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arXiv 2512.21995gr-qchep-thquant-ph
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纠缠岛与渐近安全量子引力中黑洞的热力学

Entanglement Islands and Thermodynamics of the Black Hole in Asymptotically Safe Quantum Gravity

School of Physics, Beijing Institute of Technology(北京理工大学物理学院)

Sobhan Kazempour, Sichun Sun, Chengye Yu

AI总结:

本研究通过引入纠缠岛解决黑洞辐射熵悖论,揭示了渐近安全量子引力中黑洞热力学性质及信息守恒机制。

摘要:

我们研究了渐近安全量子引力中黑洞的热力学性质和纠缠岛,分析了霍金温度、热容量和熵等关键热力学量以及质量-视界半径关系。不同于施瓦茨希尔德黑洞,接近蒸发终点时温度随质量减小,表明存在相变和可能的稳定残余。通过有无岛屿贡献获得霍金辐射的纠缠熵。无岛屿时,辐射熵无限增长,导致信息悖论。通过包含岛屿贡献并极化广义熵功能,我们解决了这一悖论。在晚期,辐射熵饱和于贝肯斯坦-霍金熵,确认了幺正演化。由此,我们通过相等早期和晚期纠缠熵得出页面时间和混乱时间。本研究的结果确立了辐射熵的有限性和与量子力学的一致性。

英文摘要:

We study thermodynamic properties and the entanglement island of a black hole in asymptotically safe quantum gravity, analyzing key thermodynamic quantities such as the Hawking temperature, heat capacity, and entropy, as well as the mass-horizon radius relation. Unlike Schwarzschild black holes, the temperature decreases with mass near the evaporation endpoint, signaling a phase transition and possible stable remnant. The entanglement entropy of Hawking radiation is obtained both with and without island contributions. Without islands, the radiation entropy grows linearly indefinitely, leading to the information paradox. By including island contributions and extremizing the generalized entropy functional, we resolve this paradox. At late times, the radiation entropy saturates at the Bekenstein-Hawking entropy, confirming unitary evolution. From this, we derive the Page time and scrambling time by equating early- and late-time entanglement entropies. The result of this study establishes the finiteness of the radiation entropy and consistency with quantum mechanics.

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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