空间和时间的物理学I:用伽利略或洛伦兹变换描述匀速平移运动中的标尺和钟
The physics of space and time I: The description of rulers and clocks in uniform translational motion by Galilean or Lorentz transformations
摘要:
提出了一种基于指针标记重合的微积分,以数学上严格的方式定义空间和时间间隔的测量。在不同的惯性系,根据伽利略或洛伦兹变换的测量之间的连接,然后研究使用新的,简单的,实用的时钟同步程序。研究发现,测得的长度间隔是洛伦兹不变的,而移动的时钟显示出普遍的时间延缓效应。传统狭义相对论的“相对论性长度收缩”和“同时性的相对性”效应是计算误差的结果。两个推导的洛伦兹变换从简单的假设,没有参考电动力学或任何其他动力学理论,审查在附录中。
英文摘要:
A calculus based on pointer-mark coincidences is proposed to define, in a mathematically rigorous way, measurements of space and time intervals. The connection between such measurements in different inertial frames according to the Galilean or Lorentz transformations is then studied using new, simple, and practical clock synchronisation procedures. It is found that measured length intervals are Lorentz invariant, whereas moving clocks show a universal time dilatation effect. The `relativistic length contraction' and `relativity of simultaneity' effects of conventional special relativity theory are shown to be the consequence of calculational error. Two derivations of the Lorentz transformation from simple postulates, without reference to electrodynamics or any other dynamical theory, are reviewed in an appendix.
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。