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Paradoxes of time travel

S. Krasnikov
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Abstract

Paradoxes that can supposedly occur if a time machine is created are discussed. It is shown that the existence of trajectories of ``multiplicity zero'' (i.e. trajectories that describe a ball hitting its younger self so that the latter cannot fall into the time machine) is not paradoxical by itself. This {\em apparent paradox} can be resolved (at least sometimes) without any harm to local physics or to the time machine. Also a simple model is adduced for which the absence of {\em true} paradoxes caused by self-interaction is proved.

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S. Krasnikov. 1996-03-25. Paradoxes of time travel. https://arxiv.org/abs/gr-qc/9603042

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