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

Waldyr A. Rodrigues Jr.; Jose E. Maiorino

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

Waldyr A. Rodrigues Jr.·Jose E. Maiorino

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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 $0 \leq v < \infty$. 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.

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Waldyr A. Rodrigues Jr., Jose E. Maiorino. 1997-10-23. A unified theory for construction of arbitrary speeds (0 < = v < \infty) solutions of the relativistic wave equations. https://arxiv.org/abs/physics/9710030

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