THINKING CREATION *EX NIHILO*

G.W. Adamson presents an analysis of the extreme and mean ratio right
triangle, here illustrated, as the template for the structure of time, where the powers of
φ are the proportions of the areas of the subdivisions of
the apex when divided as shown at any level:^{1}

However, in the absence of a consideration of the logical underpinning
of the mathematical facts, Adamson seems to vacillate between two different understandings
of the relation of time and the vacuum state. First he says that the apex of the triangle
is the location of Planck time, "the time between 0 and 10^{-43} sec.," "the first moment of creation." At this point, because the
apex is always the "potential to become" and exists in the present and is equal
in magnitude to the present, Adamson is led to assert that the "POTENTIAL TO BECOME
must exist beyond time itself, beyond and transcendental to the 0 point." But later
on he says that "behind time is the apex" and that "'Time'" starts not
at zero but at 10^{-43}
Sec.," and that between zero and the first instant of time is the vacuum state (=
consciousness itself or being in itself [i. e., the potential to become, but not yet
"something"]) which potential to become is the apex.

Now, while the vacuum state,"'something' between zero & the
first instant of time," is "transcendental to past, present, and future,"
it cannot be "beyond and transcendental" to the "first moment of
creation," i. e., to the *first* "present," for the reason that such
a being "beyond" presupposes just the differentiated temporality -- past,
present, and future -- which in turn presupposes the "first moment." It seems
Adamson is led to project the potential to become back beyond the zero point because he
has not distinguished the *first* instant of time from a "present" which
has a "past." But the vicious circle or infinite regress or what might be called
the fallacy of transposed temporality -- projecting time out from within time -- is
eliminated if the vacuum state is *simply* the "first instant of time" and
that first instant of time -- a first sheer now -- is not confused with such a
"present," that is, with a time which has a past.

In order to make clear that the first now of creation is a time existing
*ex nihilo*, i. e., neither a time which comes into being *out of* nothing (as
if 'nothing' were a potentiality for time, or, indeed, the potentiality of time), nor a
time which is a past time continuous with the act of creation, let the extreme and mean
ratio right triangle of time be reduced to the underlying "logic of the
beginning."^{2} First substitute for the _{
}-values of the triangle
the values of the logic which relate within the triangle in the identical manner as the
mathematical values (i. e., as φ^{-2} +
φ^{-1} = 1, φ^{-1} + 1 =
φ, 1 + φ = φ^{2}, . . ., so 0
= 1,
1 = 0, 1 0 =
, . . . [the logical corresponds to the mathematical in this further way
(where φ^{0} has the logical value I[dentity], and
takes the place of the signs of division and multiplication as
required): φ^{-2} = (φ^{2} ×
φ^{0})^{-1} = 1
I = 0,
φ^{-1} = (φ^{1} ×
φ^{0})^{-1} = 1
0I = , 1 =
(φ^{1} × φ^{-1})^{1} = 1
0 = 1,
φ = (φ^{0} × φ^{1})^{1} = 1
I = 0,
φ^{2} = (φ^{0} ×
φ^{2})^{1} = 1
I0 = ,
φ^{3} = (φ^{1} ×
φ^{2})^{1} = 1
0 = 1,
φ^{4} = (φ^{1} ×
φ^{3})^{1} = 1
01 = 0, φ^{5} =
(φ^{2} × φ^{3})^{1} = 1
1 = ,
φ^{6} = (φ^{2} ×
φ^{4})^{1} = 1
0 = 1,
φ^{7} = (φ^{3} ×
φ^{4})^{1} = 1
10 = 0, φ^{8} =
(φ^{3} × φ^{5})^{1} = 1
1 = ,
φ^{9} = (φ^{4} ×
φ^{5})^{1} = 1
0 = 1, . . .]), as follows (the
logarithmic spiral centered on the diagonal is shown for comparison):^{3}

Let this triangle of time represent the latest state of the universe.
Then let the successive contractions of the apex, 0 > > 1 >
0 > , with the corresponding increases in the number of
differentiated fields, represent the evolution through time from the earliest state of the
universe at which stage there is nothing of time but the apex 0, the beginning, the first
instant of time indifferently the potential to become. Then inscribe this series within
the structure of the 'cornerstone',^{4} assigning the elements of the series to their places within the 'essence' of the
logical lattice^{5} in accord with the logical value of the respective apices, as follows:

Here then the logical cornerstone is the template of the creation. The
sequence from the first now of time which is indifferently the "potential to
become" to the last "present" of the universe is inscribed in the sequence
of the logical essence (here in the shape of the golden rectangle). This
inscription makes visible the fact that although the *internal* structure of time is
logically continuous -- starting with the first instant of time (lower left 0) and
ascending to the differentiation of "potential to become," "past," and
"present" (middle left ), thence proceeding to the stage in
which the "future" is additionally differentiated (central 1), which stage is
the direct logical product of the two preceding states of the universe (0 = 1) just as the next succeeding stage (middle right 0) is the logical
product of its two preceding states (1 = 0) and the last stage (upper
right ) is likewise a direct logical product (10 =
) -- nevertheless the whole of time is *discontinuously continuous*
with what precedes and follows it, with the sequence in which it is inscribed, that is, *lower
right* 1 and *lower middle* logically produce the *first*
instant of time, the *beginning*, indifferently the "potential to become"
(1 = 0), but the second of the two (lower middle
)
preceding the first instant of time (0) cannot *in the same way *(directly, i. e., *non-deductively*)
be taken together with that first now (0) to produce the second stage of time (), just as the last stage () together with the next
to last (0) does not directly produce the *upper middle* 0, although the *upper
left* 1 is directly the product of the latter and the last stage of time, the *end*
(0 =1).

The thinking now occurring for the first time in history provides a
framework in which it can be immediately seen that the creation of the world is not a
matter of understanding differentiated from faith or of faith beyond understanding, nor
indeed a matter of "subordinating" "any Personal Deity" to a
"God" who is "the ONE LAW."^{6} The
actual situation (now able to be logically and concisely articulated for the first time)
is considerably more subtle, but nonetheless perfectly clear and precise. The essence of
the above logical inscription of created time is 1 [0 . . .
10 . . . ] 0 1, where Father (lower right 1) and
Spirit (lower middle ) create the Beginning of Time (lower left 0 =
middle left central 1
middle right 0 upper right
) in the form of the Son (0), that is, 1 = [0], but
the Son beyond Time (upper middle 0) together with the One God (upper left 1) creates the
End of Time (upper right ), and is together with Father (lower right
1) and Spirit (lower middle ) the One God (upper left 1), that is, 1
= 0 [ . . . 01 . . . 0]
1.
Created time is inscribed in the life of the Trinity in such a way that the Trinity is the
Alpha and Omega of Time and, as such (1 = [0 . . .], [. . .
]0 = 1), is continuous with time precisely in its discontinuity with the
form of temporality which is nevertheless Its image ([0 . . .
10 . .
. ] = 1) as doubly reflecting, in the doubly inverted temporal Unity
(1), Father (1) and Creator (1).

Thus the newly universal logic definitively explicates the verse at the
beginning of John's Gospel,^{7} 'IN THE BEGINNING WAS THE WORD
(0): [THE WORD WAS] WITH GOD ([0 1 =]
) AND
[THE WORD (IDENTICALLY THE WORD WITH GOD) WAS] GOD ([0 (0
1 =) =] 1)', as follows: the limit to the
infinite expansion of the universe is the Absolute First Now, but the Absolute First Now
has no Past, and Potentiality ("Potential to Become") is differentiated from the
Absolute First Now only as Past, therefore Undifferentiated or Pure Potentiality (the
Quantum Vacuum) is the Absolute First Now (the Beginning of Time), effectively the
"One Universal Law" which is the limit to the infinite expansion of the
universe.

The Undifferentiated End of Time is the Omnipotent God (upper left 1)
which together with the Omnipotent Understanding (0) creates the Differentiated
Potentiality of Time (10 = = 010), Time (010 = 1) differentiated from the Beginning of Time
(0), from the "One Universal Law" which is the first instant of time, as the End
of Time (10 = ). This Omnipotent Understanding (0) *is* the
Omnipotent God (upper left 1) and, *with* the Omnipotent God (0
1), is at once the Spirit (lower middle
) prior
to the "One Universal Law" (lower left 0) which is the Beginning of Time and the
Spirit (upper right ) which is the End of Time. The Form of the
Undifferentiated Potentiality or Undifferentiated Beginning of Time is the Omnipotent
Father (lower right 1) and, *with* the Omnipotent Spirit (
1), creates the Completely Differentiated Omnipotent Understanding (0
[= 1]). The temporality of the universe
therefore recapitulates the intelligible fact of its creation, recapitulates its
intelligible inscription within the life of the Trinity as creation *ex nihilo.*

But the cornerstone as template of creation is also the entrance to the
interior structure of the Trinity. The sequence of the stages from beginning to end of
universal time inscribed within the cornerstone, 0, , 1, 0,
, when read as overlapping sets of three, (0[(1)0]), recapitulates the three rows of the cornerstone, 01,
10,
10.^{8} The analysis of the set of five
logical digits into three overlapping sets of three is the perfect analogue of the
procedure used to predict rationally the number of edge-overlapping triangles needed to
rigidly brace any polygon or polyhedron.^{9} The
regular pentagon is the five-vertex polygon whose diagonal is to its side as φ : 1. The square-based pyramid the area of whose triangular faces is
each .5 times the area of the base of the pyramid is the five-vertex polyhedron the sum of
one of whose ascending edges and .5 times the base of one of whose triangular faces is to
the triangular height of each of its faces as φ : 1.^{10} 5^{.5} is the ascending edge
of the smallest square-based pyramid the area of each of whose faces is a whole number not
1 and .5 times the area of the base of the pyramid. The base of this pyramid is the
smallest whole number square other than 1 in the infinite structure of existence, the 4-square.^{11} In the case of this pyramid the ratio mentioned is the defining ratio of
φ, .5(5^{.5} + 1).
The cornerstone with the four digits 1, 0, , 1 -- those assigned to
the Divine Essence (1) and the Three Persons (0, , 1) -- outside the
inscribed temporal 5-digit sequence, 0, , 1, 0,
,
the cornerstone as above, viz., 1, 0, [, 0, 1,
,
0], , 1, is the perfect analogue of this foundational square-based
pyramid *qua* rationally rigid structure. Let there be, then, a pyramid whose
vertices are 0, , 1, 0, and . Applying the
formula, *T = V* - 2 = 5 - 2 = 3,^{12} the base of this pyramid is
composed of two of the required three edge-overlapping triangles (EOT's) in the pyramid,
here 0 (Blue) and (Yellow), while the third EOT is one face of the pyramid, here 1 (Green), which together with the two EOT's constituting the square
base, braces its opposite face, here 1 (Gray), which last is
by analysis the underlying triangle (UT) here corresponding to the Divine Essence, while
the two remaining faces of the pyramid are empty triangles (ET's), purely the result of
the bracing of the UT (1), by the three EOT's (0, , 1):

The
areas of the four triangles, 1, 0,
, and 1, are identical. Since the base triangles 0 and
are halves of the square
base *qua* area, let the area of each of the four triangles be designated .5.^{13} But
since the two triangles 0 and are also halves of the square base *qua*
form, i. e., as elements of the base of the pyramid edge-overlapping with respect to each
other, while the two face triangles designated 1 are differently formed, i.e., as faces of
the pyramid not edge-overlapping with respect to each other, let the former be
additionally designated .5 *qua* form, but let the latter be designated 1 *qua*
form.^{14} The forms and areas thus designated, the formal addition of the 3 EOT's, 0 (Blue; Son),
(Yellow;
Spirit), and 1 (Green; Father), .5 + .5 + 1, = 2, which is
identically the area addition of the 3 EOT's and the 1 UT, 1 (Gray;
Divine Essence), .5 + .5 + .5 + .5 = 2. The Three Persons of the Trinity, *qua*
distinction of Persons (EOT's), are neither more nor less than the Three Persons of the
Trinity, *qua* indistinction of Essence (Equal Areas), taken together with the Divine
Essence (UT). But the Three Persons of the Trinity, *qua* distinction of Persons,
cannot be taken together with the Divine Essence (EOT UT), that
is, there is no distinction of Essence. The area addition of the Three Persons, the Three
Persons *qua* indistinction of Essence, but taken apart from the Divine Essence, .5 +
.5 + .5, = 1.5, which is identically the area addition of 0 (Blue;
Son) and (Yellow; Spirit) taken
together with 1 (Gray; Divine Essence), .5 + .5 + .5 = 1.5.
The union of Son and Spirit with the Father in the indistinction of Essence apart from the
Divine Essence is identically the union of Son and Spirit with the Divine Essence apart
from the Father in the indistinction of Essence, indeed, it is the union of any two
Persons with the Divine Essence apart from the third in the indistinction of Essence, at
once the union of the Father, *qua* distinction of Person, and either of the other
two Persons, either *qua* distinction of Person or *qua* indistinction of
Essence, 1 + .5 = 1.5. For the Father, *qua* distinction of Person, to be united with
both the Son and the Spirit in any way whatsoever, i. e., whether *qua* Persons or *qua*
Essence, is neither more nor less than the Three Persons of the Trinity, *qua*
indistinction of Essence, taken together with the Divine Essence, .5 + .5 + 1 = .5 + .5 +
.5 + .5 = 2.^{15}

The cornerstone which is creation *ex nihilo*
inscribed within the Unity of the Trinity, turned inside out is the pyramid which, *qua*
rationally organized rigid structure, is the perfect analogue of the essential
relations of that Living Unity which is the Trinity. When attention is paid to
the specific dimensions of the foundational pyramid formally analyzed in the
preceding -- those which exist in such a pyramid as described whose base is the
4-square of the infinite structure of existence and which perfectly embody the
defining ratio of φ, .5(5^{.5}
+ 1) -- it will be seen that the shortest path about the pyramid, beginning and
ending at its apex, multiplied by the length of the diagonal of its base = 82944^{.25}. Since the shortest path about the entire pyramid, beginning and ending at its
apex, lies in perpendicular directions, and since the diagonal of the base also has its
perpendicular counterpart, those lengths may be multiplied into 82944^{.25} to give 82944^{.5}. That
pyramid embodying _{}-proportionality, marked with these
ordinarily unmarked diagonals and shortest paths about the pyramid (which lengths are the
factors of the square root of the unique 82944), when projected from directly above the
apex onto the plane, is the limit of the Cartesian coordinate system whose absolute value
is Unity:

in significant agreement with the fact that the integral products (the
squares of the products of the mathematical values of the odd-numbered letters^{16}) of the Hebrew terms,
נקדת האפס של תנופה_{
}('dead
center'/'point zero of energy'), קוד קואורדינטות ('coordinate code'), and
קואורדינטות קויות ('line [Cartesian] coordinates'), are respectively, 8.2944E22,
8.2944E22, and 8.2944E28, whose shared base factor is identically that of
אלהי אברהם אלהי יעחק ואלהי יעקב_{
}('the God of Abraham, the God of Isaac, and the God of Jacob'),
integral product 8.2944E26, of
יהוה מלך־ישׂראל ('Yahweh King of
Israel'), integral product 8.2944E18, of Ιησους
Χριστός ('Jesus
Christ'), integral product 8.2944E28, and, finally, of לבן כה
אמר אדני יהוה הנני יסד בציון אבן אבן בחן פנת יקרת**
**([Is. 28:16] 'So the Lord Yahweh says this, "Now I shall lay a stone in Zion, a
granite stone, a precious corner-stone"'), integral product 8.2944E60.^{17}

**Notes
**

^{1} G.W. Adamson, "The Golden Right Triangle and the Arrow of Time"
(San Diego, 1993).

^{2} D.G. Leahy, *Foundation*: *Matter the Body Itself* (Albany,
1996), Section III.1.

^{3} Ibid., and Leahy, *Foundation*, Section III.2.
For the logarithmic spiral see, on this web,
The Golden Bowls & the
Logarithmic Spiral.

^{4} Ibid.

^{5} Ibid.

^{6} Cf. Leahy*, Foundation*, Appendix, "The *De Trinitate* of
Augustine and the Logic," which demonstrates the perfect correspondence between the
categorically new logic of the beginning and the Trinitarian relationships in Augustine's
text.

^{7} Cf. Jn. 1:1.

^{8} The writer is indebted to C. Skliris for calling his attention to this
fact.

^{9} Cf. Leahy, *Foundation*, Section III.3.

^{10} The ratio of the diagonal of the base of this pyramid to the vertical height of
its apex, 8^{.5} : 3^{.5}, =
^{.5}, the square
root of the rational product of the minimum proportion, 4 : 1 :: 2 : 3. Cf. Leahy, *Foundation*,
Sections III.1 and III.5.

^{11} Cf. Leahy, *Foundation*, Section IV.2.

^{12} Cf. Leahy, *Foundation*, Section III.3.

^{13}
In the case where the base of this pyramid is 1^{2}, the areas are
literally each .5,
its face height 1,
its altitude .866025404, and its slanted edge [(φ^{2}
+ 1)/2]/[(5^{1/2} + 1)/2] = [(φ^{2} +
1)/2]/φ = 1.118033989.

^{14} This formal distinction corresponds to the arithmetic values of the logical
digits, [0 + = 1] = [.5 + .5 = 1]. Cf. Leahy, *Foundation*,
Sections III.1, III.5, and IV.2.

^{15} The ratio of the Three Persons, when taken together *qua* distinction of
Persons -- perforce not taken together with the Divine Essence -- (.5 + .5 + 1 = 2), or of
its equivalent, the Three Persons taken together *qua* indistinction of Essence with
the Divine Essence (.5 + .5 + .5 + .5 = 2), to the Three Persons taken together *qua*
indistinction of Essence but apart from the Divine Essence (.5 + .5 + .5 = 1.5), or to any
of the equivalent relations, is 2/1.5 = .
But
is the analytical value of the root proportion of the cross ratio, the elliptical
proportion of the constant ratio of the otherwise indefinite lengths of the line in
projective geometry. Cf. Leahy, *Foundation*, Section III.3, Part 1.
The ratios
, 1.5, and 2, are precisely the values of the
proportions developed in the conic-based analysis of the infinitely flat structure of the
universe. The apparent coincidence is eliminated when one notes that in terms of the
completely logical geometry, where the square = 0000 = the circle = 0000 (cf. ibid.), the
square-based pyramid is the identical figure to the cone.

^{
16 } Cf. Leahy, *Foundation*, p. 357, n. 13, et passim. For 'integral
product', see, on this web, **
Transdecimal Calculation of
Number Identity: A Note on Integral
Product and Related Terms**.