1996/03/25 by S. Krasnikov, Krasnikov, S.
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9603042
9 LaTeX pages, 23k. bezier.sty is desirable, but its absence will only damage two figures
arxiv created 1996/03/25 · arxiv updated 2009/11/30
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.