Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski space
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914491938111488 |
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| author | Marchuk, Nikolay |
| author_facet | Marchuk, Nikolay |
| contents | We propose a gauge model with the SU(2) symmetry, which describes a gravitational interaction of fundamental fermions (leptons and quarks) in the Minkowski space. In the Standard Model one uses a Dirac-Yang-Mills system of equations with U(2) gauge symmetry for electroweak interactions and with SU(3) gauge symmetry for QCD interactions. A key idea of the model is to use the Dirac-type equation (invented in 2002) instead of the standard Dirac equation. This Dirac-type equation has an additional SU(2) gauge symmetry. The Yang-Mills field, which corresponds to this SU(2) symmetry, we identify with the gravitational field of interacted fundamental fermions. Some elements of Clifford analysis are used in the model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_18280 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski space Marchuk, Nikolay Mathematical Physics 70S15, 15A66, 53Z05 We propose a gauge model with the SU(2) symmetry, which describes a gravitational interaction of fundamental fermions (leptons and quarks) in the Minkowski space. In the Standard Model one uses a Dirac-Yang-Mills system of equations with U(2) gauge symmetry for electroweak interactions and with SU(3) gauge symmetry for QCD interactions. A key idea of the model is to use the Dirac-type equation (invented in 2002) instead of the standard Dirac equation. This Dirac-type equation has an additional SU(2) gauge symmetry. The Yang-Mills field, which corresponds to this SU(2) symmetry, we identify with the gravitational field of interacted fundamental fermions. Some elements of Clifford analysis are used in the model. |
| title | Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski space |
| topic | Mathematical Physics 70S15, 15A66, 53Z05 |
| url | https://arxiv.org/abs/2604.18280 |