任意速度下的一些最小变化的基于地图的运动规则
Some minimally-variant map-based rules of motion at any speed
摘要：
我们把J. S.贝尔对“系相关”观点的推崇在这里达到了极限，并考虑了相对于单个任意惯性参考系固定的地标和时钟的“地图”上的运动。度规方程将旅行者时间与地图时间联系起来，产生了空间上恒定固有加速度（能量）、旅行者时间（感觉到的脉冲）、地图时间（动量）和追逐平面上的时间的简单积分，这些时间决定了伽利略的原始方程在高速下的应用。在一个框架的上下文中应用框架变量和适当的力的规则如下。通过使用长度、时间、速度和加速度的无同步和/或框架不变形式，它们在弯曲时空中的用处通过等价原理被最大化。在任何单一的局部惯性系中，度规方程使我们可以用一个不变但依赖于速度的力来表示电磁效应，并将这种力与引力进行对比。
英文摘要：
We take J. S. Bell's commendation of ``frame-dependent'' perspectives to the limit here, and consider motion on a ``map'' of landmarks and clocks fixed with respect to a single arbitrary inertial-reference frame. The metric equation connects a traveler-time with map-times, yielding simple integrals of constant proper-acceleration over space (energy), traveler-time (felt impulse), map-time (momentum), and time on the clocks of a chase-plane determined to see Galileo's original equations apply at high speed. Rules follow for applying frame-variant and proper forces in context of one frame. Their usefulness in curved spacetimes via the equivalence principle is maximized by using synchrony-free and/or frame-invariant forms for length, time, velocity, and acceleration. In context of any single system of locally inertial frames, the metric equation thus lets us express electric and magnetic effects with a single frame-invariant but velocity-dependent force, and to contrast such forces with gravity as well.
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。
