Pith. sign in

REVIEW 6 cited by

Complexity Equals (Almost) Anything

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2403.17475 v1 pith:7FFQ6PU6 submitted 2024-03-26 hep-th gr-qc

Complexity Equals (Almost) Anything

Robert C. Myers , Shan-Ming Ruan This is my paper
classification hep-th gr-qc
keywords arxivcomplexityobservablesclassgravitationalspacetimevolumeaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Recent investigations [arXiv:2111.02429][arXiv:2210.09647][arXiv:2304.05453] have introduced an infinite class of novel gravitational observables in Asymptotically anti-de Sitter (AdS) space that reside on codimension-one or -zero regions of the bulk spacetime. These observables encompass well-established holographic complexity measures such as the maximum volume of the extremal hypersurfaces and the action or spacetime volume of the Wheeler-DeWitt (WDW) patch. Furthermore, this family of observables exhibits two universal properties when applied to the thermofield double (TFD) state: they exhibit linear growth at late times and faithfully reproduce the switchback effect. This implies that any observable from this class has the potential to serve as a gravitational dual for the circuit complexity of boundary states.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

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

  1. Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas

    hep-th 2026-03 unverdicted novelty 7.0

    LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.

  2. Page transition for the complexity of an evaporating black hole

    hep-th 2026-07 conditional novelty 6.0

    The complexity of radiation from an evaporating black hole is argued to undergo a sharp Page-like transition, dominated after the Page time by the volume of an island in the entanglement wedge.

  3. A Timelike Quantum Focusing Conjecture

    hep-th 2026-04 unverdicted novelty 5.0

    A timelike quantum focusing conjecture implies a complexity-based quantum strong energy condition and a complexity bound analogous to the covariant entropy bound for suitable codimension-0 field theory complexity measures.

  4. Holographic complexity of conformal fields in global de Sitter spacetime

    hep-th 2026-04 unverdicted novelty 5.0

    Holographic complexity of CFTs in global dS_d is computed via volume and action prescriptions in AdS foliation and brane setups, then compared to results from static and Poincare patches.

  5. Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes

    hep-th 2026-04 unverdicted novelty 5.0

    Gauss-Bonnet corrections to the complete volume introduce a competition effect in static cases and prolong the critical time in two-sided shocks while the complexity growth rate stays governed by conserved momentum.

  6. Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes

    hep-th 2026-04 unverdicted novelty 5.0

    Gauss-Bonnet corrections to the complete volume proposal introduce a competition effect in static black holes while preserving momentum-governed growth rates and logarithmic scrambling times in dynamical Vaidya geometries.