Homogeneous Bianisotropic Medium, Dissipation and the Non-constancy of Speed of Light in Vacuum for Different Galilean Reference Systems

Abstract

A procedure is developed which leads to a relation that can be used to argue the negation of the Special Relativity Theory when there exists a general homogeneous bianisotropic medium with dissipation. The unbounded general bianisotropic medium is interfaced with a perfectly conducting medium fllling a half space so that the interface is an inflnite plane. The perfectly conducting half space (medium (II)) is assumed to move uniformly and along the O 0 z 0 axis of the Galilean reference system K 0 which is attached to medium (II), and the interface plane with medium (I), the bianisotropic medium which is at rest and to which is attached the Galilean reference system K, is assumed to be perpendicular to the O 0 z 0 axis. The relation found is between constitutive parameters, the direction cosines with respect to Oxyz axes of the incident plane wave impingent on the inflnite plane interface, the incident wave parameters, v1 the relative speed of K 0 with respect to K and c the speed of light in vacuum. This relation is shown to be interpretable to falsify the Special Relativity Theory. On the other hand it is demonstrated also that when the same homogeneous bianisotropic medium without loss is considered no such relation can be obtained and the Special Relativity Theory cannot be contradicted. Three examples are presented. One for a lossless electrically uniaxially anistropic medium, one for a dissipative simple medium and another for a dissipative electrically uniaxially anistropic medium. While the flrst one does not lead to any contradiction of Maxwell's equations with Special relativity Theory, the other two are shown to lead to such relations.