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Tolman’s paradox and the proper treatment of time in relativistic theories

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An expression of the law of causality is proposed, which is shown not to apply to faster-than-light travel (“tachyons”). It is proposed, in view of this, to deal with time in relativistic theories by using proper time measured along a trajectory rather than as an arbitrary foliation of an extended reference frame in space-time. Considerations from the quantum theory of particles also show that Tolman’s paradox does not really arise for the case of single tachyon transmission, as quantum particles have no identities or trajectories and therefore cannot be tracked continuously.
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Keywords: Quantum Theory; Relativity; Tachyons; Tolman’s Paradox

Document Type: Research Article

Publication date: September 15, 2017

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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