引力与内部相互作用的统一：重新审视SO(2,16)方案
Unification of Gravity with Internal Interactions: the SO(2,16) Scheme Revisited
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中文总结 AI 辅助
本研究利用弯曲流形切群与流形维数可不同的事实，以SO(2,16)为母群统一共形引力、模糊引力与SO(10)内部相互作用，推导了对称性破缺、费米子内容，讨论了低能现象学并给出展望。
中文摘要 AI 辅助
本研究的出发点是观察到弯曲流形的切群无需与流形本身具有相同的维数。我们利用这一事实将共形引力及其非对易（模糊）对应物构造为规范理论，随后将其与内部规范相互作用统一。具体而言，我们提出一个方案：基于SO(2,4)群规范化的共形引力、基于SO(1,5)×U(1)规范化的模糊引力，通过母群SO(2,16)与SO(10)内部相互作用相统一，我们详细推导了由此产生的自发对称性破缺及费米子内容。我们还讨论了该方案的低能现象学，包括宇宙弦引力波信号，并以简要展望收尾：候选最小统一群、该构造提出的暗物质候选者，以及这类高阶导数引力理论共有的鬼场问题。
英文摘要
The starting point of the present work is the observation that the tangent group of a curved manifold need not have the same dimension as the manifold itself. We use this fact to construct Conformal Gravity and its noncommutative (Fuzzy) counterpart as gauge theories, and then to unify both with internal gauge interactions. Specifically, we present a scheme in which conformal gravity, based on gauging the SO(2,4) group, and fuzzy gravity, based on gauging the SO(1,5)$\times$U(1), are unified with SO(10) internal interactions through the parent group SO(2,16), and we work through the resulting spontaneous symmetry breakings and fermion content in detail. We also discuss the low-energy phenomenology of the scheme, including cosmic-string gravitational-wave signals, and close with a brief outlook: a candidate minimal unification group, a dark-matter candidate suggested by the construction, and the ghost problem common to higher-derivative gravity theories of this type.
