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arXiv 2501.04738gr-qc
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杨-米斯理论与引力弱对应

Yang-Mills-Utiyama Theory and Graviweak Correspondence

The High Energy Accelerator Organization (KEK)(高能加速器研究机构)

Yoshimasa Kurihara

AI总结:

本文提出了一种将引力与弱力联系起来的引力弱对应理论,通过扩展杨-米斯理论到更广泛的时空结构,建立了时空对称性与内部对称性之间的关系。

摘要:

本文报告了一种几何化的杨-米斯理论,包括引力。该理论将时空对称性中的局部洛伦兹群与内部规范对称性以相同方式处理。我们扩展了在闵可夫斯基时空中的广义相对论杨-米斯理论到更广的时空,包括欧几里得和闵可夫斯基空间。在扩展的时空内,我们可以将欧几里得杨-米斯理论中的拓扑成果运送到洛伦兹杨-米斯理论中。这种扩展也提供了时空与内部对称性之间的关系。扩展理论所提供的视角表明了引力与弱力之间的新型关系,从而导致了引力弱对应。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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