Superluminal neutrinos and the tachyon's stability in the rotating Universe
arXiv:1109.6215 · doi:10.1016/j.physletb.2011.11.037
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 Gödel-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.
10 pages, new material added, accepted for publication in Phys. Lett. B
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