量子黑洞视界的无尽征程
The endless journey towards the horizon of a quantum black hole
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中文总结 AI 辅助
该研究探讨量子引力中黑洞视界附近的量子结构问题,利用黑洞的混沌性质,发现下落观测者需无限时间到达视界,黑洞内部不可达,还通过粒子探测器响应验证了该结论。
中文摘要 AI 辅助
在量子引力中,量子效应是否会在黑洞视界附近产生非平凡结构,以及黑洞内部是否是大N极限的涌现特征,是一个极为重要的问题。我们发现,黑洞的强混沌性质(由其谱的随机矩阵统计所刻画)使得经过适当引力修饰的下落观测者需要花费无限的固有时才能到达视界,这使得黑洞内部在操作层面上对任何外部观测者都不可达,标志着量子引力中黑洞的大N因果结构发生了急剧崩溃。为了模拟下落观测者的体验,我们研究了耦合到二维量子黑洞背景中物质场的下落粒子探测器的响应,发现探测器在进入靠近黑洞视界的无限长非微扰征程时,其激发概率出现峰值。
英文摘要
It is a problem of great importance in quantum gravity whether quantum effects lead to nontrivial structure near black hole horizons, and if their interiors are emergent features of a large $N$ limit. We show that the strongly chaotic nature of black holes, captured by random matrix statistics of their spectrum, makes it so that a suitably gravitationally dressed infalling observer takes an infinite amount of proper time to reach the horizon. This makes the black hole interior operationally inaccessible to any outside observer, marking a sharp breakdown of the large $N$ causal structure of black holes in quantum gravity. To model the experience of an infalling observer, we study the response of an infalling particle detector coupled to a matter field in a 2d quantum black hole background, finding a peak in the detector's excitation probability as it enters an infinitely long non-perturbative journey close to the black hole horizon.
发表机构
- Ghent University(根特大学)
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