论文标题
内部激发的过度陈述:广告中金袋的解决方案
Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS
论文作者
论文摘要
在这项工作中,我们调查了广告中的单面和永恒的黑洞如何在其内部容纳大量的半经典激发,这似乎在Bekenstein Hawking熵中没有反映。除了熵中的悖论外,我们认为使用有效田间理论对这种激发的处理也违反了黑洞的预期光谱特性。我们建议解决这些谜团,因为显然它们之间的正交半古老的散装激发在它们之间具有很小的内部产品。因此,可以使用描述黑洞内部的希尔伯特空间来构建大量的半经典激发。我们表明,双重CFT描述中没有悖论,并评论最初的散装状态,这导致了悖论。此外,我们在小型$ n $玩具矩阵模型的背景下展示了我们提出的分辨率,我们在其中建造了这些大量激发。我们通过讨论为什么该决议对黑洞很特别而得出结论。
In this work, we investigate how single-sided and eternal black holes in AdS can host an enormous number of semiclassical excitations in their interior, which is seemingly not reflected in the Bekenstein Hawking entropy. In addition to the paradox in the entropy, we argue that the treatment of such excitations using effective field theory also violates black holes' expected spectral properties. We propose that these mysteries are resolved because apparently orthogonal semiclassical bulk excitations have small inner products between them; and consequently, a vast number of semiclassical excitations can be constructed using the Hilbert space which describes black hole's interior. We show that there is no paradox in the dual CFT description and comment upon the initial bulk state, which leads to the paradox. Further, we demonstrate our proposed resolution in the context of small $N$ toy matrix models, where we model the construction of these large number of excitations. We conclude by discussing why this resolution is special to black holes.