构造相对论波动方程任意速度(0 < = v < \infty)解的统一理论
A unified theory for construction of arbitrary speeds (0 < = v < \infty) solutions of the relativistic wave equations
摘要:
将相对论性物理场表示为闵可夫斯基时空的Clifford丛(或自旋Clifford丛)的截面,我们证明了这些场所满足的所有相对论性波动方程都具有以任意速度$0 \leq v < \infty$传播的解。通过给出参考系和相对性原理(PR)的严格数学定义,我们证明了$v > 1$解的物理实现,例如,麦克斯韦方程组意味着PR的分解,但与已知的物理事实完全不矛盾。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。