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From: mark a. thomas on 15 Feb 2010 13:22
Actually I never wanted to promote this as another scheme to calculate
the 'fine structure constant' . That it is not. It is a theory with a
mathematical framework from which it surprisingly looks like it
computationally deduces the 'fine structure constant'. Hence the minor
promotion here of a claim of getting it. The major claim is of finding
a mathematical structure which is core to the dimensionless constants
of the Standard Model, which includes the 'fine structure constant.

The surprise is that there are two calculating forms that could be
considered dual. That is they map to each other very well.

One form is a physics form:

(4/d^4)(a^2/c^2)((((2a^2/b^2)^1/65536)-1)^-1)^1/2048

Where a = M_pl (Planck mass), b = m_n (neutron mass), c = m_e
(electron mass), d = alpha (fine structure constant)

Placing the Codata 2006 values into the above form one can see that
Planck mass to particle mass ratios are utilised so that everything is
dimensionless. The value obtained to about 6 significant figures is:
8.07820...* 10^53. This value is close to the very large Monster
symmetry integer.

So what! Big deal.

There is the number theoretic form:

(1500625 e^(4 sqrt(58) pi))/(961 (1+sqrt(2/2396291527))^4)(4/d^4)
((((e^(2pi*sqrt(163)) 70^2)^(1/65536))-1)^-1)^(1/2048) =
808017424794512875886459904961710757005754368000000000

In this case it is set exactly to the size of the Monster Group
(integer). I f we solve for d (which is probably the 'fine structure
constant') we get:

d = 0.007297352568841518513443583197914260254...

Its inverse:

d^-1 = 137.03599909230556307630857983284702577811...

Transcendental and precise out to the great beyond. Compare this to
Gabrielse's 2008 combined empirical QED determination: alpha =
0.007297352569(5) It looks like d makes a prediction for the next
values in the string of alpha. Also, from the structural form we can
obtain precise values of the neutron mass to proton mass and others
too. There is more here than meets the eye(i.e. theory of modular
forms and the near integers). The near integers involving 58 and 163
participate here. If interested look at the link :
http://sites.google.com/site/dimensionlessconstants/

Mark Thomas

"In the mysterious way the scales of the hidden monster flash
iridescently from near impenetrable darkness"
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