Faster than light motion does not imply time travel
General Relativity and Quantum Cosmology
2014-07-10 v1 Mathematical Physics
Logic
math.MP
Abstract
Seeing the many examples in the literature of causality violations based on faster-than- light (FTL) signals one naturally thinks that FTL motion leads inevitably to the possibility of time travel. We show that this logical inference is invalid by demonstrating a model, based on (3+1)-dimensional Minkowski spacetime, in which FTL motion is permitted (in every direction without any limitation on speed) yet which does not admit time travel. Moreover, the Principle of Relativity is true in this model in the sense that all observers are equivalent. In short, FTL motion does not imply time travel after all.
Keywords
Cite
@article{arxiv.1407.2528,
title = {Faster than light motion does not imply time travel},
author = {H. Andréka and J. X. Madarász and I. Németi and M. Stannett and G. Székely},
journal= {arXiv preprint arXiv:1407.2528},
year = {2014}
}
Comments
11 pages, 5 figures