Abstract
Based on a generalized Dirac equation, a formalism is constructed which further relates boson and fermion degrees of freedom. The field solutions of the equation naturally support an algebra and inner product which lead to vertices among them. Symmetries in the equation can be associated with flavor and gauge groups. Extended versions predict isospin and hypercharge SU(2) L × U(1) symmetries, their vector carriers, two-flavor charged and chargeless leptons, and scalar particles. A mass term produces breaking of the symmetry to an electromagnetic U(1), a Weinberg's angle with sin 2(θ W ) = .25, and respective coupling constants g = 1/ √2 ≈ .707 and g′ = 1/ √6 ≈ .408.
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