评"相对论性洛伦兹力方程的Avez-Seifert定理“及相关著作
Comment on ``The Avez-Seifert theorem for the relativistic Lorentz force equation'' and other related works
摘要：
有几种方法可以通过求解洛伦兹力方程来研究时空事件的连通性。这些方法分为三类，考虑不同的方程。我们阐明了每个方程的物理意义，表明只有一种方法是基于洛伦兹力方程。另外两种方法分别导致一个限制性较小的方程，定义了余切纤维束上的电磁流，或电荷质量比和适当的长度的解决方案之间的非物理约束。我们概述了每种方法的物理意义，研究变分公式，并澄清在探索方向获得的结果。
英文摘要：
There exist several approaches that investigate the connectedness of spacetime events through solutions of the Lorentz force equation. These approaches separate into three categories, that consider different equations. We clarify the physical meaning of each equation showing that only one method is based on the Lorentz force equation. The other two approaches lead respectively to a less restrictive equation that defines an electromagnetic flow on the cotangent fiber bundle, or to an unphysical constraint between charge-to-mass ratio and proper length of the solution. We outline the physical meaning of each approach studying the variational formulations and clarifying the results obtained in the explored directions.
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