On the Electromagnetic Nature of Planck Constant

Abstract

In this work, it is demonstrated that there is an additional origin of the electric potential energy of an electron orbiting a nuclei that can be, alternatively to that associated to the elementary `static' charge of the electron as introduced by Bohr, formulated in terms of an electromotive force associated with the closed motion of the electron around the nuclei. This permitted the resolution of the Maxwellian laws of classical electrodynamics within electric $1/{\tau }_C$ and magnetic $1/{\tau }_L$ quantum rate settings for describing the time-dependent oscillatory dynamics of the electron in the ground state, conducting to a reinterpretation of the meaning of $h$ in quantum mechanics. Notably, the quantum electromagnetic rate reinterpretation of the ground state electrodynamics, as introduced in this work, is not only in compliance with Maxwellian laws, but also conforms with the relativistic quantum electrodynamics as proposed by Dirac; hence, it exhibits an inherent massless character of the electron that fulfils both relativistic quantum dynamics and Maxwellian laws of classical electrodynamics.