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Science Forum Index » Physics - Electromagnetic Forum » Running of the fine structure constant - how exactly?...
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| John C. Polasek... |
 Posted: Tue Jul 01, 2008 4:28 pm |
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On Tue, 1 Jul 2008 10:24:01 -0700 (PDT), "tnlockyer at (no spam) aol.com"
<tnlockyer at (no spam) aol.com> wrote:
Quote: On Jul 1, 9:21 am, "tnlock... at (no spam) aol.com" <tnlock... at (no spam) aol.com> wrote:
On Jun 30, 7:22?pm, John C. Polasek <jpola... at (no spam) cfl.rr.com> wrote:
On Mon, 30 Jun 2008 17:52:41 -0700 (PDT), "tnlock... at (no spam) aol.com"
tnlock... at (no spam) aol.com> wrote:
http://www.members.aol.com/tnlockyer/CHARGESPIN.pdf
Tom, this is my result, copy/pasted:
Your search -http://www.members.aol.com/tnlockyer/CHARGESPIN.pdf-
did not match any documents.
an't imagine what is
Suggestions:
? ? * Make sure all words are spelled correctly.
? ? * Try different keywords.
? ? * Try more general keywords.
John Polasek
John, I click on your paste and the link shows up.
I can't imagine what is wrong with your access.
Has no one else had your problem?
Regards; Tom.
http://www.amazon.com/Fundamental-Physical-Constants-Geometric-Struct...
John, try this:
Go to:
http://www.members.aol.com/tnlockyer/
Then go down the list and double click on CHARGESPIN.pdf
BTW. while you are there, you might like to download :
Quantumstepresistancedissipation.pdf
I wrote this paper a couple of years ago and never got around to
publishing it, rathe I included the information in my book available
from Amazon.com
Yes, that's a wonderful list of your papers. We haven't seen your hand
in a couple of years. I tried to absorb the ideas. In chargespin it
looks like Poynting is chasing his tail, in fact it looks like the
curl of some quantity. Are you able to arrive at the magic number
1836?
John Polasek |
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| Rock Brentwood... |
| Posted: Tue Jul 01, 2008 9:33 pm |
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On Jun 30, 9:55 pm, Jay Bala <jay1b... at (no spam) aol.com> wrote:
Quote: alpha=7.29 735 257 240 051 31... x10^-3
1/alpha=137.035 999 025 471 68...
That's the low energy asymptotic value. As you ramp up the energy in a
scattering process and probe deeper into the field of a source, the
effective value of alpha increases. This occurs because the source
being probed by a scatting process actually deviates from Coulomb, as
you probe deeper into it. For electromagnetism, the effective
potential goes faster than 1/r, though it's 1/r when far-removed from
the source. There's a huge industry that is (and has long been around)
dedicated to the question of the inverse scattering problem
(reconstructing an image, here, the profile of the potential
surrounding a source, from the results of scattering done off the
source). One actually sees the effective alpha go up at high energies.
It's widely believed (but not a complete consensus) that theory
predicts, in fact, that it would approach infinity at a finite
positive radius. That's called the Landau Pole.
To some extent this may be classically modelled. On general
principles, one would expect an effective dynamics for the dielectric
coefficient epsilon to be given by an equation of the form
[] log(epsilon_0) = -K epsilon_0 (E^2 - B^2 c^2)
for some positive constant K. This translates directly into an
equation d^2(log alpha)/d(1/r)^2 = k alpha, for some constant k. From
this you can get any of a wide variety of phases, including one that
replicates the features of the Landau Pole.
Other solutions, interestingly, include a phase where the effective
field E approaches a constant as r -> infinity, and alpha -> 0 as r ->
0. These features are called, respectively, "infrared slavery" and
"asymptotic freedom". For non-Abelian gauge fields (SU(3), here) it's
the basis of confinement that rules out the existence of monopole
sources. In this phase, sources with bounded fields can only exist as
dipoles or higher order multipoles (which includes, in SU(3), the 3-
body neutral sources with 3 charges bound to each other).
The 3-Way Kiss -- the Real Life Version
http://www.flickr.com/photos/confusedamused/20988689/ |
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| Jay Bala... |
| Posted: Wed Jul 02, 2008 6:33 am |
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Rather, steradian: (180/pi)^2
Jay Bala.
On Jun 30, 11:22 pm, Jay Bala <jay1b... at (no spam) aol.com> wrote:
Quote: Lets define,
1) 1/alphaPrime=((180*Phi)^2)/(20*pi^3)
..
..
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Quote: Rearranging the alphaPrime shows that its in fact a product of radians
and the golden ratio.
Regards,
Jay Bala. |
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| Jay Bala... |
| Posted: Fri Jul 04, 2008 1:46 pm |
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On Jun 30, 11:22 pm, Jay Bala <jay1b... at (no spam) aol.com> wrote:
Quote: Let me give you the equation:
Lets define,
1) 1/alphaPrime=((180*Phi)^2)/(20*pi^3)
2) For period doubling, as the limit approching infinity in chaos
theory:
Feigenbaum constant delta:
deltaF=delta Feigenbaum constant=4.66920....
3) For period doubling reduced from one doubling to the next,
converges to:
Feigenbaum constant alpha:
alphaF=alpha Feigenbaum constant=2.50290...
then,
1/alpha=1/alphaPrime+alphaF/10+sqrt(10/deltaF)
Correction: 1/alpha=1/alphaPrime+alphaF/10+sqrt(10/deltaF)x10^-5
Regards,
Jay Bala. |
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