A unified theory for construction of arbitrary speeds (0 < = v < \infty) solutions of the relativistic wave equations

Abstract

Representing the relativistic physical fields as sections of the Clifford Bundle (or of the Spin-Clifford Bundle) of Minkowski spacetime we show that all the relativistic wave equations satisfied by these fields possess solutions traveling with arbitrary speeds $0\le v<\infty$. By giving rigorous mathematical definitions of reference frames and of the Principle of Relativity (PR) we prove that physical realizations of the $v>1$ solutions of, e.g., the Maxwell equations imply in a breakdown of the PR, but in no contradiction at all with known physical facts.

46 pages, Latex2e article style with option rose.sty to reproduce the published version; no figures