We know that electron trapped by nuclear, like the hydrogen system, is described by quantum state,and never fall to the nuclear.So is there any similar situation in the case of electron near the blackhole but not fall into it?And what is "falling " in gravitation mean when considering quantum mechanics?What does the equivalence principle mean in quantum cases?
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The equivalence principle is a classical principle, it does not apply in quantum cases. Several specific violations of the principle are reported http://prd.aps.org/abstract/PRD/v85/i4/e044052 http://iopscience.iop.org/0264-9381/29/2/025010 http://link.springer.com/article/10.1023%2FA%3A1002749217269 http://prd.aps.org/abstract/PRD/v78/i6/e064002 In the general case we wait the equivalence principle to not hold when the general relativistic spacetime metric $g_{ab}$ is corrected by the higher order graviton corrections. The black hole exists if you treat gravitation classically or semi-classically http://arxiv.org/abs/0902.0346 When graviton corrections are considered both the horizon event and the spacetime singularity disappear. |
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