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Author Topic: Retrodicting the electron and neutron masses with a discrete fractal paradigm  (Read 623 times)
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rloldershaw
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Posts: 63


« on: March 29, 2011, 03:04:05 AM »

Below are some retrodictions using a discrete fractal cosmological paradigm.

Consider the basic Kerr metric equation: J = aGm^2/c,
where J = total momentum
a = dimensionless rotational parameter.
If J = (j{j+1})^1/2 h-bar
and we use G = G' = 2.18 x 10^31 cm^3/g sec^2
[call it the strong force coupling constant, actually Atomic Scale GR constant]
then: m = (j{j+1}/a^2)^1/4 (h-bar c/G')^1/2.
--------------------------------------------------------
PROTON
For j = 1/2 and a = 4/9 [i.e., ~1/2], m = 942.935 MeV   
[proton mass = 938.3 MeV]
We notice that (h-bar c/G')^1/2 has the form of the Planck mass.
-----------------------------------------------------------
ELECTRON
If we choose (alpha^2 e^2/G')^1/2 as our fundamental mass,
in place of (h-bar c/G')^1/2,  i.e., replace (h-bar c) with (alpha^2 e^2)and call it the "Einstein mass", our mass equation becomes   
m = (j{j+1}/a^2)^1/4 (alpha^2 e^2/G')^1/2.
For j = 1/2 and a = 7/12 [again ~1/2], m = 0.5131 MeV   
[electron mass = 0.511 MeV]
-------------------------------------------------------
NEUTRON

Neutron mass = proton mass + 3(Einstein mass) = 939.5354 MeV   
[neutron mass = 939.566 MeV].
-----------------------------------------------------
The electron mass, and the proton-neutron mass difference,
have never been explained.
For scientists who would like to see a more detailed summary
of these theoretical results, I have a brief 3-page summary that
explains the retrodictions in more detail.
If you send me an email I will attach a doc. file or pdf (your choice)in my reply.
 
RLO
http://www3.amherst.edu/~rloldershaw
Discrete Scale Relativity
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