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From: Archimedes Plutonium on 14 Apr 2010 16:24
I make it habit for the last post of a book to help remind me of the
parts to
book to elaborate should I write a future edition.

Obviously I did not have the time to do a "volume example of deriving
the speed of light purely out of math geometry, of the interior of a
sphere
with hoses and the surface area with stripes for meridians. I was
satisfied
with the stripes for the log-spiral and the meridians in stripes
derivation
of the speed of light. So in a future edition I should detail the
volume
example.

And it seems as usual that the biggest bugaboo of my math books is the
desire to have the most perfect Elliptic to Hyperbolic examples. For
the Elliptic
I seem to always fall onto the sphere surface, but for the Hyperbolic,
I seem
to have to constantly revert to various examples such as saddle shape
or
pseudosphere or the Poincare disc, or the trumpet music instrument
shape
or the torus shape. So I never seem to be able to have a final one and
only
shape to work with. And recently the interior of a sphere as reverse
concavity
shape is what I have been using with much success. Perhaps the reason
there is
no "One shape fits all purposes" for Hyperbolic geometry is because
quantum
physics duality is this exercise of fitting Elliptic with Hyperbolic.
So that I am
at the heart of quantum mechanics and that I will not succeed in
having
"One shape fits all purposes"

I suppose I could write a whole entire book on what Hyperbolic shapes
to use
in given applications of math or physics.

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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