The Price of Curiosity: Information Recovery in de Sitter Space

Abstract

Recent works have revealed that quantum extremal islands can contribute to the fine-grained entropy of black hole radiation reproducing the unitary Page curve. In this paper, we use these results to assess if an observer in de Sitter space can decode information hidden behind their cosmological horizon. By computing the fine-grained entropy of the Gibbons-Hawking radiation in a region where gravity is weak we find that this is possible, but the observer's curiosity comes at a price. At the same time the island appears, which happens much earlier than the Page time, a singularity forms which the observer will eventually hit. We arrive at this conclusion by studying Jackiw-Teitelboim gravity in de Sitter space. We emphasize the role of the observer collecting radiation, breaking the thermal equilibrium studied so far in the literature. By analytically solving for the backreacted geometry we show how an island appears in this out-of-equilibrium state.

v2: updated references. 25 pages including appendix, 10 figures

References in corpus (20)

• Black holes as mirrors: quantum information in random subsystems
• Massive Islands
• A Measure of de Sitter Entropy and Eternal Inflation
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Islands in de Sitter space
• Entanglement entropy in holographic moving mirror and Page curve
• Notes on islands in asymptotically flat 2d dilaton black holes
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Observations of Hawking radiation: the Page curve and baby universes
• Global symmetry, Euclidean gravity, and the black hole information problem
• Entanglement between two disjoint universes
• Effective entropy of quantum fields coupled with gravity
• Islands in Linear Dilaton Black Holes
• The Rise of Cosmological Complexity: Saturation of Growth and Chaos
• Cosmological singularities, entanglement and quantum extremal surfaces
• The Squeezed OTOC and Cosmology
• Quantum Circuit Complexity of Primordial Perturbations

Cited by in corpus (48)

• Inconsistency of Islands in Theories with Long-Range Gravity
• Holographic BCFTs and Communicating Black Holes
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• Replica wormholes and capacity of entanglement
• The FL bound and its phenomenological implications
• Black holes in dS${}_3$
• Islands in Flat-Space Cosmology
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• No Page Curves for the de Sitter Horizon
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• From the BTZ black hole to JT gravity: geometrizing the island
• Asymptotic Observables and the Swampland
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Page Curve of Effective Hawking Radiation
• The Cosmological Switchback Effect
• Complex geodesics in de Sitter space
• An Outsider's Perspective on Information Recovery in de Sitter Space
• Islands in Multiverse Models
• The Multiverse in an Inverted Island
• Island formula in Planck brane
• Defect extremal surfaces for entanglement negativity
• Bridging the static patches: de Sitter holography and entanglement
• Late-Time Correlators and Complex Geodesics in de Sitter Space
• Islands in Kerr-de Sitter spacetime and their flat limit
• Entanglement between two gravitating universes
• Entanglement between two evaporating black holes
• Entropy of Radiation with Dynamical Gravity
• Implication of island for inflation and primordial perturbations
• Islands and the de Sitter entropy bound
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Information paradox and island in quasi-de Sitter space
• A comment on a fine-grained description of evaporating black holes with baby universes
• Islands in Proliferating de Sitter Spaces
• Closed FRW holography: A time-dependent ER=EPR realization
• TCC bounds on the static patch of de Sitter space
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• On the Quantum Bousso Bound in JT gravity
• Shocks and Information Exchange in de Sitter Space
• Non-extremal Island in de Sitter Gravity
• The fate of Schwarzschild--de Sitter black holes: nonequilibrium evaporation
• The fate of Reissner--Nordström--de Sitter black holes: nonequilibrium discharge and evaporation
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model