Speed addition and closed time cycle in Lorentz-non-invariant theories
High Energy Physics - Theory
2016-11-22 v1
Abstract
In theories, whose Lorentz invariance is violated by involvement of an external any-rank tensor, we show that the standard relativistic rule still holds true for summing the signal speed, understood as the group velocity of a wave, with the speed of the reference frame. Provided a superluminal signal is available, this observation enables one to arrange a closed time cycle and hence causality violation, notwithstanding the Lorentz noninvariance. Also an optical anisotropy of a moving medium, isotropic at rest, is revealed.
Keywords
Cite
@article{arxiv.1511.08785,
title = {Speed addition and closed time cycle in Lorentz-non-invariant theories},
author = {Anatoly E. Shabad},
journal= {arXiv preprint arXiv:1511.08785},
year = {2016}
}
Comments
8 pages to be published in the volume of Theor. Math. Phys. dedicated to 75-th birthday of I.V. Tyutin