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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Information in Black Hole Radiation
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abstract
If black hole formation and evaporation can be described by an $S$ matrix, information would be expected to come out in black hole radiation. An estimate shows that it may come out initially so slowly, or else be so spread out, that it would never show up in an analysis perturbative in $M_{Planck}/M$, or in 1/N for two-dimensional dilatonic black holes with a large number $N$ of minimally coupled scalar fields.
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Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's entanglement wedge.
In JT gravity with an end-of-the-world brane, the renormalized interior length — read as subsystem complexity — grows linearly, peaks around the Page time, and then decays exponentially, with growing relative fluctuations afterward.
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
A new singularity theorem establishes that evaporating black holes in semiclassical gravity are singular under weaker causality assumptions and the Generalized Second Law.
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.
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
Derives closed expressions for power moments of entanglement entropy of random states via Schur-Weyl duality and S_N character theory.
Hawking radiation of a large black hole terminates near the scrambling time under SFT-style nonlocal smearing, producing a macroscopic remnant instead of complete evaporation.
An on-shell framework derives local detailed balance and the black hole thermal spectrum from spin universality and unitarity.
Six-dimensional primordial black holes with memory burden effects can survive as light dark matter in a two-extra-dimension model at the 10 TeV scale, producing high-multiplicity thermal events at future colliders.
Universal compact entanglement islands are obstructed by an entropy bound violation, implying region-dependent interior reconstruction.
Establishes holography of information in the CGHS model via asymptotic algebras and argues that islands violate commutativity of left- and right-boundary algebras.
A loop-quantum-gravity-inspired phenomenological model of stellar collapse resolves central and shell-crossing singularities via local quantum repulsion, resulting in a stable outgoing solitary matter wave that ejects the entire stellar mass as a fuzzy-nova.
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islands that restore the Page curve after a critical time.
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.
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
Presents cavity-based effective descriptions for scalar radiation from black holes and modified models, linking them to wave profiles and accumulated phase shifts for detecting small deviations from classical behavior.
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
citing papers explorer
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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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The Page curve of Hawking radiation from semiclassical geometry
Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's entanglement wedge.
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Evaporating Black Hole Interior and Complexity Evolution
In JT gravity with an end-of-the-world brane, the renormalized interior length — read as subsystem complexity — grows linearly, peaks around the Page time, and then decays exponentially, with growing relative fluctuations afterward.
-
Probing Evaporating Black Holes with Modular Flow in SYK
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
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A Quantum Singularity Theorem for the Evaporating Black Hole
A new singularity theorem establishes that evaporating black holes in semiclassical gravity are singular under weaker causality assumptions and the Generalized Second Law.
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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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Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
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Revisiting the Page curve and its moments. A combinatorial approach
Derives closed expressions for power moments of entanglement entropy of random states via Schur-Weyl duality and S_N character theory.
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Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT
Hawking radiation of a large black hole terminates near the scrambling time under SFT-style nonlocal smearing, producing a macroscopic remnant instead of complete evaporation.
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Black Hole Thermodynamics Meets On-Shell Amplitudes: Local Detailed Balance and Thermal Spectrum from Spin Universality and Unitarity
An on-shell framework derives local detailed balance and the black hole thermal spectrum from spin universality and unitarity.
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Micron-sized Extra Dimensions and Primordial Black Holes: Charged, Rotating, and Memory Burdened
Six-dimensional primordial black holes with memory burden effects can survive as light dark matter in a two-extra-dimension model at the 10 TeV scale, producing high-multiplicity thermal events at future colliders.
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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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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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Fuzzy-novae
A loop-quantum-gravity-inspired phenomenological model of stellar collapse resolves central and shell-crossing singularities via local quantum repulsion, resulting in a stable outgoing solitary matter wave that ejects the entire stellar mass as a fuzzy-nova.
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The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
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Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islands that restore the Page curve after a critical time.
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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.
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Exponentially Long Evaporation of Noncommutative Black Hole
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
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Deriving effective descriptions and signal predictions for dynamical gravitational systems
Presents cavity-based effective descriptions for scalar radiation from black holes and modified models, linking them to wave profiles and accumulated phase shifts for detecting small deviations from classical behavior.
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Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
-
Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.