Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
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Islands outside the horizon
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abstract
We consider an AdS$_2$ black hole in equilibrium with a bath, which we take to have a dual description as (0+1)-dimensional quantum mechanical system coupled to a (1+1)-dimensional field theory serving as the bath. We compute the entropies of both the quantum mechanical degrees of freedom and of the bath separately, while allowing contributions from entanglement wedge "islands". We find situations where the island extends {\it outside} the black hole horizon. This suggests possible causality paradoxes which we show are avoided because of the quantum focusing conjecture. Finally, we formulate a version of the information paradox for a black hole in contact with a bath in the Hartle-Hawking state, and demonstrate the role of islands in resolving this paradox.
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Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.
A phase transition in the quantum RT surface at the Page time derives the Page curve and enables entanglement wedge reconstruction of the black hole interior from Hawking radiation.
An Unruh-DeWitt detector interacting with a position-superposed BTZ black hole produces outcome probabilities containing a nonclassical contribution that distinguishes quantum superposition from classical mixtures, arising from singularities in the probed spectrum.
In 2D centaur geometries the entropy difference of a modular-conjugate Hawking-pair probe traces an inverse mini-Page curve that bottoms at τ≈β/8, marking when information begins to leave the cosmological horizon.
Fuzzball models with stretched horizons modify or eliminate entanglement islands depending on boundary conditions and cap geometry, producing information paradox analogues in some cases.
Entanglement revivals in evaporating black holes survive only when radiation intervals are larger than a critical length set by the exponential of the black-hole scrambling time.
Universal compact entanglement islands are obstructed by an entropy bound violation, implying region-dependent interior reconstruction.
In JT gravity, the capacity of entanglement detects finite-n structure in the factorized island saddle that the entropy misses at first nontrivial order.
Effective field theory yields model-independent corrections to Kerr black hole quasinormal modes that oscillate logarithmically near extremality, indicating discrete scale invariance.
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
Hillingar black holes thermodynamically mimic ordinary black holes of mass M, sharing temperature and entropy under thermal equilibrium.
Establishes holography of information in the CGHS model via asymptotic algebras and argues that islands violate commutativity of left- and right-boundary algebras.
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
citing papers explorer
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Replica wormholes and the black hole interior
Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
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Replica Wormholes and the Entropy of Hawking Radiation
Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.
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Entanglement Wedge Reconstruction and the Information Paradox
A phase transition in the quantum RT surface at the Page time derives the Page curve and enables entanglement wedge reconstruction of the black hole interior from Hawking radiation.
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Particle detector in a position-superposed black hole spacetime
An Unruh-DeWitt detector interacting with a position-superposed BTZ black hole produces outcome probabilities containing a nonclassical contribution that distinguishes quantum superposition from classical mixtures, arising from singularities in the probed spectrum.
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The mini-Page Curve in Cosmology
In 2D centaur geometries the entropy difference of a modular-conjugate Hawking-pair probe traces an inverse mini-Page curve that bottoms at τ≈β/8, marking when information begins to leave the cosmological horizon.
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Entanglement islands, fuzzballs and stretched horizons
Fuzzball models with stretched horizons modify or eliminate entanglement islands depending on boundary conditions and cap geometry, producing information paradox analogues in some cases.
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Entanglement Revivals and Scrambling for Evaporating Black Holes
Entanglement revivals in evaporating black holes survive only when radiation intervals are larger than a critical length set by the exponential of the black-hole scrambling time.
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Entropy bound and the non-universality of entanglement islands
Universal compact entanglement islands are obstructed by an entropy bound violation, implying region-dependent interior reconstruction.
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Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
In JT gravity, the capacity of entanglement detects finite-n structure in the factorized island saddle that the entropy misses at first nontrivial order.
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Kerr Black Hole Ringdown in Effective Field Theory
Effective field theory yields model-independent corrections to Kerr black hole quasinormal modes that oscillate logarithmically near extremality, indicating discrete scale invariance.
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The Remnant of an Evaporating Rotating Regular Black Hole from the Generalized Entropy in the Final Stage of Evaporation
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
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On Black Holes Surrounded by Radiation II: Thermodynamics
Hillingar black holes thermodynamically mimic ordinary black holes of mass M, sharing temperature and entropy under thermal equilibrium.
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Asymptotic Algebras and Holography of Information in CGHS Model
Establishes holography of information in the CGHS model via asymptotic algebras and argues that islands violate commutativity of left- and right-boundary algebras.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.