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从规范对称性破缺与SO(2,16)统一出发的共形引力与非对易引力

Conformal and Noncommutative Gravity from Gauge Symmetry Breaking and SO(2,16) Unification

Stelios Stefas, George Zoupanos

arXiv 2608.23220首次发表:更新:

AI 中文总结

本文基于引力的规范理论思想,回顾共形与非对易引力的规范构造,提出利用SO(10)大统一理论,结合弯曲流形切空间对称群维数与时空维数不重合的关键观察,实现引力规范形式与内部相互作用的统一。

AI 中文摘要

受将引力视为规范理论这一古老思想的启发,我们回顾了共形引力与非对易(模糊)引力的规范理论构造,随后基于弯曲流形的切空间对称群维数不必与时空维数重合这一关键观察,概述了如何将这些引力的规范形式与由SO(10)大统一理论描述的内部相互作用相统一。

英文摘要

Motivated by the old idea of treating gravity as a gauge theory, we review the gauge-theoretic construction of Conformal Gravity and of Noncommutative (Fuzzy) Gravity. We then outline how these gauge formulations of gravity can be unified with internal interactions described by an SO(10) Grand Unified Theory, based on the critical observation that the dimension of the tangent-space symmetry group of a curved manifold need not coincide with the spacetime dimension.

Comments12 pages. Contribution to the SAGS2025 Conference Proceedings; accepted for publication

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