Complexity as a holographic probe of strong cosmic censorship

TL;DR

This paper proposes a new bound on the complexity growth of charged black holes and explores its implications for holographic complexity and cosmic censorship, revealing a relation between boundary and horizon cutoffs.

Contribution

It introduces a novel expression for Lloyd's bound applicable to charged black holes and links holographic complexity with strong cosmic censorship.

Findings

Established a relation between UV and behind-horizon cutoffs.

Demonstrated consistency with large N partition function factorization.

Proposed a holographic interpretation of strong cosmic censorship.

Abstract

Based on reasonable assumptions, we propose a new expression for Lloyd's bound, which confines the complexity growth of charged black holes. We then revisit holographic complexity for charged black branes in the presence of a finite cutoff. Using the proposed Lloyd's bound we find a relation between the UV and the behind the horizon cutoff. This is found to be consistent with the factorization of the partition function at leading order in large N. We argue that the result may be thought of as a holographic realization of strong cosmic censorship.