1997/10/23 by Waldyr A. Rodrigues Jr., Jose E. Maiorino
Physics and Astronomy · Mathematics · #physics.class-ph #math-ph #math.MP
published as Random Oper. and Stoch. Equ., vol. 4, 355-400 (1996) · 46 pages, Latex2e article style with option rose.sty to reproduce the published version; no figures
arxiv created 1997/10/23 · arxiv updated 2009/11/30
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 ≤ v < ∞. 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.