Addendum to Fast Scramblers

TL;DR

This paper extends the concept of fast scrambling to de Sitter and Rindler spaces, proposing a matrix quantum mechanics model at finite temperature as their holographic description, and discusses qualitative features derived from this approach.

Contribution

It introduces the idea that de Sitter and Rindler spaces are fast scramblers and suggests a matrix quantum mechanics model as their holographic dual.

Findings

De Sitter and Rindler spaces are identified as fast scramblers.

Proposes a matrix quantum mechanics at finite temperature as holographic description.

Qualitative features of these spaces are explained from the matrix perspective.

Abstract

This paper is an addendum to [arXiv:0808.2096] in which I point out that both de Sitter space and Rindler space are fast scramblers. This fact naturally suggests that the holographic description of a causal patch of de Sitter space may be a matrix quantum mechanics at finite temperature. The same can be said of Rindler space. Some qualitative features of these spaces can be understood from the matrix description.