on Earth to connect Heaven and Earth, and this is the work of Yisrael. Yisrael (541) and 703 are similar in many geometrical aspects (Oren Evron).

וְאַתֶּ֧ם תִּֽהְיוּ־לִ֛י מַמְלֶ֥כֶת כֹּֽהֲנִ֖ים וְג֣וֹי קָד֑וֹשׁ - "you shall be to Me a kingdom of priests and a holy nation" - Exodus 19:6
=1998

וְעָ֥שׂוּ לִ֖י מִקְדָּ֑שׁ וְשָֽׁכַנְתִּ֖י בְּתוֹכָֽם - "they shall make Me a sanctuary and I shall dwell in their midst" - Exodus 25:8
=2701 (Gadol+letters)

בני ישראל = 1998 (Triangle Gematria)

שבת - Sabbath = 703 (w/kollel)

Yet, another hint that truth is the central pillar of the world is in the middle word of the verse - את which spells the first and last letters of "truth".

Center Letters form "Truth"
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
		ם	את
אמת Truth

As before the word Gematrias of the first verse are:

Word Gematrias of First Verse
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
913	203	86	401	395	407	296

The middle word את has Gematria of 401. Of the 7 word gematrias, 401 is the only prime number.

The prime factors of the 7 numbers are:

913	=	11×83
203	=	7×29
86	=	2×43
401	=	Prime
395	=	5×79
407	=	11×37
296	=	2×2×2×37

The sum of the prime factors to the right of 401 are:
11+83+7+29+2+43=175

The sum of the prime factors to the left of 401 are:
5+79+11+37+2+2+2+37=175 (discovered by Leo Tavares)

Thus, in this sense the verse is STURDILY balanced around the center word את which has the first and last letters of "truth". There is lots more to say on this 401 prime and the horrendous STURDINESS around its balance of prime factors, as we'll see in the section "Central Prime", be'H.

"The perfect Tzadik is any man for whom it is enough to realize, even one time, that something is truth and already his heart does not sway right or left from it - already he will not sway from this path. For he is a strong and mighty pillar to cleave to the truth and no wind in the world can budge him from it. Fortunate is he who makes himself into a strong pillar in this world to walk after G-d. On him it is written (Mishlei/Proverbs 10:25): 'The Tzadik is the foundation of the world'" (talk by R.Chaim Cohen, the Chalban)

Genesis 1:1 contains 7 words. These 7 words can be combined into 2⁷-1 = 127 unique combinations.

Of all these 127 word combinations, only one of them has a Gematria with a factor of 441="Truth".

This word combination is א-להים את השמים - the middle 3 words of the verse.

Word Gematrias of First Verse
בְּרֵאשִׁ֖ית	בָּרָ֣א	אֱ-לֹהִ֑ים	אֵ֥ת	הַשָּׁמַ֖יִם	וְאֵ֥ת	הָאָֽרֶץ
		middle 3 words

א-להים את השמים = 882 = 441×2 = 441+441.
א-להים את השמים = 36 = 6×6 (Gematria Ketana).

Another hint that "truth" is the middle pillar of the world.

Primary Split in Verse

בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם

וְאֵ֥ת הָאָֽרֶץ

Total=2701

more interesting facts on 6 - the number of "Yesod"
As before, "Truth" = 441 (Standard Gematria) = 21².
21 is the 6th triangle number - 1+2+3+4+5+6=21.
6² = 36 (Ordinal Gematria of "Truth")
6, 6², 66, 666 are all triangular numbers.
The Zohar calls 6 - Ot Kashut (the letter of truth)
The 6th Torah portion (Aliyah) corresponds to Yesod and is considered the most important one.

6 is a number full of symmetries.
6 is defined as a "perfect number" since it is the sum of its divisors.
Namely it is divisible by 1,2,3 and 1+2+3=6
Another perfection: 1×2×3=6

The 6th Hebrew letter is Vuv which represents a connecting line - the job of the Tzadik (righteous) is to connect the physical with the spiritual. This is the essence of Judaism.

Interestingly, the first time "Vuv" appears at the head of a word in the Torah is in Genesis 1:1 "the Heavens AND (Vuv) the Earth". This teaches on the essence of the "Vuv" which represents connecting heaven and earth, i.e. the spiritual with the physical - this is man's job.

The Hebrew word for 6 is שש. The two "shins" consists of 6 Vuvs, a hint to 6×6=36. Six also represents the 6 orders of the Mishna (oral torah) while 10 represents the 10 commandments (the written torah). Through studying and fulfilling the Torah one connects the physical with the spiritual.

The Milui (letter expansion) of Vav is:וו (12) or ואו (13).

Mathematically:
12×12 = 144 and 21×21 = 441 (mirror symmetry in 12/21 and 144/441)
13×13 = 169 and 31×31 = 961 (mirror symmetry in 13/31 and 169/961)

This mirror symmetry is unique to 12 and 13

6 also represents the physical world as we will see (section "6 days and Sabbath"). There are 6 weekdays (time) and 6 directions of space from a center point - up, down, east, west, north.

The opening word Bereisheit (913) is expounded "Barah Sheit" - "He created 6" (Tikunei Zohar, Ohr Yakar) which refers to the group of 6 Sefirot culminating in Yesod used to create the world.
This concept is mathematically connected in Bereisheit×6 = 913×6 = 5478 = the Gematria of the letter expansion^[2] of Genesis 1:1. There is much to discuss on this.

Last but not least, the 6-pointed star (Magen David) represents Yisrael.

>> Next: Geometric Properties

Footnotes

[1] 2nd Lifnei goes to the root, while the "Sofei Teivot" (end letters) is Ohr Chozer, "returning light" (like light that is reflected from a mirror, it is the end product of the light that went to the mirror to begin with). heard from Oren Evron.

[2] Bereisheit×6 = 913×6 = 5478 = the Gematria of the letter expansion (Milui) of Genesis 1:1. Here is the map for this expansion.

א	ב	ג	ד	ה	ו	ז	ח	ט	י	כ
אלף	בית	גימל	דלת	הה	וו	זין	חית	טית	יוד	כף
111	412	83	434	10	12	67	418	419	20	100

ל	מ	נ	ס	ע	פ	צ	ק	ר	ש	ת
למד	מם	נון	סמך	עין	פה	צדי	קוף	ריש	שין	תו
74	80	106	120	130	85	104	186	510	360	406

Interestingly, 5478 first appears in Pi at the 1406th index. 1406 = 2 × 19 × 37 = Beit × Chochmah Ketana × Chochmah Ordinal = Beit × 703!

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