Lorentz violation constrained by triplicity of lepton families and neutrino oscillations

In this paper we postulate an algebraic model to relate the triplet characteristic of lepton families to Lorentz violation.Inspired by the two-to-one mapping between the group SL(2,C) and the Lorentz group via the Pauli grading(the elements of SL(2,C) expressed by direct sum of unit matrix and generators of SU(2) group),we grade the SL(3,C) group with the generators of SU(3),i.e.the Gell-Mann matrices,then express the SU(3) group in terms of three SU(2) subgroups,each of which stands for a lepton species an...