Gómez César, Zell Sebastian
1Instituto de Física Teórica UAM-CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain.
2Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 Munich, Germany.
Eur Phys J C Part Fields. 2018;78(4):320. doi: 10.1140/epjc/s10052-018-5799-8. Epub 2018 Apr 20.
In a black hole, hair and quantum information retrieval are interrelated phenomena. The existence of any new form of hair necessarily implies the existence of features in the quantum-mechanically evaporated radiation. Therefore, classical supertranslation hair can be only distinguished from global diffeomorphisms if we have access to the interior of the black hole. Indirect information on the interior can only be obtained from the features of the quantum evaporation. We demonstrate that supertranslations can be used as bookkeepers of the probability distributions of the emitted quanta where the first element describes the classical injection of energy and the second one is associated to quantum-mechanical emission. However, the connection between and is determined by the interior quantum dynamics of the black hole. We argue that restricting to the diagonal subgroup is only possible for decoupled modes, which do not bring any non-trivial information about the black hole interior and therefore do not constitute physical hair. It is shown that this is also true for gravitational systems without horizon, for which both injection and emission can be described classically. Moreover, we discuss and clarify the role of infrared physics in purification.
在黑洞中，毛发与量子信息检索是相互关联的现象。任何新形式毛发的存在必然意味着在量子力学蒸发辐射中存在某些特征。因此，只有当我们能够进入黑洞内部时，才能将经典超平移毛发与全局微分同胚区分开来。关于黑洞内部的间接信息只能从量子蒸发的特征中获取。我们证明，超平移可以用作发射量子概率分布的簿记员，其中第一个元素描述能量的经典注入，第二个元素与量子力学发射相关。然而，[此处原文缺失部分内容]与[此处原文缺失部分内容]之间的联系由黑洞的内部量子动力学决定。我们认为，仅对解耦模式才有可能限制在对角子群上，这些解耦模式不会带来任何有关黑洞内部的非平凡信息，因此不构成物理毛发。结果表明，对于没有视界的引力系统也是如此，其注入和发射都可以用经典方式描述。此外，我们讨论并阐明了红外物理在纯化中的作用。
