On Jan 9, 11:36Â*pm, Archimedes Plutonium
wrote:
III. Mathematical and logic beauty support
Â*Â*(19) "pi" and "e" and "i" explained; inverse fine structure
Â*Â*constant, and proton to electron mass ratio, speed of light, finite
vs. infinite, all
Â*Â*linked and explained

When I departed from finishing this edition several months ago, it was
because
I was stuck on finding the border between Finite versus Infinite. As
time progressed
I found the answer in Circumferencing the Perimeter and the reason it
works is that
at 10^603 the pi digits have three zeroes in a row, which means that a
finite perimeter is
not matched with a finite circumference which happens to take place
for the first time
at 10^603. So that is the borderline and above is infinity, below is
finiteness.

Now Physics itself had whispers or hints that Infinity starts in this
region by the number
of nucleons possible in atomic physics where the maximum is element
120 which has
about 300 nucleons and so it has 300! possible energy arrangements
which is 10^614

253! = 5.1734609926400789218043308997295e+499

300! = 3.0605751221644063603537046129727e+614

19^(22x22) = 8.2554901045277384397095530071882e+618

22^(22x22) = 5.4022853245302743024619692001681e+649

But now I am trying to get other links. For example the Harmonic
Series of

1 + 1/2 + 1/3 + 1/4 + . . . .

has a value of 94 when the 10^40 term is reached. This is reminiscent
of the coupling
force strength between Coulomb and gravity and the 94 is obviously the
number of
protons in plutonium atom.

The number 10^603 in Harmonic Series is approximately 1390 and I have
not found any
physics link as of yet. But I have found another purely mathematical
link with Regular Polyhedra
of the icosahedron with its 20 faces and its angles of 60 degrees in a
face angle and the
dodecahedron of its 12 faces of pentagons and its angles of 72
degrees. So we have 20x60d
for a total of 1200degrees and then we have 20x72d for a total of 1440
degrees and 1390 is
in between. So here we have a geometry way of finding the border
between finite and infinity,
and to construct a regular polyhedra with 20 faces and angles of 72
degrees is impossible, but that is what the border looks like at
infinity.

Now I think I have another alternative geometry method of finding that
borderline between Finite versus Infinite involving the pseudosphere.

Archimedes Plutonium 
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies

same as the relativity of the speed of light, likewise max and min
dimensions in the universe.

It's all related to the observer, thus the smallest unit "observable"
is a hyperbolic function, and thus infinity.