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arXiv 0802.4087gr-qcastro-phhep-th
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量子引力坍缩:非奇异性和非定域性

Quantum gravitational collapse: non-singularity and non-locality

Eric Greenwood, Dejan Stojkovic

摘要:

我们在量子力学的背景下研究引力坍缩。我们主要关心的是从下落观察者的角度来看,在视界附近和原点附近(经典奇点)的坍缩行为。在没有辐射的情况下,视界附近的量子效应不会改变下落观察者的经典结论,这意味着视界对他来说不是障碍。然而,由于波函数在原点是非奇异的,量子效应能够消除原点处的经典奇异性。此外,在经典奇点附近,一些非局部效应变得重要。在描述原点附近行为的薛定谔方程中,一点处的波函数的导数与另一远点处的波函数的值相关。

英文摘要:

We investigate gravitational collapse in the context of quantum mechanics. We take primary interest in the behavior of the collapse near the horizon and near the origin (classical singularity) from the point of view of an infalling observer. In the absence of radiation, quantum effects near the horizon do not change the classical conclusions for an infalling observer, meaning the horizon is not an obstacle for him. However, quantum effects are able to remove the classical singularity at the origin, since the wave function is non-singular at the origin. Also, near the classical singularity, some non-local effects become important. In the Schrodinger equation describing behavior near the origin, derivatives of the wave function at one point are related to the value of the wave function at some other distant point.

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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