Consistency paradox in patient observers of evaporating blackholes
In this article, we will demonstrate that there
exist a fundamental 'consistency paradox' in evaporating black holes. This is because a patient asymptotic observer would observe that the black hole totally evaporates before the free-falling crosses the event horizon. However, from the perspective of the free-falling observer, he has fallen inside the horizon before the black hole has evaporated. As the patient asymptotic observer can make measurements and obtain information from the free-falling observer after the black hole has evaporated, she would obtain information contradicting information. Thus, we will end up with a consistency paradox in which two observers can exchange information, and disagree on the out come of an experiment. We argue that it is possible to avoid this paradox by analyzing the formation of a black hole from collapsing matter. In fact, using the
same thought experiment, we argue that it would not be possible to form a physical black hole from collapsing matter
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