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

TL;DR

This paper demonstrates that tachyons, hypothetical faster-than-light particles, can be stable in a rotating universe, unlike in Minkowski space, with stability depending on their mass relative to the universe's rotation scale.

Contribution

It shows that tachyon stability is possible in a rotating universe, providing a new perspective on their behavior and potential observability.

Findings

Tachyons are stable in G"odel-like rotating universes if their mass is below a certain small threshold.

The stability bound resembles the Breitenlohner-Freedman bound in AdS space-times.

Heavy tachyons are unlikely to be observed due to the small upper mass bound.

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.