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Holographic Complexity in dS$_{d+1}$

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arxiv 2202.10684 v1 pith:ACXA76TQ submitted 2022-02-22 hep-th gr-qc

classification hep-thgr-qc
keywords complexityholographicgrowthapproachestimeuniversalappearsarxiv
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the CV, CA, and CV2.0 approaches to holographic complexity in $(d+1)$-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In particular, the holographic complexity exhibits `hyperfast' growth [arXiv:2109.14104] and appears to diverge with a universal power law at a (finite) critical time. We introduce a cutoff surface to regulate this divergence, and the subsequent growth of the holographic complexity is linear in time.

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Cited by 4 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. De Sitter Complexity Grows Linearly in the Static Patch

    hep-th 2025-08 conditional novelty 6.0 of 10

    Timelike extremal volume in the de Sitter static patch gives a holographic complexity that grows linearly with time and is proportional to horizon entropy times temperature.

  4. 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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