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Horizon quantum fuzziness for non-singular black holes

机译:非奇异黑洞的视界量子模糊性

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摘要

We study the extent of quantum gravitational effects in the internal region of non-singular, Hayward-like solutions of Einstein’s field equations according to the formalism known as horizon quantum mechanics. We grant a microscopic description to the horizon by considering a huge number of soft, off-shell gravitons, which superimpose in the same quantum state, as suggested by Dvali and Gomez. In addition to that, the constituents of such a configuration are understood as loosely confined in a binding harmonic potential. A simple analysis shows that the resolution of a central singularity through quantum physics does not tarnish the classical description, which is bestowed upon this extended self-gravitating system by General Relativity. Finally, we estimate the appearance of an internal horizon as being negligible, because of the suppression of the related probability caused by the large number of virtual gravitons.
机译:我们根据称为水平量子力学的形式主义研究爱因斯坦场方程的非奇异,类似海沃德解的内部区域中的量子引力效应的程度。正如Dvali和Gomez所建议的那样,我们通过考虑大量重叠在同一量子态的软壳脱引子来对地平线进行微观描述。除此之外,这种构造的成分应理解为松散地限制在结合谐波电位中。一个简单的分析表明,通过量子物理学解决中心奇异点不会破坏经典描述,这是广义相对论赋予这种扩展的自重系统的基础。最后,由于抑制了由大量虚拟引子引起的相关概率,我们估计内部视线的外观可以忽略不计。

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