The Derivation of the Fine Structure Constant

Abstract

With an exponential approach for the mass scales of the observable universe including the gravitational constant as a time dependent parameter, the Planck mass can be generalized yielding a mass model where elementary particle masses are related and accurately calculated [1]. As a premise the observable universe evolves as a black hole, i.e. from the initial singularity it fulfiled the conditions of the Schwarzschild mass radius relation. With these assumptions and a logarithmic potential for elementary particle constituents the fine structure constant α is derived as α=0,007297359 (0,007297353, Δα/α=8∙10^-7), the measured value and the relative deviation of both are in brackets. The result is independent of the fundamental physical constants defining α.