The Fundamental Constants if c is Changing: A New Mass Constant and its Connection with the Electron

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When special relativity is extended to expanding hyperbolic position space [1], c decreases as t-1/2 and there is a new expansion constant, σ=c0^2H0-1=3.89x10^34 m^2s-1. Many fundamental constants become time-dependent and must be corrected by a small power of c. The corrected electrical permittivity of space is ɛo=ɛoc, and α remains constant. The corrected gravitation constant is G=G/c. A new fundamental mass constant of gravitation and cosmology occurs, m*=( ^2/Gσ )^1/3=( ^2H0/G0c0 )^1/3, with the value 1.087( ±0.010 )x10-28 kg. Its product αm* with α accounts for 87% of the observed inertial mass me of the electron. This establishes a new phenomenological relationship between the constants of electromagnetism and the electron on the one hand and those of gravitation and cosmology on the other. [1] F. T. Smith, Ann. Fond. L. de Broglie, 30, 179 (2005); ); http://www.ensmp.fr/aflb/AFLB-302/table302.htm

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