等效原理与扩展引力的马赫起源
Equivalence Principle and Machian origin of extended gravity
AI总结：
本文从 Mach 原理与质能等效出发，提出通过 Ricci 标量与物质 Lagrangian 直接耦合，在低能下导出 MOND 类扩展引力。
摘要：
Chae 对 GAIA 宽双星观测结果的分析强化了扩展引力范式，其中尤其关注 MOND 类理论。我们回顾，从 Einstein 广义相对论的起源开始，Mach 对理论结构的要求一直是基础性争论的核心。这一问题与质能等效的本质密切相关，而这正是 Einstein 用以推导出同一广义相对论的关键点。另一方面，当前粒子物理学的需求以及扩展引力理论中尚未解决的问题——近来对 GAIA 观测结果的分析进一步增强了这些问题的重要性——要求人们更好地理解等效原理。通过考虑 Ricci 曲率标量与物质 Lagrangian 之间的直接耦合，可以确定惯性质量与引力质量之间的一种非测地比值，并在低能情形下恢复 MOND 类理论。
英文摘要：
Chae's analyses on GAIA observations of wide binary stars have fortified the paradigm of extended gravity with particular attention to MOND-like theories. We recall that, starting from the origin of Einstein's general relativity, the request of Mach on the structure of the theory has been the core of the foundational debate. This issue is strictly connected with the nature of the mass-energy equivalence. This was exactly the key point that Einstein used to derive the same general relativity. On the other hand, the current requirements of particle physics and the open questions within extended gravity theories, which have recently been further strengthened by analyses of GAIA observations, request a better understanding of the Equivalence Principle. By considering a direct coupling between the Ricci curvature scalar and the matter Lagrangian a non geodesic ratio between the inertial and the gravitational mass can be fixed and MOND-like theories are retrieved at low energies.
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。
