Complexity equals anything for multi-horizon black holes

2025/06/12 by Hong-Yue Jiang, Yu-Xiao Liu, Jiang, Hong-Yue +1 · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2506.10398

openalex publication_date 2025/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the ``complexity equals anything" proposal with codimension-one and codimension-zero gravitational observables for multi-horizon black holes, using the Bardeen-AdS class black hole as an example. In particular, we compare the results with the ``complexity equals volume" (CV) proposal and find that the ``complexity equals anything" (C_gen) enables the probing of a more complete black hole interior, that is, all spacetime regions where the blackening factor f(r)<0. This is the advantage brought by the flexibility of this holographic complexity conjecture. In addition, we compute the complexity derived from various geometric quantities and show that these constructions can effectively differentiate the distinct interior regions of the black hole.

Citations

• Universal Time Evolution of Holographic and Quantum Complexity
• Geometry of Chord Intertwiner, Multiple Shocks and Switchback in Double-Scaled SYK
• The landscape of complexity measures in 2D gravity
• Singular Value Decomposition and Its Blind Spot for Quantum Chaos in Non-Hermitian Sachdev-Ye-Kitaev Models
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Non-perturbative Overlaps in JT Gravity: From Spectral Form Factor to Generating Functions of Complexity
• Krylov spread complexity as holographic complexity beyond JT gravity
• Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
• Krylov Complexity in Mixed Phase Space
• Wedge Holographic Complexity in Karch-Randall Braneworld
• On Chord Dynamics and Complexity Growth in Double-Scaled SYK
• Holographic Complexity in String and M Theory
• Kasner eons with matter: holographic excursions to the black hole singularity
• Krylov complexity of purification
• Thermodynamics and phase transition of Bardeen-AdS-class black holes
• Quantum Dynamics in Krylov Space: Methods and Applications
• Complexity Equals (Almost) Anything
• Holographic complexity of the extended Schwarzschild-de Sitter space
• Lorentzian threads and generalized complexities
• Entangled universes in dS wedge holography
• Holographic Complexity of Rotating Quantum Black Holes
• Generalized Volume Complexity in Gauss-Bonnet Gravity: Constraints and Phase Transitions
• Gravitation from optimized computation: Einstein and beyond
• A bulk manifestation of Krylov complexity
• Purification Complexity without Purifications
• The Second Law of Quantum Complexity
• Holographic Complexity Equals Bulk Action?
• Entanglement is not Enough
• Computational Complexity and Black Hole Horizons
• Computational complexity and black hole horizons
• Cool horizons for entangled black holes
• The Large-N Limit of Superconformal Field Theories and Supergravity

Cited by

• Lanczos Meets Orthogonal Polynomials
• Probing the Singularity of Scalar-Haired Black Holes with Holographic Complexity
• Explicit Connections Between Krylov and Nielsen Complexity
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes

Related

• Complexity Near Horizons
• A proof of holographic complexity conjecture: wormhole between horizon and singularity
• Aspects of holographic complexity and volume of the black holes
• Holographic Complexity Equals Bulk Action?
• Complexity, action, and black holes