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arXiv 1210.4541gr-qchep-th
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黑洞内部的虚幻视界、热力学和全息术

Illusory horizons, thermodynamics, and holography inside black holes

Andrew J. S. Hamilton

摘要:

在黑洞的真实(未来)视界和虚幻(过去)视界之间存在着持续的、地方性的混淆。虚幻的视界是很久以前落入黑洞的物质的红移表面。一个自由落体穿过黑洞视界的人是穿过真实的视界,而不是虚幻的视界。这个人继续看到前方虚幻的视界,一直到经典奇点。对于局外人和进入者来说,虚幻的视界都是霍金辐射的来源。黑洞的熵是虚幻视界面积的1/4,无论是局外人还是坠入者。虚幻的视界以全息的方式对隐藏在它后面的状态进行编码,无论是对局外人还是对堕落者。一个infaller接近经典奇点的终点是将它们的状态与虚幻视界合并。那么,黑洞的全息边界就是虚幻视界和经典类空奇点的结合。当一个下落者到达经典奇点时,这个下落者与外界或其他下落者之间的任何纠缠都转化为与黑洞状态的纠缠,编码在虚幻的视界上。在一个下落者和一个空间分离的局外人或其他下落者之间,只要他们未来的光锥在奇点之前相交,定域性就成立,但当未来的光锥不再相交时,定域性就失效了。

英文摘要:

There is persistent and endemic confusion between the true (future) horizon and the illusory (past) horizon of a black hole. The illusory horizon is the redshifting surface of matter that fell into the black hole long ago. A person who free-falls through the horizon of a black hole falls through the true horizon, not the illusory horizon. The infaller continues to see the illusory horizon ahead of them, all the way down to the classical singularity. The illusory horizon is the source of Hawking radiation, for both outsiders and infallers. The entropy of a black hole is 1/4 of the area of the illusory horizon, for both outsiders and infallers. The illusory horizon holographically encodes states hidden behind it, for both outsiders and infallers. The endpoint of an infaller approaching the classical singularity is to merge their states with the illusory horizon. The holographic boundary of the black hole is then the union of the illusory horizon and the classical spacelike singularity. When an infaller reaches the classical singularity, any entanglement of the infaller with outsiders or other infallers is transferred to entanglement with the states of the black hole, encoded on the illusory horizon. Locality holds between an infaller and a spacelike-separated outsider or other infaller as long as their future lightcones intersect before the singularity, but breaks down when the future lightcones no longer intersect.

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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