Extended Dirac factorization: ‘multi-mass’ special cases in clifford form

Abstract

The hypercomplex approach to Dirac physics is here summarized. The new mass term is shown to give a ψ wave, in the extension of Dirac’s Klein-Gordon factorization (when the usual Dirac mass part equals zero), that is completely within the ‘complexified’ Hamilton-Pauli sub-algebraE. This may help with the physical interpretation of this new mass, with its five possible parts. New, spin 1/2 quanta also seem possible. These are all variations on Dirac’s factorization, where mass is generalized to several parts (multi-parts) or, instead, each new mass part, of the five, can be taken one at a time in nature, for individual wave equations. Lorentz symmetry is also naturally extended from 6 parameters to 8 parameters, and this has sweeping metaphysical implications. Dirac algebra is doubled also in a natural way using quaternions.