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From: Archimedes Plutonium on 11 Apr 2010 16:14
Alright, I am pretty sure I received success on this quest of deriving
the speed of light
out of pure math. I take care of the units by allowing the units to
determine the width
of the curves involved. So if you want speed of light in miles rather
than meters, then
the width of the meridian and log-spiral is in the units of choice.

Last night I spoke of sort of like a garden hose covering all the
meridians and a garden
hose to cover the golden-ratio logarithmic spiral and that the
meridian distance versus
the log spiral distance would be on the order of 10^-44 versus 10^-36,
delivering the
speed of light.

However, to make this geometry, this new geometry problem more
general, I am going
to use a Packing of the log-spiral to include the Space-Time Continuum
of Special Relativity.
And the speed of light, thus becomes a maximum number for it asks what
can maximally
cover the surface and the interior of a sphere, so that the two curves
of meridian versus
log spiral is totally encapsulated? And the answer is the speed of
light or the
log spiral/ meridian.

So here is the question in Physics or Biology, for it is nice to see a
intersection between
physics and biology. The question in biology would be that given a
cell, or cell nucleus, what
is the maximum geometry into the fitting or encapsulating one curve
versus a second curve
and the answer is that a sphere surface encapsulated by log spiral,
both inside the sphere
surface and on the sphere surface. This is what DNA is performing by
its double helix nature.
And so we can see that the speed of light is behaving in a similar
fashion of maximum geometry encapsulation or packing.

So how do I get for meters/second with either 10^-44 versus 10^-36 (or
the inverses) from
the log-spiral and meridians?

The answer is that if I use a garden hose analogy that I sum the
distance of all the meridians
as garden hoses, sum them and then divide by the garden hose that
represents the log-spiral,
I should have a 10^44 versus 10^36 relationship. If I do not, then I
must prescribe that the
garden hose analogy start at the center of the sphere itself and the
log spiral encapsulate not
only the volume interior of the sphere but also the surface of the
sphere.

The dimension of the garden hose should be the same units as the speed
of light sought for.
So that if I wanted the speed in meters/sec or in parsec/sec or in
centimeters/sec then the
width or some other parameter has to follow in suit.

Now there is one more problem I have not yet followed prescribed is
that I take care of the unit distance by the width of the hose, but I
seem to have not prescribed a solution for the
speed of light if the unit is something other than seconds. But I
think I can keep one of the
two units as fixed without loss of mathematical proof.

So the above is where I cover a new Space Time Continuum. Instead of
the old way of
looking at Special Relativity as a 4D Euclidean Space Time Continuum,
and where that
does not allow for a pure math derivation of the speed of light, here,
with a Broken Symmetry
of Euclidean I am able to derive the speed of light from purely
mathematics, since I have
Elliptic geometry opposing Hyperbolic geometry and the ultimate
concept of the speed of
light thus becomes the question of what geometry can maximally pack a
sphere of Elliptic
by something in Hyperbolic? The answer is a log-spiral for which log
spiral / meridian
= speed of light.

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
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