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arXiv · 2501.04738

Yang-Mills-Utiyama Theory and Graviweak Correspondence

Yoshimasa Kurihara
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Abstract

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.

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Yoshimasa Kurihara. 2025-01-08. Yang-Mills-Utiyama Theory and Graviweak Correspondence. https://doi.org/10.1007/s10773-025-06105-3

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