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

Nikolay Marchuk

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arXiv · 2501.13112

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

Nikolay Marchuk

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Abstract

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 system of equations has an additional gauge symmetry with respect to the unitary group SU(2). The Yang-Mills field associated with this gauge group is interpreted as the gravitational field interacting with fundamental fermions.

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Nikolay Marchuk. 2025-01-11. Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad. https://arxiv.org/abs/2501.13112

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