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Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad

Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad

A gauge model with SU(2) symmetry is proposed to describe the gravitational interaction of fundamental fermions (leptons and quarks) on a Lorentzian manifold with a tetrad. From the system of Dirac-Yang-Mills equations underlying the Standard Model, we arrive at a model system of Dirac-Lanczos-Yang-Mills equations, written using second-order matrices. This …