A THEORETICAL CASE FOR NEGATIVE MASS-SQUARE FOR SUB-eV PARTICLES

Abstract

Electroweak gauge bosons have masses of the order of 102 GeV [/c2], while masses of additional bosons involved in gravito-electroweak unification are expected to be still higher. These are at least eleven orders of magnitude higher than sub-eV range indications for neutrino masses. Under these circumstances we suspect that the sub-eV particles are created in a spacetime where gravitational effects of massive gauge bosons may become important. The question that we thus ask is: What is the spacetime group around a gravito-electroweak vertex? Modeling it as de-Sitter we find that sub-eV particles may carry a negative mass square of the order of [Formula: see text]. Neutrino oscillation data then hints at 30–75 TeV scale for M unif. , where M unif. characterizes gravito-electroweak unification scale.