A Comparison of Tetragammaton + The Square Root of -1 v1.0 (to be expanded upon later) by

            A Comparison of Tetragammaton & The Square Root of -1
                     v1.0 (to be expanded upon later)

                        by Vangelis, Winter of '92

                            VirtualNET 122@2093
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The square root of -1, a so-called irrational (impossible) number,
when raised to the 1st, 2nd, 3rd, and 4th power, exhibits a cyclic
nature which bears a striking resemblance to Tetragrammaton.

YHVH : Tetragrammaton, the 4-Lettered Name of "God", the primary
       expression of the four elemental forces in the universe, upon
       which all conventional reality is built.

\/-1^[1..4]) : The square root of -1 raised to the 1st through 4th
       powers, creating the 4 primary components of the entire number
       system (real and irrational, in both positive and negative
       aspects).


When broken down, they become -

Y = Yod         \/-1^1 = \/-1
H = Heh1        \/-1^2 = -1
V = Vau         \/-1^3 = -\/-1
H = Heh2        \/-1^4 = 1


1) As YHVH, the 4 elemental Forces, repeat their pattern cyclicly on
down through the planes in the spiral of all manifestation, so too
does the pattern of the powers of \/-1 repeat itself on up through the
exponents (\/-1^1 = \/-1^5 = \/-1, \/-1^2 = \/-1^6 = -1, etc).



2) As the 4 Forces are various combinations of 2 Principles, each in 1
of 2 polarities..

(First Knowledge Lecture, Book One - Golden Dawn, pg 50<99>)
Yod  = Heat & Dryness (Fire)
Heh1 = Cold & Moisture (Water)
Vau  = Heat & Moisture (Air)
Heh2 = Cold & Dryness (Earth)

.. so too does the cycle of the powers of the square root of -1
contain 2 factors, expressed in 2 polarities..

\/-1  = positive \/-1
-1    = negative 1
-\/-1 = negative \/-1
1     = positive 1



3) As all manifestations of Fire (Yod) are built up from the single
"building block" of the elemental force of Fire itself, so do all
positive irrationals numbers consist of multiples of \/-1.

As all manifestations of Water (Heh1) are comprised of a quantity of
the elemental force of Water, so do all negative real numbers consist
of multiples of -1.

As all manifestations of Air (Vau) are comprised of a quantity of the
elemental force of Air, so do all negative irrational numbers consist
of multiples of -\/-1.

As all manifestations of Earth (Heh2) are comprised of a quantity of
the elemental force of Earth, so do all positive real numbers consist
of multiples of 1.

Herein do we have the Four Fources (2 forces with 2 aspects each) and
the four basic values (2 values with 2 aspects each) upon which all
existance and all quantities are founded.



4) As Yod (1st Force - Heat & Dryness) is to..

..Yod (1st Force - Heat & Dryness), so \/-1^1 (positive \/-1) is to
\/-1^1 (positive \/-1).  Both factors are identical.

..Heh1 (2nd Force - Cold & Moisture), so \/-1^1 (positive \/-1) is to
\/-1^2 (negative 1).  Both factors are opposed.

..Vau (3rd Force - Heat & Moisture), so \/-1^1 (positive \/-1) is to
\/-1^3 (negative \/-1). One factor is opposed, the other is identical.

..Heh2 (4th Force - Cold & Dryness), so \/-1^1 (positive \/-1) is to
\/-1^4 (positive 1). One factor is identical, the other is opposed.


As Heh1 (2nd Force - Cold & Moisture) is to..

..Yod (1st Force - Heat & Dryness), so \/-1^2 (negative 1) is to
\/-1^1 (positive \/-1). Both factors are opposed.

..Heh1 (2nd Force - Cold & Moisture), so \/-1^2 (negative 1) is to
\/-1^2 (negative 1). Both factors are identical.

..Vau (3rd Force - Heat & Moisture), so \/-1^2 (negative 1) is to
\/-1^3 (negative \/-1). One factor is identical, the other is opposed.

..Heh2 (4th Force - Cold & Dryness), so \/-1^2 (negative 1) is to
\/-1^4 (positive 1). One factor is opposed, the other is identical.

.. and so on, for all 16 possible combinations (you should be able to
work out the others for yourself).  Every force relates to every other
force in the same way, exhibiting a single common relationship, and
each corrsponding value relates to every other corresponding value in
the same way.  Additionally, each force relates to every force
in a unique way exclusive of the other forces.  Accordingly, each
value relates to every value in unique way, exclusive of the other values.



There is probably a wealth of significance to be discovered here.  I
will most likely develop this idea (and this file) further, in time.
If anyone has their own bits of insight to offer on this subject,
please suggest them to me.

 /~~-.      .-~~-.
 \_   \    /      `~~-
   `~- \  /
        \/angelis

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