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On the Mutual Information in Hawking Radiation

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abstract

We compute the mutual information of two Hawking particles emitted consecutively by an evaporating black hole. Following Page, we find that the mutual information is of order exp(-S) where S is the entropy of the black hole. We speculate on implications for black hole unitarity, in particular on a possible failure of locality at large distances.

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2024 1

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Black Hole Multi-Entropy Curves

hep-th · 2024-12-10 · conditional · novelty 5.0

For a Haar-random model of an evaporating black hole, the q-partite Renyi multi-entropy of the black hole plus q-1 radiation subsystems peaks at a multi-entropy time later than the Page time and does not vanish at complete evaporation.

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  • Black Hole Multi-Entropy Curves hep-th · 2024-12-10 · conditional · none · ref 6 · internal anchor

    For a Haar-random model of an evaporating black hole, the q-partite Renyi multi-entropy of the black hole plus q-1 radiation subsystems peaks at a multi-entropy time later than the Page time and does not vanish at complete evaporation.