dorsal/arxiv
View SchemaA unified theory for construction of arbitrary speeds (0 < = v < \infty) solutions of the relativistic wave equations
| Authors | Waldyr A. Rodrigues Jr., Jose E. Maiorino |
|---|---|
| Categories | |
| ArXiv ID | physics/9710030 |
| URL | https://arxiv.org/abs/physics/9710030 |
| Journal | Random Oper. and Stoch. Equ., vol. 4, 355-400 (1996) |
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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"abstract": "Representing the relativistic physical fields as sections of the Clifford\nBundle (or of the Spin-Clifford Bundle) of Minkowski spacetime we show that all\nthe relativistic wave equations satisfied by these fields possess solutions\ntraveling with arbitrary speeds $0 \\leq v \u003c \\infty$. By giving rigorous\nmathematical definitions of reference frames and of the Principle of Relativity\n(PR) we prove that physical realizations of the $v \u003e 1$ solutions of, e.g., the\nMaxwell equations imply in a breakdown of the PR, but in no contradiction at\nall with known physical facts.",
"arxiv_id": "physics/9710030",
"authors": [
"Waldyr A. Rodrigues Jr.",
"Jose E. Maiorino"
],
"categories": [
"physics.class-ph",
"math-ph",
"math.MP"
],
"journal_ref": "Random Oper. and Stoch. Equ., vol. 4, 355-400 (1996)",
"title": "A unified theory for construction of arbitrary speeds (0 \u003c = v \u003c \\infty) solutions of the relativistic wave equations",
"url": "https://arxiv.org/abs/physics/9710030"
},
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