Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909464193400832 |
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| author | Marchuk, Nikolay |
| author_facet | Marchuk, Nikolay |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13112 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad Marchuk, Nikolay General Physics 83C47 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. |
| title | Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad |
| topic | General Physics 83C47 |
| url | https://arxiv.org/abs/2501.13112 |