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Island Finder and Entropy Bound

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arxiv 2101.11648 v3 pith:BN54L645 submitted 2021-01-27 hep-th gr-qc

Raphael Bousso , Arvin Shahbazi-Moghaddam This is my paper · ORCID
classification hep-thgr-qc
keywords entropyislandboundderivequantumargumentavailableblack
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Identifying an entanglement island requires exquisite control over the entropy of quantum fields, which is available only in toy models. Here we present a set of sufficient conditions that guarantee the existence of an island and place an upper bound on the entropy computed by the island rule. This is enough to derive the main features of the Page curve for an evaporating black hole in any spacetime dimension. Our argument makes use of Wall's maximin formulation and the Quantum Focusing Conjecture. As a corollary, we derive a novel entropy bound.

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  1. An apologia for islands

    hep-th 2025-06 conditional novelty 6.0 of 10

    Entanglement islands and Page curves can arise in massless gravity without an external bath, and compactly supported gauge-invariant operators exist in islands around generic symmetry-breaking black hole backgrounds.

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