This article is cited in 1 paper

Velocity addition and a closed time cycle in Lorentz-noninvariant theories

A. E. Shabad<sup>ab

a</sup> Lebedev Physical Institute, RAS, Moscow, Russia
^b Tomsk State University, Tomsk, Russia

Abstract: In theories whose Lorentz invariance is violated by the presence of an external tensor of any rank, we show that a signal velocity, understood as the group velocity of a wave, is added to the velocity of the reference frame according to the standard relativistic rule for adding velocities. In the case where we have a superluminal signal, this observation allows creating a closed time cycle and thus coming to a conclusion about a causality violation even in the absence of relativistic invariance. We also reveal an optical anisotropy of a moving medium that is isotropic at rest.

Keywords: Lorentz-invariance violation, causality, superluminal propagation velocity, moving medium, closed time cycle.

Received: 25.07.2015

DOI: 10.4213/tmf9015

 English version: Theoretical and Mathematical Physics, 2016, 187:3, 813–822

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