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Entanglement in De Sitter Space

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arxiv 2201.03603 v1 pith:2MIH7MLQ submitted 2022-01-10 hep-th gr-qc

Edgar Shaghoulian , Leonard Susskind This is my paper · ORCID
classification hep-thgr-qc
keywords proposalscitebilayermonolayerotherresultssitterspace
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This paper expands on two recent proposals, \cite{Susskind:2021dfc}\cite{Susskind:2021esx} and \cite{Shaghoulian:2021cef}, for generalizing the Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulas to de Sitter space. The proposals (called the monolayer and bilayer proposals) are similar; both replace the boundary of AdS by the boundaries of static-patches--in other words event horizons. After stating the rules for each, we apply them to a number of cases and show that they yield results expected on other grounds. The monolayer and bilayer proposals often give the same results, but in one particular situation they disagree. To definitively decide between them we need to understand more about the nature of the thermodynamic limit of holographic systems.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons

    hep-th 2025-08 conditional novelty 7.0 of 10

    Pole-skipping in Schwarzschild-de Sitter predicts superluminal and imaginary butterfly velocities, confirmed by shock wave analysis, hinting at nonlocal and non-Hermitian dual dynamics.

  2. Holographic timelike complexity for de Sitter

    hep-th 2026-07 conditional novelty 6.0 of 10

    Timelike subregion volume complexity in de Sitter grows exponentially early and diverges hyperfast at a maximal duration; near the SdS black hole horizon the divergence is replaced by slower, claimed-nonlinear growth.

  3. Probing the singularity at the holographic screen via $q$-holography

    hep-th 2025-07 conditional novelty 6.0 of 10

    The probe-regime two-point function of sinh dilaton gravity matches the q-deformed Ward identity correlator, indicating an emergent quantum hyperbolic disk with SLq(2) isometry near the holographic boundary.

  4. The fate of Schwarzschild--de Sitter black holes: nonequilibrium evaporation

    hep-th 2025-11 conditional novelty 5.0 of 10

    In the Unruh–de Sitter state the anomaly flux J=(N/48π)(κ_b²−κ_c²) is positive throughout the static patch, so every neutral SdS black hole evaporates monotonically and only the Nariai limit has zero flux.

  5. The Baby Universe is Fine and the CFT Knows It: On Holography for Closed Universes

    hep-th 2025-07 conditional novelty 5.0 of 10

    A closed universe in AdS/CFT is not ruled out by recent SWAP-test arguments; the one-dimensional Hilbert space seen from the CFT is external indistinguishability, and CFT data can reconstruct the closed universe's geometry.

  6. A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification

    cs.AI 2025-08 unverdicted novelty 4.0 of 10

    The claimed RL safety verification framework is absent from the manuscript; the body text is an unrelated high-energy physics paper about de Sitter horizon chaos.

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