Proper-time measurement in accelerated relativistic systems

Uri Ben-Ya'acov

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arXiv · 1907.05975

Proper-time measurement in accelerated relativistic systems

Uri Ben-Ya'acov

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Abstract

Separate constituents of extended systems measure proper-times on different world-lines. Relating and comparing proper-time measurements along any two such world-lines requires that common simultaneity be possible, which in turn implies that the system is linearly-rigidly moving so that momentary rest frames are identifiable at any stage of the system's journey in space-time. Once momentary rest-frames have been identified, clocks moving on separate world-lines are synchronizable by light-signal communication. The synchronization relations for two clocks are explicitly computed using light-signals exchanged between them. Implications for the clock hypothesis are included. Also, since simultaneity is frame-dependent, incorrect usage of it leads to pseudo-paradoxes. Counter-examples are discussed.

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Uri Ben-Ya'acov. 2019-07-12. Proper-time measurement in accelerated relativistic systems. https://arxiv.org/abs/1907.05975

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