Spontaneously broken, local Z${}_2$ symmetry and the anatomy of a lepton

Abstract

In the framework of the gauge symmetry ${SU(2)}_{CMB}\times {SU(2)}_e\times {SU(2)}_{\mu }\times {SU(2)}_{\tau }$ we provide a microscopic argument why a spontaneously broken, local Z${}_2$ symmetry surviving the 1${}^{st}$ order phase transition to the confining phase of one of the SU(2) factors generates two stable spin-1/2 excitations of vastly different mass. A mixture of Fermi-Dirac and Bose-Einstein distributions with the former favored by a factor two over the latter is obtained by applying inequivalent, local-in-Euclidean-time Z${}_2$ transformations to one and the same field configuration contained in the description of the center-vortex condensate.

Comments: 4 pages, 2 figures, essential expansion of text and information content, 16 references added, title changed