Quantum Physics

    

A Derivation of the Fine Structure Constant from First Principles

Authors: Carlos Castro

It is shown that the value of α = (1/137.036...) can be derived from first physical principles by modeling the renormalized charge differences in QED, between three prescribed scales, with the definite integrals of the ground state probability density of the Hydrogen atom. This requires choosing the three fundamental scales to be the Bohr radius, the Compton wavelength and the Rydberg scale, whose ratios among themselves are related to α. The derivation is also compatible with the observed Astropysical variations of the fine structure constant which results from the cosmological expansion of the Universe. Concluding remarks pertaining Diophantine equations, number theory and physical constants are made.

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Submission history

[v1] 25 Feb 2007

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