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arxiv: physics/9710030 · v1 · submitted 1997-10-23 · ⚛️ physics.class-ph · math-ph· math.MP

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

classification ⚛️ physics.class-ph math-phmath.MP
keywords equationsphysicalrelativisticsolutionsarbitrarybundlefieldsinfty
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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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