标题： 经典的防火墙转换作为规范转换 显示英文标题

标题： A Classical Firewall Transformation as a Canonical Transformation

摘要： 't Hooft近年来提出的防火墙变换，提出了雄心勃勃的主张，即在保持单位演化的同时解决防火墙问题和黑洞信息悖论。 然而，该理论在社区中受到的关注有限，尤其是在其纯经典引力物理基础上。 本文在量子化之前研究了't Hooft防火墙变换的基本假设。 我们发现，'t Hooft为了获得接近黑洞的入射和出射粒子的量子算符识别所使用的极限过程是不一致的。 我们提出了一种修正，涉及一个更宽松的近似范围。 在新的近似范围内，我们发现了一个球壳的防火墙变换的新经典类比，这允许将球壳的动力学演化超过它们的碰撞点。 在经典理论中，没有移除防火墙，因为每个类空超曲面上都有入射和出射物质，并且似乎在规范量子化之后也不会有任何防火墙被移除。 显示英文摘要

摘要： The firewall transformation put forward by 't Hooft in recent years has made ambitious claims of solving the firewall problem and the black hole information paradox while maintaining unitary evolution. However, the theory has received limited attention from the community, especially in regards to its foundations in purely classical gravitational physics. This paper investigates the underlying assumptions of 't Hooft's firewall transformation before quantization. We find that the limiting procedure used by 't Hooft in order to obtain an identification of the quantum operators for ingoing and outgoing particles near a black hole is not consistent. We propose a correction, which involves a more relaxed approximation regime. In the new approximation regime, we find a new classical analog for the firewall transformation for spherical shells, which allows evolving the spherical shells' dynamics past their point of collision. In the classical theory, no firewall is removed, as both ingoing and outgoing matter is present on every spacelike hypersurface, and it does not appear that any firewalls will be removed after a canonical quantization.