EPITOME OR FOOD FOR THOUGHT

Where (*x*/6)^{4}/*x*^{3}
and 8*x*^{3}/*x*^{4} are the two ratios whose
relation defines the rational constitution of any cube, __
0__,
U, and 1 the elements of a dyadic ternary logic, and 0,
,
and 1 the elements of real trinary logic,

__0__U
= 0 =
1 =
(*x*/6)^{4}/*x*^{3} × 8*x*^{3}/*x*^{4}
= 162^{−1},

^{ }

true for both logics and all cubes.

00 =
=
11 =
1 =
[(*x*/6)^{4}/*x*^{3}]^{2} = (8*x*^{3}/*x*^{4})^{2}
= [(8*x*^{1}/*x*^{2})^{2 }= (8*x*^{2}/*x*^{3})^{2 }
= (8*x*^{4}/*x*^{5})^{2} = . . .]
= 162^{−1},

^{ }

uniquely true for real trinary logic and the absolute dead center cube.1

________________________

Compare the Poynting vector rate of change of energy per unit areaSwhen a plane electromagnetic wave passes through a volume element:2

likewise the intensity of the waveIdefined as the time average ofS:3

where
the unique properties of real trinary logic
and the absolute dead center cube can be seen to underlie the Poynting
vector dynamic structure *E*^{2} = *B*^{2}
= *EB*:

00 =
=
11
=^{ }[(*x*/6)^{4}/*x*^{3}]^{2}
= (8*x*^{3}/*x*^{4})^{2}
= [(8*x*^{1}/*x*^{2})^{2 }= (8*x*^{2}/*x*^{3})^{2 }
= (8*x*^{4}/*x*^{5})^{2} = . . .] = (*x*/6)^{4}/*x*^{3
}
×
8*x*^{3}/*x*^{4}.

In the case of the absolute dead center cube
[(*x*/6)^{4}/*x*^{3}]^{−1} = (8*x*^{3}/*x*^{4})^{−1}
= the Volume/Surface ratio of the absolute dead center hypercube.4 Where there is a parallel-plate
charging capacitor with circular plates of radius *
R *
with a
circular path between the plates whose radius *r <
R,*5*
*

the Poynting vector is

and where* R* =*
*
√10368 mm with *R*^{4} = 1.07495424e8 mm^{4}, the
Volume/Surface ratio of *R*^{4} is

[(*R*/6)^{4}/*R*^{3}]^{−1
}
= (8*R*^{3}/*R*^{4})^{−1}.6

________________________

This
unique identity of logical and numerical relations in the case of the operations
of real trinary logic7
and the unique mathematics of the absolute dead center cube8
coincides the agreement of integral product identities in the transdecimal
calculation^{9}
of the respectively relevant Greek and Hebrew terms.

Λόγος καὶ ἀριθμός (‘absolute’ ‘Logos At Once Number’) = 8.2944e22,

` `

נקדת האפס של תנופה (‘absolute’ ‘Dead Center’) = 8.2944e22.^{10}

________________________

In the equation unique to the absolute dead center cube, (*x*/6)^{4}/*x*^{3}
= 8*x*^{3}/*x*^{4} = √162^{−1}, on the left
side of the equation (*x*/6)^{4 }= the unvisualizable 4th dimension
volume 82944, and, on the right side, *x*^{4} = the unvisualizable
4th dimension volume 107495424.

The integral product of the Hebrew for ‘the
volume
will not be visualized', הנפח לא יהיו להיות דמיינו, =
8.2944e28
= the integral product of the Greek for ‘Jesus Christ',
Ιησοῦς Χριστός.^{11}

The integral product of the Hebrew for ‘the volume not able to
be visualized’,
הנפח
לא
המסוגלת
להיות דמיינו,=
1.07495424e36.^{12}

________________________

The circumference of the circle intersecting the
unique (*x*/6)^{4}/*x*^{3} = 8*x*^{3}/*x*^{4}
absolute dead center
cube hyperbola

equals
8π = *G _{μν}*/

**Notes**

` `

1
See, on this web,
Theorem & Proof: The Uniqueness of
the Absolute Dead Center Cube. Cf. D.G. Leahy, *The Cube
Unlike All Others* (CreateSpace, 2010),
Section I.1.
The operation here described uniquely shared by real
trinary logic and the absolute dead center cube at once logically
differentiates the dead body and the living body. Cf. D.G. Leahy, *
Beyond Sovereignty: A New Global Ethics and Morality *(Aurora, 2010),
pp. 63f., n. 14: “What is required [to understand the logic of ‘the body
qua living’] is that the mediated identification be qua actual an
existing root of the whole. The members of the living body qua actual
β
= {{}{00}}
and qua actual reciprocal interrelatedness
γ
= {{01}{01}} and
δ
= {{1}{1}}
are embodied members of the body immediately qua actual the whole and an
existing root of the whole
α
= {{}{00}}
= {{{01}{01}}{{1}{1}}}
= {11} = {1} that is the body. Each embodied member of the living body
qua actual and qua actual reciprocal constitutional interrelatedness is
identically the set of logical elements that are their square roots
α
= {1}.” The integral product of
τό
σῶμα τῆς ζωῆς,
‘the body of life’, = 6.5028096e25 (where 65028096
= 1 × 784 × 82944 the product of the three natural numbers uniquely equal to their
integral products. See, below, n. 4), the rational product =
112.5 (= 1.13^{−1
}× 2^{7}), and the linear product = 5.7802752e23.
5.7802752e23^{.125}
≈ 3.2e5/343 the rational product, the ‘identity’, of
Λόγος
καὶ
ἀριθμός,
‘logos at once number’. So, also, (5.7802752e23^{.125})^{17/37}
[≈ (3.2e5/343)^{17/37}] ≈ *e*^{π}
= (−1)^{-i}. See, below, n. 10.

2 Adapted from S-B. Liao, et al., “Introduction to Electricity and Magnetism”, MIT OpenCourseWare. Online. Available at: http://ocw.mit.edu/courses/physics/8-02sc-physics-ii-electricity-and-magnetism-fall-2010/maxwells-equations/the-displacement-current-and-maxwells-equations/MIT8_02SC_notes26to30.pdf. February 2013. For the occurrence of visible electromagnetic light waves in the early universe, see, on this web, The Light, the Logic, & the Inhomogeneities.

3 Ibid.

4 See, on this web, Measure Beyond Beyond Reach.

5 For the capacitor illustration and the Poynting vector equation following, cf., above, n. 2, S-B. Liao, et al. √10368 is the unit dimension of the edge of the absolute dead center cube (cf., above, n. 1).

6
Where
M = mass, M/T = mass flow rate, M/T^{2} = surface
tension, and M/T^{3} = the Poynting vector, consider the
sequence M, M/T, M/T^{2},^{ }M/T^{3}
where the following is true (M × M/T × M/T^{2})/M/T^{3
}= M^{2}. Note also that where *i*(*x*)
is the integral product of *x*, and *i*(*x*) = *
x*, and *i*[*i*(*x*)/3] = *i*(*x*)/9,
then, uniquely among all natural numbers, *x* = 82944 (cf.
D.G. Leahy, *Foundation: Matter the Body Itself *[Albany,
1996;
eBook, 2009],
Sections III.6 and IV.2, et passim; also,
on this web,
Transdecimal Calculation of Number
Identity: A Note on *Integral Product* & Related Terms).
Then let there be the sequence [*i*(*x*)/9]/*i*[*i*(*x*)/9],
*i*(*x*)/9, *i*(*x*), corresponding by
analogy to the first three members of the stipulated M sequence,
where [*i*(*x*)/9]/*i*[*i*(*x*)/9] =
113.7̅7̅7 = 32^{2} × 9^{−1}
(corresponding to M mass), *i*(*x*)/9 = 9216 = 32^{2} × 9^{1}
(corresponding to M/T mass flow rate), and *i*(*x*) =
82944 = 32^{2} × 9^{2} (corresponding to M/T^{2}
surface tension). The question arises what/where is the 4^{th}
term corresponding to the Poynting vector M/T^{3} in the
stipulated M sequence? The 4^{th} term turns out to be
*i*[*i*(*x*)/9][*i*(*x*)] = 6718464 =
32^{2} ×** **9^{4} (corresponding to the M/T^{3}
Poynting vector), where 6718464 =
(36√2)^{4
}=
*r*^{4} = the inradius
(the radius of the inscribed circle) of the face
of the absolute dead center cube raised to the 4^{th}
power,
neatly corresponding geometrically to the 4^{th} power of the
radius of the charging capacitor circular parallel plates, *R*^{4},
in the Poynting vector equation:

.

Note that the rightness of the analogy
is further demonstrated in the fact that as (M × M/T × M/T^{2})/(M/T^{3})
= M^{2}, so ([*i*(*x*)/9]/*i*[*i*(*x*)/9]
× *i*(*x*)/9 × *i*[*x*])/(*i*[*i*(*x*)/9][*i*(*x*)])
= ([*i*(*x*)/9]/*i*[*i*(*x*)/9])^{2}.
For more on the inradius of the absolute dead center cube, cf.,
below, n. 10; also, on this web,
The Diagonal Logic of the Triple Absolute Dead Center Cube &
Certain Fundamental
Mathematical
& Physical Constants.
Cf., also, on this web,
Absolute Particularity: Beyond the
Problem of Universals.

^{
7}
Cf. Leahy, *Foundation*,
Section III.1, et passim. See also, on this web,
Quantum Gravitational vs. Quantum
Logic: Virtually Left-handed Real Trinary Logic. Cf.,
also, D.G. Leahy, *Faith and Philosophy: The Historical Impact*
(Aldershot and Burlington, 2003), Chapter 7.

^{
8}
Cf., above, note 1, and Leahy, *Foundation*, Section III.5, et
passim.

^{
9}
See, on this web,
Transdecimal Calculation of Number
Identity: A Note on *Integral Product* & Related Terms.

^{
10}
The complete transdecimal results for the two terms are as follows.
Λόγος
καὶ
ἀριθμός:
Integral product = 8.2944e22, Rational product =
3.2e5/343,
Linear product = 8.89056e19. נקדת האפס של
תנופה: Integral product = 8.2944e22, Rational product = 1, Linear
product = 8.2944e22. With respect to the rational product of
Λόγος
καὶ
ἀριθμός,
note that (3.2e5/343)^{17/37}
≈
*e*^{π} = (−1)^{-}* ^{i}*.
Most precisely,

accurate to .037 ppb, where the difference equals precisely

,

where 2880000 = √8.2944e12 the square root of the integral product of
מלה מיד אמצע (‘absolute’ ‘Logos At Once
Mean’).
Also, where
the inradius of the face of the absolute dead center cube =
36√2, the rational product
× the linear product of
Λόγος
καὶ
ἀριθμός
=
(3.2e5/343)
× 8.89056e19 = 3.2e19 × (36√2)^{2 }
(for
more on the role of the inradius of the absolute dead center cube, cf.,
above, n. 6).
See,
also, on this web,
The Diagonal Logic of the Triple Absolute Dead Center Cube & Certain
Fundamental
Mathematical
& Physical Constants
and
Real Trinary Logic, the Imaginary Number *i*, & the Cyclic Series
of Complex Numbers.

^{
11}
See, on this web,
Dali Crucifixion (Corpus Hypercubus);
also
Epidermal Immunity Structure & the Absolute Dead Center
Hypercube Volume/Boundary Ratio,
where it is noted that, compared to the visualizable 8 cubes
constituting the hypercubic surface that is Dali’s cross, the *
Corpus Christi* itself is in the place of the
9^{th} hypercubic element — the unimageable
hypercube volume.
Concerning this 9^{th} hypercubic element Dali said:
"The number nine is identifiable and becomes especially
consubstantial with the body of Christ."

^{
12}
See, on this web,
Measure Beyond Beyond Reach.

^{13}
Cf.
http://en.wikipedia.org/wiki/Einstein_field_equations. See, on
this web,
The
Magnitude of Being.