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Paper IPM / P / 13878  


Abstract:  
Considering the role of black hole singularity in quantum evolution, a resolution to the firewall paradox is presented. It is emphasized that if an observer has the singularity as a part of his spacetime, then the semiclassical evolution would be nonunitary as viewed by him. Specifically, a freefalling observer inside the black hole would have a Hilbert space with nonunitary evolution; a quantum jump for particles encountering the singularity to outside of the horizon as late Hawking radiations. The nonunitariness in the jump resembles the one in collapse of wave function, but preserves entanglements. Accordingly, we elaborate the first postulate of black hole complementarity: freely falling observers who pass through the event horizon would have nonunitary evolution, while it does not have physically measurable effects for them. Besides, no information would be lost in the singularity. Taking the modified picture into account, the firewall paradox can be resolved, respecting No Drama. A byproduct of our modification is that roughly half of the entropy of the black hole is released close to the end of evaporation in the shape of very hot Hawking radiation.
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