Electrodynamics under a Possible Alternative to the Lorentz Transformation

A generalization of the classical electrodynamics for systems in absolute motion is presented using a possible alternative to the Lorentz transformation. The main hypothesis assumed in this work are: a) The inertial transformations relate two inertial frames: the privileged frame S and the moving frame S' with velocity v with respect to S. b) The transformation of the fields from S to the moving frame S' is given by H'=a(H - v D) and E'=a(E + v B) where a is a matrix whose elements depend of the absolute velocity of the system. c) The constitutive relations in the moving frame S' are given by D'= \epsilon E', B'= \mu H' and J'=\eta E'. It is found that Maxwell's equations, which are transformed to the moving frame, take a new form depending on the absolute velocity of the system. Moreover, differing from classical electrodynamics, it is proved that the electrodynamics proposed explains satisfactorily the Wilson effect.