International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 769-788
doi:10.1155/S0161171291001047

Shock waves and Cerenkov radiation in electromagnetic substratum

Abstract

The EM fields of charged particles moving with velocity v in a physical vacuum with wave carrier (substratum) are determined by means of the generalized, Galilei covariant Maxwell equations for inertial frames ∑. with substratum flow w. In this Galilean approach, all velocities have absolute meaning relative to the substratum rest frame ∑o, and the relative velocity of material particles is given by the linear Galilean relation vG=v1−v2, permitting in principle superluminal relative velocities |vG|>co. Inter alias, the possibility of EM shock waves and Cerenkov radiation in the vacuum substratum is discussed. Experiments are proposed to test the theoretical predictions.