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Black holes from chaos

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arxiv 2501.06170 v1 pith:D6JCZ5ST submitted 2025-01-10 hep-th

classification hep-th
keywords blackchaoticbehaviorcoefficientscomputingfunctionsgreenhole
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the emergence of black hole geometry from chaotic systems at finite temperature. The essential input is the universal operator growth hypothesis, which dictates the asymptotic behavior of the Lanczos coefficients. Under this assumption, we map the chaotic dynamics to a discrete analog of the scattering problem on a black hole background. We give a simple prescription for computing the Green's functions, and explore some of the resulting analytic properties. In particular, assuming that the Lanczos coefficients are sufficiently smooth, we present evidence that the spectral density is a meromorphic function of frequency with no zeroes. Our formalism provides a framework for accurately computing the late time behavior of Green's functions in chaotic systems, and we work out several instructive examples.

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Cited by 7 Pith papers

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

  1. OPE = QNM

    hep-th 2026-07 conditional novelty 7.5 of 10

    OPE and QNM representations of the mixed retarded correlator overlap in complex time, giving an explicit map, sum rules, and new QNM asymptotics for large-N thermal CFTs.

  2. Analytic thermal bootstrap in momentum space: From thermal OPE to QNMs

    hep-th 2026-07 accept novelty 7.0 of 10

    KMS-symmetric thermal Polyakov blocks Fourier-transform into asymptotic retarded correlators, yielding inversion formulae that express thermal OPE coefficients in terms of quasinormal-mode frequencies under meromorphicity.

  3. Bootstrapping Euclidean Two-point Correlators

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    A semidefinite programming bootstrap is formulated for Euclidean two-point correlators in quantum mechanics, yielding rigorous bounds and low-lying spectrum extraction in the ungauged one-matrix model.

  4. The analytic bootstrap at finite temperature

    hep-th 2025-06 conditional novelty 7.0 of 10

    Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.

  5. Temperature dependence in Krylov space

    hep-th 2025-08 conditional novelty 6.0 of 10

    Temperature dependence of Lanczos coefficients is governed by two decoupled Toda chains, yielding a 'Krylov bootstrap' consistency criterion and exponentially small Krylov complexity at low temperature.

  6. High-Precision Bootstrap of Multimatrix Quantum Mechanics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Semidefinite bootstrap bounds fix the large-N ground-state energy and ⟨trX²⟩ of bosonic matrix quantum mechanics to up to eight significant digits.

  7. Quasinormal modes and complexity in saddle-dominated SU(N) spin systems

    hep-th 2025-06 conditional novelty 5.0 of 10

    A family of SU(2) and SU(3) Lipkin-Meshkov-Glick-type Hamiltonians reproduces de Sitter quasinormal-mode densities of states, and late-time probes reveal integrability beneath saddle-dominated scrambling.

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