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Complexity and typical microstates

2019/05/15 by Simon F. Ross
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Cosmology and Gravitation Theories #Divergence (linguistics) #Dual (grammatical number) #Geometry #Holography #Horizon #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Quantum mechanics #Statistical physics #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.100.066014

published as Phys. Rev. D 100, 066014 (2019) · 12 pages

arxiv created 2019/05/15 · openalex publication_date 2019/09/17 · arxiv updated 2019/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Typical black hole microstates in AdS/CFT were recently conjectured to have a geometrical dual with a smooth horizon and a portion of a second asymptotic region. I consider the application of the holographic complexity conjectures to this geometry. The holographic calculation leads to divergent values for the complexity; I argue that this classical divergence is consistent with expectations for typical microstates.

Citations