Non-Perturbative Unitary Mixing of Bosonic Causal Spinors

Abstract

The fundamental fermion representations of causal spinor fields have previously been demonstrated to describe free Dirac fermions, as well as incorporate \emph{only} the observed degrees of freedom for local gauge invariance. In this paper, the first non-trivial boson representations of causal spinors will be presented. The general unitary mixing of degenerate bosonic spinors will be developed, and then applied to electro-weak bosons satisfying appropriate kinematic constraints. The resulting mass ratios are seen to be consistent with reported measured values for these bosons.