黑洞互补性来自微状态模型：信息复制与黑洞内部编码的研究
Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior
AI总结：
本研究通过微状态模型展示黑洞互补性如何涌现，发现信息复制关键在于自由度退耦合，毛发非等距编码初始状态，解码无需内部知识，仅需有限霍金辐射信息。
摘要：
我们研究了黑洞互补性原理如何在局部半经典近似的量子引力动力学中涌现。进一步发展和简化了基于近极端黑洞碎裂不稳定性的微状态模型，我们发现落入信息复制（而非克隆）的关键是各种自由度的退耦合。落入物质与内部退耦合，在毛发中保留一个依赖于时间的残余量子态，该量子态非等距地编码了物质的初始状态。能量吸收和退耦合后的内部非线性振铃也编码了初始状态，并将信息传递给霍金辐射。在霍金蒸发过程中，碎裂的喉相互退耦合，毛发与喉退耦合。我们发现，当每个碎裂喉的平均质量（作为温度的代理）保持固定时，毛发在退耦合时间后镜像落入信息，该时间随熵（在落入时）的对数缩放。镜像信息的解码协议不需要知道内部，只需要霍金辐射的有限信息，这可以论证是互补性原理所要求的。我们讨论了该模型在阐明黑洞中信息处理各个方面上的适用范围。
英文摘要：
We study how the black hole complementarity principle can emerge from quantum gravitational dynamics within a local semiclassical approximation. Further developing and then simplifying a microstate model based on the fragmentation instability of a near-extremal black hole, we find that the key to the replication (but not cloning) of infalling information is the decoupling of various degrees of freedom. The infalling matter decouples from the interior retaining a residual time-dependent quantum state in the hair which encodes the initial state of the matter non-isometrically. The non-linear ringdown of the interior after energy absorption and decoupling also encodes the initial state, and transfers the information to Hawking radiation. During the Hawking evaporation process, the fragmented throats decouple from each other and the hair decouples from the throats. We find that the hair mirrors infalling information after the decoupling time which scales with the logarithm of the entropy (at the time of infall) when the average mass per fragmented throat (a proxy for the temperature) is held fixed. The decoding protocol for the mirrored information does not require knowledge of the interior, and only limited information from the Hawking radiation, as can be argued to be necessitated by the complementarity principle. We discuss the scope of the model to illuminate various aspects of information processing in a black hole.
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