论文标题
一般相对论黑洞熵的微观起源
Microscopic origin of the entropy of black holes in general relativity
论文作者
论文摘要
我们在任何维度上以负宇宙学常数为基本相对论,构建具有几何内饰的无限微晶体家族,用于永恒的黑洞。重力的欧几里得路径积分中的虫洞会导致这些状态具有具有通用形式的较小但非零的量子机械重叠。重叠具有巨大的后果:微晶体跨越了对数尺寸的希尔伯特空间,等于Bekenstein-Hawking熵。我们构造的半古老微晶体包含爱因斯坦 - 罗森桥的任意大小后面的桥梁。我们的结果表明,所有这些桥都可以解释为熵最多指数级的虫洞的量子叠加。
We construct an infinite family of microstates with geometric interiors for eternal black holes in general relativity with negative cosmological constant in any dimension. Wormholes in the Euclidean path integral for gravity cause these states to have small, but non-zero, quantum mechanical overlaps that have a universal form. The overlaps have a dramatic consequence: the microstates span a Hilbert space of log dimension equal to the Bekenstein-Hawking entropy. The semiclassical microstates we construct contain Einstein-Rosen bridges of arbitrary size behind their horizons. Our results imply that all these bridges can be interpreted as quantum superpositions of wormholes of size at most exponential in the entropy.