Causal faster than light travel from travel-localized second time coordinate
Abstract
I present a {\em general relativistic} model with a compactified second time coordinate that {\em a priori} allows for causal, yet faster than light travel in the background of a FLRW geometry, by local modification of a higher dimensional background geometry, specifically with respect to the radius of the compactified time coordinate. The modification can be induced via the fields of the model. I show that one cannot convert (as possible in special relativistic models, or simple general relativistic models) the super-luminality into closed time-like loops violating causality, due to a novel combination of factors, at least for . The physics of the second time is constrained by postulates derived from reasonable physical assumptions. I comment on the possibility of experimental implications of the model.
Keywords
Cite
@article{arxiv.1812.10350,
title = {Causal faster than light travel from travel-localized second time coordinate},
author = {Horatiu Nastase},
journal= {arXiv preprint arXiv:1812.10350},
year = {2019}
}
Comments
19 pages, one figure; comments on unitarity added