Complexity = Anything Can Grow Forever in de Sitter

• DOI: 10.48550/arxiv.2305.11280
• Publication Date: 2023-01-01
• Authors: Sergio E. Aguilar...; Michał P. Heller; Silke Van der Sch...
• Keywords: Anti-de Sitter space

Recent developments in anti-de Sitter holography point towards the association of an infinite class covariant objects, simplest one being codimension-one extremal volumes, with quantum computational complexity microscopic description. One defining features these gravitational proposals is describing persistent growth black hole interior classical gravity. It tempting to assume that apply also gravity outside their native setting which case they may reveal new truths about cases much less understood microscopics. first steps this direction de static patch demonstrated a very different behavior from deemed hyperfast growth: diverging complexification rate after finite time. We show feature not necessity and among there are ones, predict linear or exponential late-time behaviors for patches persisting classically forever.