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 byH′ = 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′ = ǫE′, B ′ = μH′ and J′ = ηE′. 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.