john brandenburg
(Orbital Technologies Corporation)
In the GEM unification theory ( Brandenburg 2007) a deep connection is found between alpha, the fine structure constant, and the proton/electron mass ratio. This is understood since the Wyler-Lenz formula (Wyler 1971) for alpha and the Wyler-Lenz proton/electron mass ratio formula can be hueristically derived by the assumption Planckian spectra in the proton and in the vacuum. It is found that the mass ratio Wyler-Lenz formula 6Pi^5 = mp/me =1836.15 can be found simply from a model of protons and electrons as equal sized spheres of 1.4fm with electrons being electrostatic and protons being filled with three Planckian EM radiation fields , each representing a quark, of approximate temperature of the neutral pion rest mass. Likewise, the Wyler Formula written as alpha^-1=(80/3Pi)( 2Pi^5/15)^3/4 =137.036 can be derived from the probability of an electron absorbing and emitting a photon as a miniature cubic black body equated to it being also as a miniature perfectly conducting cube of the same surface area. Brandenburg, J. E. (2007) IEEE Trans.Plasma Sci. Vol. 35, No. 4. , p845. Wyler A. (1971) Acad. Sci. Paris, Comtes Rendus, 271A, 180.
Summary
Wlyler has been vindicated is his contention that two of the fundamental constants of nature can be understood approximately as a result of underlying the mathematical structure of EM interactions with matter. Both the Wyler formulas are, in fact, rationalized forms of the Stefan-Boltzman constant , describing integrals over Planckian EM fields. The Wyler-Lenz formula for the proton electron mass ratio can be approximately derived by assuming that the quark-gluon fields inside of the proton form three independent Planck spectra with temperatures of approxiamtely a neutral pion mass and are in a radiation enclosure of a nucleon radius which is approximately 1.4fm in radius, as is the electron electrostatic classical radius. Alpha is found as the ratio of relectance of a cubic black body to a perfectly conducting cube of the same dimensions.
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