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arXiv 0905.4916gr-qc
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完全量子引力中的黑洞

Black holes in full quantum gravity

Kirill Krasnov, Carlo Rovelli

摘要:

量子黑洞在量子引力和弦论中得到了广泛的研究,使用各种半经典或背景依赖的方法。我们探索了在完全非微扰量子理论中研究黑洞的可能性,而不需要借助于半经典的考虑,并在圈量子引力的背景下。我们提出了一个量子黑洞的定义,它是不影响无穷远处可观测量的量子自由度的集合。根据这个定义,可以得出这样的结论:对于一个在无穷远处的观测者,一个黑洞可以用SU(2)纠缠算符来描述。这种缠绕的希尔伯特空间的维数随视界面积呈指数增长。这些考虑揭示了一些有助于黑洞熵的微观状态的物理本质。特别地,可以看出,被计算熵的微观状态具有描述不同视界形状的解释。这里所描述的黑洞微观态空间与恩格尔、努伊和佩雷斯以及斯莫林最近得到的微观态空间有关,但这里是直接在完整的量子理论中得到的。

英文摘要:

Quantum black holes have been studied extensively in quantum gravity and string theory, using various semiclassical or background dependent approaches. We explore the possibility of studying black holes in the full non-perturbative quantum theory, without recurring to semiclassical considerations, and in the context of loop quantum gravity. We propose a definition of a quantum black hole as the collection of the quantum degrees of freedom that do not influence observables at infinity. From this definition, it follows that for an observer at infinity a black hole is described by an SU(2) intertwining operator. The dimension of the Hilbert space of such intertwiners grows exponentially with the horizon area. These considerations shed some light on the physical nature of the microstates contributing to the black hole entropy. In particular, it can be seen that the microstates being counted for the entropy have the interpretation of describing different horizon shapes. The space of black hole microstates described here is related to the one arrived at recently by Engle, Noui and Perez, and sometime ago by Smolin, but obtained here directly within the full quantum theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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