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arXiv · 1109.6215

Superluminal neutrinos and the tachyon's stability in the rotating Universe

R. A. Konoplya
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Abstract

It is well-known that a hypothetical particle which moves faster than the light, a \emph{tachyon}, is unstable in the Minkowski space-time. Here we shall show that, contrary to the Minkowski case, the tachyon is stable in the rotating Universe described by a family of the G\"{o}del-like solutions, unless the absolute value of its mass is larger than some small constant which is related to the universe`s rotation scale and is many orders less than the electron`s mass. The smallness of this upper bound on the tachyon`s mass might be an explanation why we do not observe heavy tachyons. Mathematically, the stability bound is similar to the well-known Breitenlohner-Freedman bound for the asymptotically anti-de Sitter (AdS) space-times.

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R. A. Konoplya. 2011-09-28. Superluminal neutrinos and the tachyon's stability in the rotating Universe. https://doi.org/10.1016/j.physletb.2011.11.037

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