No Page Curves for the de Sitter Horizon

Abstract

We investigate the fine-grained entropy of the de Sitter cosmological horizon. Starting from three-dimensional pure de Sitter space, we consider a partial reduction approach, which supplies an auxiliary system acting as a heat bath both at future infinity and inside the static patch. This allows us to study the time-dependent entropy of radiation collected for both observers in the out-of-equilibrium Unruh-de Sitter state, analogous to black hole evaporation for a cosmological horizon. Central to our analysis in the static patch is the identification of a weakly gravitating region close to the past cosmological horizon; this is suggestive of a relation between observables at future infinity and inside the static patch. We find that in principle, while the meta-observer at future infinity naturally observes a pure state, the static patch observer requires the use of the island formula to reproduce a unitary Page curve. However, in practice, catastrophic backreaction occurs at the Page time, and neither observer will see unitary evaporation.

arXiv comment33 pages, 8 figures. v2: references added, minor edits. v3: as published in JHEP. Minor edits. Comments and clarifications added, regarding e.g. the static patch backreacted dilaton, and the weakly-coupled radiation region

References in corpus (47)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Black holes and the butterfly effect
• Black holes as mirrors: quantum information in random subsystems
• The dS/CFT Correspondence
• Information in Black Hole Radiation
• Fast Scramblers
• The Stretched Horizon and Black Hole Complementarity
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• An Investigation of AdS${}_2$ Backreaction and Holography
• Quantum Gravity In De Sitter Space
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Time Dependence of Hawking Radiation Entropy
• Massive Islands
• The Trouble with de Sitter Space
• Information Transfer with a Gravitating Bath
• Entanglement islands in higher dimensions
• Holographic entanglement beyond classical gravity
• Islands in Schwarzschild black holes
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• An Information Paradox and Its Resolution in de Sitter Holography
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Islands in de Sitter space
• Low-dimensional de Sitter quantum gravity
• Notes on islands in asymptotically flat 2d dilaton black holes
• Inflation, holography, and the choice of vacuum in de Sitter space
• De Sitter Holography and Entanglement Entropy
• The Holographic Nature of Null Infinity
• Island in the Presence of Higher Derivative Terms
• Elliptic de Sitter Space: dS/Z_2
• A New Area Law in General Relativity
• Pure de Sitter space and the island moving back in time
• The Generalized Second Law implies a Quantum Singularity Theorem
• The Price of Curiosity: Information Recovery in de Sitter Space
• De Sitter Holography with a Finite Number of States
• From the BTZ black hole to JT gravity: geometrizing the island
• Entropy, Entanglement and Swampland Bounds in DS/dS
• On Distinguishability of Black Hole Microstates
• Back(reaction) to the Future in the Unruh-de Sitter State
• Shocks and Information Exchange in de Sitter Space

Cited by in corpus (29)

• 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
• Black holes in dS${}_3$
• Islands in Flat-Space Cosmology
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• An Outsider's Perspective on Information Recovery in de Sitter Space
• Defect extremal surfaces for entanglement negativity
• Island formula in Planck brane
• JT Gravity in de Sitter Space and the Problem of Time
• Bridging the static patches: de Sitter holography and entanglement
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Islands in Kerr-de Sitter spacetime and their flat limit
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Entropy of Radiation with Dynamical Gravity
• Islands and the de Sitter entropy bound
• Implication of island for inflation and primordial perturbations
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Islands in Proliferating de Sitter Spaces
• Closed FRW holography: A time-dependent ER=EPR realization
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• On the Quantum Bousso Bound in JT gravity
• Non-extremal Island in de Sitter Gravity
• Supersymmetric $d{S}_n$ solutions for $n\ge 5$ in $D=11$ supergravity
• The quantum de Sitter root of quasi de Sitter observables: a pedagogical review
• Holography for de Sitter bubble geometries
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model