# An Inelastic Bound on Chaos

## TL;DR

This paper extends the chaos bound to inelastic out-of-time-ordered correlators, providing new insights into holographic theories and the role of gravity as the highest spin force.

## Contribution

It generalizes the chaos bound to inelastic correlators and non-hermitian operators, with implications for holography and the nature of gravity.

## Key findings

- Bound applies to inelastic correlators in holographic theories
- Inelastic scattering controls these correlators in the bulk
- Gravity emerges as the highest spin force in holography

## Abstract

We study a generalization of the chaos bound that applies to out-of-time-ordered correlators between four different operators. We prove this bound under the same assumptions that apply for the usual chaos bound and extend it to non-hermitian operators. In a holographic theory, these correlators are controlled by inelastic scattering in the bulk and we comment on implications. In particular, for holographic theories the bound together with the equivalence principle suggests that gravity is the highest spin force, and the strongest one with that spin.