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We argue that the semiclassical analysis of the black hole informationparadox is incomplete and has to be completed by an explicit entanglement ofmatter and quantum gravity degrees of freedom. We study in detail theevaporation process from beginning to end in the light of our extension andshow that a pure initial state remains pure over the full evaporation process,including the final state which remains after the black hole has completelyevaporated. By the same token we show how the quantum hair is encoded in themicro structure of the (final) gravitational state which is entangled with the(final) radiation state.

About the Incompleteness of the Semiclassical Picture in the  BH-Information Paradox and the Quantum Hair emerging from the Coupling of  Quantum Matter and Quantum Space-Time Degrees of Freedom