论文标题
黑洞的发散量要求没有“防火墙”
A divergent volume for black holes calls for no "firewall"
论文作者
论文摘要
可以将鹰辐射是热分布的假设是由于它们与黑洞内部自由度的纠缠所致。如果统一进化持续到佩奇的时间时，当黑洞蒸发其初始熵的一半时，这将导致“防火墙”悖论。但是，如果一个黑洞的内部始终保持足够的自由度保持与外部的纠缠，则可以在完整的辐射过程中保留单位性，并且不需要防火墙。本文提出了一种场景，通过引入黑洞的音量概念来撤销防火墙。基于Christodoulou和Rovelli [1]的操作定义，我们表明，如果使用非共同空间处理最终的蒸发阶段，则该体积及其相关的黑洞的相关熵发散。这意味着黑洞的内部拥有足够的空间来存储任何质量的黑洞，例如“魔术师袋子”的内部。
The presumption that Hawking radiations are thermally distributed can be considered to result from their entanglement with the internal degrees of freedom for a black hole. This leads to the "firewall" paradox if unitary evolution continues into Page's time when a black hole evaporates away half of its initial entropy. However, if the interior of a black hole houses sufficient degrees of freedom to maintain entanglement with the outside at all times, unitarity can be preserved during the complete radiation process and no firewall will be required. This paper proposes a scenario that rescinds firewall by introducing the concept of volume for a black hole. Based on the operational definition by Christodoulou and Rovelli [1], we show that the volume and its associated entropy for a collapsed black hole diverges if the final evaporation stage is treated using noncommutative space. This implicates the interior of a black hole possesses adequate space to store information for a black hole of any mass, like the inside of a "magician's bag".
