Collisions of localized shocks and quantum circuits

TL;DR

This paper explores the collision of localized shockwaves inside black holes using holographic duality, revealing how quantum circuit dynamics predict complex gravitational phenomena.

Contribution

It introduces a novel boundary quantum circuit description of shockwave collisions inside black holes, linking circuit behavior to gravitational geometry.

Findings

Circuit analysis predicts four regimes of shock collision behavior.

Quantum perturbations grow exponentially and ballistically.

Circuit predictions align with gravity calculations of non-linear effects.

Abstract

We study collisions between localized shockwaves inside a black hole interior. We give a holographic boundary description of this process in terms of the overlap of two growing perturbations in a shared quantum circuit. The perturbations grow both exponentially as well as ballistically. Due to a competition between different physical effects, the circuit analysis shows dependence on the transverse locations and exhibits four regimes of qualitatively different behaviors. On the gravity side we study properties of the post-collision geometry, using exact calculations in simple setups and estimations in more general circumstances. We show that the circuit analysis offers intuitive and surprisingly accurate predictions about gravity computations involving non-linear features of general relativity.