一个引力，多个G：广义视界熵与引力响应率

中文摘要 AI 辅助

在广义熵背景下，引力理论的有效推导和热力学推导可能产生多个且可能变化的引力耦合常数，这引发了一个问题：哪个量应被认定为物理上测量的牛顿常数。受这一模糊性启发，我们提出了视界引力响应率的概念。在包含多个视界的时空中，如果熵是多视界状态空间上的函数，$S=S(A_1,A_2,\cdots,A_n)$，那么熵对各个视界面积的导数定义了视界引力响应系数。不同的视界可能具有不同的引力响应，而无需引入多个基本引力耦合常数，这类似于宏观介质中方向相关的响应系数。这一框架自然暗示了视界熵（如宇宙学表观视界和黑洞视界）之间可能相互影响的可能性，这或许能解释文献中先前讨论的黑洞-宇宙学耦合的“黑洞质量增长”现象。

英文摘要

Effective and thermodynamic derivations of gravity theory in the context of generalized entropy can give rise to multiple, and potentially varying, gravitational couplings, raising the question of which quantity should be identified with the physically measured Newton constant. Motivated by this ambiguity, we formulate the notion of gravitational susceptibility of the horizon. In spacetimes containing multiple horizons, if the entropy is a function on a multi-horizon state space, $S=S(A_1,A_2,\cdots,A_n)$, then the derivatives of the entropy with respect to individual horizon areas define the horizon gravitational response coefficients. Different horizons may possess distinct gravitational responses without requiring multiple fundamental gravitational couplings, analogous to direction-dependent response coefficients in macroscopic media. This framework naturally suggests the possibility that horizon entropies (such as the cosmological apparent horizon and a black hole horizon) can influence one another, which could explain the black hole-cosmology coupled "black hole mass growth" previously discussed in the literature.

发表机构

• Center for the Cross-disciplinary Research of Space Science and Quantum-technologies (CROSS-Q), College of Physics, Nanjing University of Aeronautics and Astronautics（南京航空航天大学物理学院跨学科空间科学与量子技术研究中心）

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