Shocks and Information Exchange in de Sitter Space

TL;DR

This paper explores how information from the cosmological horizon in de Sitter space can be recovered by an antipodal observer, using a procedure that involves entanglement and the Bunch-Davies vacuum, with implications for the black hole information paradox.

Contribution

It extends previous work to describe a bulk procedure for information transfer in de Sitter space, relying on entanglement and the Bunch-Davies vacuum, avoiding cloning paradoxes.

Findings

Information transfer occurs after a scrambling time proportional to the inverse Hubble constant and entropy.

The procedure depends on the Bunch-Davies vacuum state as a thermofield double.

It provides a way to avoid cloning paradoxes in de Sitter space.

Abstract

We discuss some implications of recent progress in understanding the black hole information paradox for complementarity in de Sitter space. Extending recent work by two of the authors, we describe a bulk procedure that allows information expelled through the cosmological horizon to be received by an antipodal observer. Generically, this information transfer takes a scrambling time $t = H^{-1}\log(S_{\rm dS})$. We emphasize that this procedure relies crucially on selection of the Bunch-Davies vacuum state, interpreted as the thermofield double state that maximally entangles two antipodal static patches. The procedure also requires the presence of an (entangled) energy reservoir, created by the collection of Hawking modes from the cosmological horizon. We show how this procedure avoids a cloning paradox and comment on its implications.