Dirac- and Lorentz-invariant symmetries in mass and four-momentum for superluminal aspects

Abstract

Superluminal concepts since 1962 have continued to gain momentum for numerous discussions. The so-called (yet unconfirmed) tachyons have been basically dealt in the literature with a second-order field equation, leaving aside a probable exploitation through a simpler first-order mechanism. Initiating this (first-order field) approach we show that the Dirac invariance under joint reversal symmetries of the mass and four-momentum leads to a (generalised) Lorentz symmetry. This yields solutions of a faster-than-light particle of definite negative mass (referred to here as ‘bisiston’) with possibly annihilating and other features. How can the ‘minus’ sign in the mass, —m, be interpreted? It seems, it corresponds to a mass-repulsion process leading to a very probable form of the (missing) ± symmetry in the mass (i.e. gravitational) interaction (comparable to the universalV ±A result). This argument appears to be extremely plausible in context of our wide universe where such a symmetry cannot be ruled out in the large.