Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04738 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917224104591360 |
|---|---|
| author | Kurihara, Yoshimasa |
| author_facet | Kurihara, Yoshimasa |
| contents | This report provides a geometrical Yang-Mills theory, including gravity. The theory treats the space-time symmetry of the local Lorentz group in the same manner as the internal gauge symmetry. We extend this general relativistic Yang-Mills theory in the Minkowski space-time to a broader space, including Euclidean and Minkowskian spaces. In the extended space, we can transport topological achievements from the Euclidean Yang-Mills theory into the Lorentzian Yang-Mills theory. This extension also provides a relation between space-time and internal symmetry. The perspective provided by the extended theory suggests the novel relation between gravity and the weak force, leading us to the graviweak correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04738 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yang-Mills-Utiyama Theory and Graviweak Correspondence Kurihara, Yoshimasa General Relativity and Quantum Cosmology This report provides a geometrical Yang-Mills theory, including gravity. The theory treats the space-time symmetry of the local Lorentz group in the same manner as the internal gauge symmetry. We extend this general relativistic Yang-Mills theory in the Minkowski space-time to a broader space, including Euclidean and Minkowskian spaces. In the extended space, we can transport topological achievements from the Euclidean Yang-Mills theory into the Lorentzian Yang-Mills theory. This extension also provides a relation between space-time and internal symmetry. The perspective provided by the extended theory suggests the novel relation between gravity and the weak force, leading us to the graviweak correspondence. |
| title | Yang-Mills-Utiyama Theory and Graviweak Correspondence |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.04738 |