Nonrelativistic para-Maxwellian electrodynamics with preferred reference frame in the universe

Abstract

The electrodynamics consistent with the para-Lorentzian mechanics developed in previous papers is obtained. The transformation law for the fields, Maxwelt's equations, and the potentials are the main topics considered. One then obtains the gauge transformation and the electromagnetic action with a view to further develop the para-Lorentzian theory of the electron.