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From: Archimedes Plutonium on 8 Jul 2010 01:19

I apologize for being a bit of away from my thread of this 4th edition
book writing. But
the absence sort of rekindled my desire to nail down this derivation
of the speed of
light, even though I was on the missing mass chapter, my interest
rekindled on
the speed of light.

I left off with this post:

--- quoting June post ---
sci.physics, sci.astro, sci.math
Jun 28, 1:01 am
Date: Jun 28, 2010 2:01 AM
Author: plutonium.archimedes(a)gmail.com
Subject: deriving speed of light out of raw pure math Chapt 19 #207;
ATOM
TOTALITY


http://en.wikipedia.org/wiki/Pseudosphere
http://en.wikipedia.org/wiki/Tractrix


Now if you look at those two figures from Wikipedia of Pseudosphere
and Tractrix
that I have to retrieve these numbers:


60,000 x 60,000/ 12,000 = 300,000


50,000 x 50,000 / 8,300 = 300,000


40,000 x 40,000/ 5,300 = 300,000


30,000 x 30,000/ 3,000 = 300,000


20,000 x 20,000 / 1,300 = 300,000


10,000 x 10,000 / 330 = 300,000


So what that means is I need a successive circumference of the
pseudosphere poles to be 330, 1300, 3000, 5300, 8300, 12000, . .


What that means is the representative pseudosphere nested inside
the sphere must have its poles come popping out of the sphere and
go a distance further. Now whether that distance further is where
the
surface area of the pseudosphere matches the surface area of the
enclosing sphere is a question. I hope it does.
--- end quoting June post ---

That construction is reassuring because it elliptic geometry as
distance and makes
hyperbolic geometry as purely time linked to distance.

So what I am imagining is that the pseudosphere is the time element
whereas the sphere
that encloses the pseudosphere inside is the distance element. And the
distance is going
to be for example Earth-sphere of 40,000 km strips and 40,000 of these
strips. So the
speed of light is the distance light travels of 40,000 km x 40,000.
And the time it takes for
a light wave to travel that 1,600,000,000 km is 5,300 seconds. So
where do I get 5,300
from the pseudosphere nested inside the sphere? I believe the 5,300 is
where the pseudosphere surface area equals the sphere surface area and
thus the poles of the pseudosphere come popping out of the sphere and
extend quite a distance further in order
that the surface areas match. Where the surface areas match is where
the circumference
of each of the pseudosphere poles is 5,300/2 = 2,650.

Now that is not thoroughly satisfying to me as yet because I fail to
see why the circumference
of these pseudosphere poles relates to the speed of light constructing
the sphere itself.

I vision that the speed of light is such that it constructs or builds
the proton or electron or
the atom by racing along these strips to form the proton or electron
or atom. If the time
element is the pseudosphere defect of its two poles is unsatisfying to
me, because I do not
like to see a "defect" as the basis for time.

I would have much prefered that something else of the pseudosphere
delivered the 5,300
such as the distance the line on the surface would go around
completely in one revolution on the pseudosphere.
So that while the speed of light is constructing the sphere surface,
that the pseudosphere
is how much time it takes. But of course the revolution is halted by
the messy poles.

However, this causes me to think that perhaps the only rightful
pseudosphere to nest inside
the sphere whose circumference is 40,000, is a pseudosphere that is
modified so that its
poles are points and thus its largest circle is that of 5,300
circumference.

What I am doing is pitting the sphere against the pseudosphere, where
the sphere is distance
and the pseudosphere is time. And the absence from this derivation may
have reinvigorated
my quest.


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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