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The black-hole firewall theorem derives a suspicious consequence (largeenergy-momentum density on the horizon of a black hole) from a set of seeminglyreasonable hypotheses. I point out the hypothesis which is likely to beunrealistic---a hypothesis not always sufficiently made explicit--- and discussthe subtle confusion at its origin: mixing-up of two different notions ofentropy and misusing of the entropy bound.

The subtle unphysical hypothesis of the firewall theorem