Riemann was one
of the finest pure mathematicians of his century. ...within his mind
burned the desire to understand the nature of the physical
world... Anticipating relativity and modern cosmology, Riemann understood that in order to grasp the meaning of the physical world, one had to develop a deep understanding of...geometry. Amir D. Aczel [circa 1953 ] God's Equation, 1999 
The general theory of relativity splendidly
justified his (Riemann's) work. In the mathematical apparatus developed from Riemann's address, Einstein found the frame to fit his physical ideas, his cosmology, and cosmogony: and the spirit of Riemann's address was just what physics needed: the metric structure determined by data. Hans Freudenthal [19051990] Dictionary of Scientific Biography, 197090 
I've often wondered
how Einstein could...make such a simple
assumption... the universe is so
simple that we can analyze it in a onedimensional differential equationeverything a function of time...Einstein...was awfully close to the
truththat's the way the universe looks. James Peebles [1935 ] Origins: The Lives and Worlds of Modern Cosmologists, 1990, by A. Lightman and R. Brawer 
Researchers have
hypothesized that Einstein extended his quest to the entire universe
because of an idea of Ernst Mach. ...Mach's law of inertia. ...says that...inertia...is an effect...due to...all other mass in the universe. Amir D. Aczel [circa 1953 ] God's Equation, 1999; and Max Born [18821970] Einstein's Theory of Relativity, 1965 


Unimetric Structural Parts 



Sequences of the Brunardot Series 

0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
... 
Infinity 
1 
0 
1 
1 
2 
3 
5 
8 
13 
21 
34 
... 
Reality 
2 
2 
4 
6 
10 
16 
26 
42 
68 
110 
178 
... 
Universe 
3 
6 
9 
15 
24 
39 
63 
102 
165 
267 
432 
... 
" " 
4 
12 
16 
28 
44 
72 
116 
188 
304 
492 
796 
... 
" " 
5 
20 
25 
45 
70 
115 
185 
300 
485 
785 
1270 
... 
" " 
6 
30 
36 
66 
102 
168 
270 
438 
708 
1146 
1854 
... 
" " 
7 
42 
49 
91 
140 
231 
371 
602 
973 
1575 
2548 
... 
" " 
8 
56 
64 
120 
184 
304 
488 
792 
1280 
2072 
3352 
... 
" " 
... 
... 
... 
... 
... 
... 
... 
... 
... 
... 
... 
... 
... 
The Golden Sequence is an interesting sequence in the manner of a Brunardot Series Sequence beginning with Phi, F. Note that the coefficients, of Phi, F, in the second form of the Golden Sequence, match the "completed" or "revised" Fibonacci series, which generates the sphere of Reality. 

F 
1 
F^{2} 
F^{2 }+1 
2F^{2 }+1 
3F^{2 }+2 
5F^{2 }+3 
8F^{2 }+5 
13F^{2 }+8 
21F^{2 }+13 
34F^{2 }+21 
Golden Sequence 


A Tini Circle
Group contains circles wherein every
circle is tangent to its adjacent circles; and, every curvature (the reciprocal of a circle's
radius,
1/r) is an integer. There is a circle, with a decreasing integer radius, that is tangent to all adjacent circles that continues to the infinitesimal, for every open space between every tangent circle, and within, every tangent circle; that is: 
Within
any group of three mutually tangent integer circles that are within any
circle, there exists no space, to the infinitesimal, that
does not contain an integer radius circle that is tangent to
all of its adjacent group of three mutually tangent circles. The formula, for four mutually tangent circles (where a, b, c, and d represent the circles' curvature), is: 

a^{2} + b^{2} + c^{2} + d^{2} = (a + b + c + d)^{2} / 2 

The curvature is negative or positive depending upon whether the curvature is concave or convex. 
Every integer radius belongs to an array that contains endless sequences and terms; each array is defined by two, and occasionally only one, integer; these defining integers are referred to as: Tini Cirts. Tini Cirts are an acronym for Tangent, Infinite, Integer, Circle Terms. There are at least three Tini Cirts that begin with the integer One, 1, for every other Natural Integer, above Zero, there are more Tini Cirts. 





























There is one Universe.
It is perpetual, in equilibrium;
and, a manifestation of the
Unified Concept; thus;
. . . the Fundamental Postulate.
also,
are a single discipline, Philogic,
which proclaims perpetuity
and the nexus of Life; such is
. . . Conceptualism.
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