| MadSci Network: Physics |
What is the value of the Fine Structure Constant when
extrapolated to T-zero using the figures for the variation in the Constant
found by the astronomical team at the University of New Ssouth Wales,
Australia as reported in the American Institute of Physics Bulletin of
Physics News, Number 410(Story#1) January l3,l999.
AN ARITHMETIC FORMULA FOR THE
> > FINE STRUCTURE CONSTANT
> > P = any prime
> > n = the ordinal number of a prime
> > Pn = the nth prime
> >
> > Let:
> > Pn: = the product of the first n primes
(Pn -1): = the product of the first n primes with each prime
> > reduced by one, or (Pn -1): = (2-1)(3-1)(5-1)...
> > a = The Fine Structure Constant, locally measured
> > b = (P3:)2(P10-1): / P10:
> > b = (2.3.5)2(2-1)(3-1)(5-l)(7-1)(11-1)(13-1)(17-1)(19-1)...
> > (23-1)(29-1) / 2.3.5.7.11.13.17.19.23.29 ...
> > b= l37.41408221...
> > 1/a= l37.03603328...
> > 1/a= 99.725...% of b
> >
> > Recent astronomical measurements indicate that 1/a increases toward T0.
> >
> > The formula for b yields the number of primes from zero
> > to Pn2 plus or minus a small skew.
> > The occurrence of (P3:)2 = (2.3.5)2 =900 in the formula for b
suggests:
> > Mp ~ 2(P3:)2 + (P2:)2 = 1836 = 2(900) + 36
Mn ~ same as above + P1: = l838
> > Mp ~ 2 (30)(30) + 30 + P2: = l836
> >
> > Respectfully submitted,
> >
> >
> > Paul J. Brinson
Re: value of the Fine Structure Constant
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