Generalized Dirac Equation with Four Orthogonal Families of Spin 1/2 Solutions

概要

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For the description of a family of leptons-and that of quarks-a new concept of fused system with attribute both of the elementary particle and of the composite system is introduced and a new fusion theory is developed. The fused system is postulated to be characterized by a Dirac-like wave-equation with coefficients belonging to an algebra consisting of triple-direct-products of γ-matrices. Four Lorentz invariant manifolds of solutions of the wave equation represent the spin 1/2 particles with the same internal quantum number and different masses such as e, μ,τ and the fourth charged lepton all of which have the Dirac g-value of 2. In sharp contrast to the conventional composite model of leptons and quarks no spin 3/2 particle appears in this scheme.
理論物理学刊行会の論文
1981-07-25