发表机构
University of Waterloo; Perimeter Institute; Pusan National University; National Taiwan University（滑铁卢大学; 珀尔默特研究所; 釜山国立大学; 台湾大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出正则量子引力框架，利用相干态重叠解释黑洞蒸发中的幺正演化，并引入玩具模型，以违反熵界为代价实现细粒度幺正性。
AI 中文摘要
我们提出了一个在正则量子引力背景下理解信息丢失悖论的框架。首先，我们重新审视了几种不涉及事件视界的黑洞蒸发方法。在这些模型中，我们假设每个时间切片对应于引力相空间中的一个相干态。由于这一性质，与给定空间构型相关的量子态将与另一空间构型有非零重叠。我们展示了这一性质如何能够同时解释半经典动力学和幺正时间演化。我们引入了一个显式的玩具模型，该模型在粗粒度层面上遵循半经典时间演化；此外，其时间演化在细粒度层面上是幺正的。唯一需要付出的代价是熵界的违反；我们讨论了这可能合理的理由。
英文摘要
We propose a framework for understanding the information loss paradox in the context of canonical quantum gravity. We first revisit several approaches to black hole evaporation that do not involve an event horizon. In these models, we assume that each time slice corresponds to a coherent state in the gravitational phase space. Due to this property, the quantum state associated with a given spatial configuration will have a nonzero overlap with another spatial configuration. We show how this property can account for both semi-classical dynamics and unitary time evolution. We introduce an explicit toy model that follows semi-classical time evolution at the coarse-grained level; in addition, its time evolution is unitary at the fine-grained level. The only price that one must pay is the violation of the entropy bound; we discuss reasons why this may be justifiable.
Comments22+5 pages, 9 figures
