Comments on the de Sitter Double Cone

TL;DR

This paper analyzes the double cone geometry in de Sitter space, showing that including static patch observers results in a linear ramp indicative of random matrix behavior, due to the relative time shift between clocks.

Contribution

It demonstrates that the double cone geometry in de Sitter space exhibits a linear ramp consistent with random matrix theory when static patch observers are considered.

Findings

The double cone leads to a linear ramp in spectral form factor.

The ramp is caused by the relative time shift between static patch observers.

Results align with predictions of random matrix behavior.

Abstract

We study the double cone geometry proposed by Saad, Shenker, and Stanford in de Sitter space. We demonstrate that with the inclusion of static patch observers, the double cone leads to a linear ramp consistent with random matrix behavior. This ramp arises from the relative time shift between two clocks located in opposite static patches.