Intrinsically acting Pauli principle as the origin of three Standard Model generations of leptons and quarks

Abstract

We turn back to the hypothesis that the Pauli principle, acting intrinsically within leptons and quarks, is the origin of their three generations. The adequate formalism is based on the generalized Dirac equations arising (in the interaction-free case) from the Klein-Gordon equations through the familiar squared-root procedure (but applied in the generic way). This leads to the existence of {\it additional} Dirac bispinor indices decoupled from the Standard Model gauge fields, thus nonobserved in these fields and, in consequence, {\it not distinguishable} from each other. They are treated as dynamical degrees of freedom obeying the Pauli principle along with Fermi statistics. Then, they produce within leptons and quarks the total additional spin equal to zero, and cause the existence of {\it three and only three} generations of Standard Model leptons and quarks. In the second part of the note we discuss the role of the new generation-weighting factors in building up the spectra of charged leptons and neutrinos.