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Black holes, information, and Hilbert space for quantum gravity

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FIG. 1. The Penrose diagram representing a black hole formed from a collapsing shell of matter (represented by the thick solid curve) which then evaporates
FIG. 3. A schematic depiction of the evolution of a black hole state formed by a collapse of matter
FIG. 4. The left panel shows the standard global spacetime picture for the formation and evaporation of a black hole, with the shaded region representing the spacetime region described by an infalling reference frame
FIG. 5. A schematic picture of a relation between the two descriptions based on two different reference frames of an old black hole formed by collapsing matter that initially had a well-defined classical configuration
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