English

Causal faster than light travel from travel-localized second time coordinate

High Energy Physics - Theory 2019-09-04 v2 General Relativity and Quantum Cosmology

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 vmax2v_{\rm max}\leq \sqrt{2}. 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