Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity

• URL: http://arxiv.org/abs/2605.25178v1
• Date: Sun, 24 May 2026 17:19:08 GMT
• Title: Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity
• Abstract summary: We argue that the SYK model provides a conditional realization of Cryptographic Censorship in JT gravity.<n>By using the Weingarten calculus and random matrix universality, we prove that the SYK disorder ensemble is an approximate unitary $k$-design for all $k=poly(N)$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We argue that the SYK model provides a conditional realization of Cryptographic Censorship in JT gravity. By using the Weingarten calculus and random matrix universality, we prove that the SYK disorder ensemble is an approximate unitary $k$-design for all $k=\poly(N)$, with deviation controlled by the spectral form factor. We then formulate the planted-SYK hardness conjecture and provide evidence from spectral universality and the low-degree polynomial framework. Under this conjecture, the approximate design becomes a gravitationally pseudorandom unitary. Together with the efficient causal wedge reconstruction in JT gravity, this leads to the conclusion that typical states in the SYK microcanonical window must have event horizons in their bulk duals, with the horizonless fraction doubly exponentially small. We further identify the regularized geodesic length of the maximal interior slice as the explicit distinguishing operator. Its prediction gap grows linearly with time due to the stretching of the black hole interior, linking Cryptographic Censorship to the complexity equals volume conjecture.

Related papers

• q-Askey Deformations of Double-Scaled SYK [0.0]
  We study families of deformations of the double-scaled SYK (DSSYK) model.<n>By increasing one of the deformation parameters, the models eventually exhibit discrete energy levels.<n>We discuss connections between our results and the emergence of baby universes in the bulk.
  arXiv  Detail & Related papers  (2026-05-13T18:00:01Z)
• Regularized Online RLHF with Generalized Bilinear Preferences [68.44113000390544]
  We consider the problem of contextual online RLHF with general preferences.<n>We adopt the Generalized Bilinear Preference Model to capture preferences via low-rank, skew-symmetric matrices.<n>We prove that the dual gap of the greedy policy is bounded by the square of the estimation error.
  arXiv  Detail & Related papers  (2026-02-26T15:27:53Z)
• Stability and Generalization of Push-Sum Based Decentralized Optimization over Directed Graphs [55.77845440440496]
  Push-based decentralized communication enables optimization over communication networks, where information exchange may be asymmetric.<n>We develop a unified uniform-stability framework for the Gradient Push (SGP) algorithm.<n>A key technical ingredient is an imbalance-aware generalization bound through two quantities.
  arXiv  Detail & Related papers  (2026-02-24T05:32:03Z)
• Parallel Complex Diffusion for Scalable Time Series Generation [50.01609741902786]
  PaCoDi is a spectral-native architecture that decouples generative modeling in the frequency domain.<n>We show that PaCoDi outperforms existing baselines in both generation quality and inference speed.
  arXiv  Detail & Related papers  (2026-02-10T14:31:53Z)
• Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography [0.0]
  We study the properties of the double-scaled SYK (DSSYK) model under chord Hamiltonian deformations.<n>We concretely realize the cosmological stretched horizon proposal in de Sitter holography by Susskind.
  arXiv  Detail & Related papers  (2026-02-05T19:00:00Z)
• Quantum Ising Model on $(2+1)-$Dimensional Anti$-$de Sitter Space using Tensor Networks [37.108493798440655]
  We study the quantum Ising model on (2+1)-dimensional anti-de Sitter space using Matrix Product States (MPS) and Matrix Product Operators (MPOs)<n>Our spatial lattices correspond to regular tessellations of hyperbolic space with coordination number seven.<n>We find the ground state of this model using the Density Matrix Renormalization Group (DMRG) algorithm which allowed us to probe lattices that range in size up to 232 sites.
  arXiv  Detail & Related papers  (2025-12-23T23:29:39Z)
• Exploring the Spectral Edge in SYK Models [0.12277343096128711]
  Previous work on Jackiw-Teitelboim (JT) gravity has shown that, at low temperatures, the annealed entropy becomes negative and departs from the quenched entropy.<n>We show similar effects in supersymmetric wormholes filled with matter, which is modeled by the $mathcal N = 2$ supersymmetric SYK model.
  arXiv  Detail & Related papers  (2025-10-09T05:30:34Z)
• Symmetry Sectors in Chord Space and Relational Holography in the DSSYK [0.0]
  We study constraints to gauge symmetry sectors in the chord Hilbert space of the double-scaled SYK (DSSYK) with matter.<n>These sectors include chord parity symmetry, corresponding to End-Of-The-World (ETW) branes and Euclidean wormholes in sine dilaton gravity.<n>We deduce the holographic dictionary by matching geodesic lengths in the bulk with the spread complexity of the parity-gauged DSSYK.
  arXiv  Detail & Related papers  (2025-06-26T16:32:04Z)
• Spread complexity and the saturation of wormhole size [0.6291443816903801]
  Recent proposals equate the size of Einstein-Rosen bridges in JT gravity to spread complexity of a dual, double-scaled SYK theory (DSSYK)<n>We show that the auxiliary chord basis'' of these proposals is an extrapolation from a sub-exponential part of the finite-dimensional physical Krylov basis of a spreading thermofield double state.<n>We non-perturbatively extend the identification of ER bridge size and spread complexity to the complete Hilbert space, and show that it saturates at late times.
  arXiv  Detail & Related papers  (2024-12-02T23:46:22Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
  We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
  arXiv  Detail & Related papers  (2022-06-17T12:14:33Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.