论文标题
重力/合奏双重性
Gravity/Ensemble Duality
论文作者
论文摘要
最近，首次显示重力计算可以产生与单一进化一致的鹰辐射熵的页面曲线。但是，计算是必不可少的输入鹰在后期辐射熵变大的结果。我们称这一明显的矛盾为国家悖论。我们在带有外部浴室的标准和双重性环境中表现出它的表现。我们澄清在每种情况下适用Ryu-Takayanagi处方的哪个版本。我们表明，在脑植物存在的情况下，这两个可能的同源性规则产生了国家悖论的大部分。如果重力路径积分计算合适的单一理论集合中的平均数量，则可以解决悖论，这是由最近几个进展独立支持的可能性。
For the first time, a gravitational calculation was recently shown to yield the Page curve for the entropy of Hawking radiation, consistent with unitary evolution. However, the calculation takes as essential input Hawking's result that the radiation entropy becomes large at late times. We call this apparent contradiction the state paradox. We exhibit its manifestations in standard and doubly-holographic settings, with and without an external bath. We clarify which version(s) of the Ryu-Takayanagi prescription apply in each setting. We show that the two possible homology rules in the presence of a braneworld generate a bulk dual of the state paradox. The paradox is resolved if the gravitational path integral computes averaged quantities in a suitable ensemble of unitary theories, a possibility supported independently by several recent developments.
