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