论文标题
时空热力学的新观点：单型重力的出现和熵的等效性
New perspective on thermodynamics of spacetime: The emergence of unimodular gravity and the equivalence of entropies
论文作者
论文摘要
我们从克劳西乌斯熵之间的平衡跨越了局部因果钻石的边界和与其地平线相关的纠缠熵之间的平衡中提出了一个新颖的爱因斯坦方程。将这种推导与雅各布森（Jacobson）开发的纠缠平衡方法进行比较时，我们能够争辩半经典制度中物质纠缠和克劳西乌斯熵的等效性。我们还可以直接比较两个熵的保形物质，显示它们的等效性而没有吸引重力动态。此外，我们确定时空热力学所隐含的重力动力学实际上对应于单型重力，而不是一般相对论。
We present a novel derivation of Einstein equations from the balance between Clausius entropy crossing the boundary of a local causal diamond and entanglement entropy associated with its horizon. Comparing this derivation with the entanglement equilibrium approach developed by Jacobson, we are able to argue for the equivalence of matter entanglement and Clausius entropy in the semiclassical regime. We also provide a direct comparison of both entropies for conformal matter, showing their equivalence without appealing to gravitational dynamics. Furthermore, we determine that gravitational dynamics implied by thermodynamics of spacetime, in fact, corresponds to unimodular gravity rather than general relativity.
