Miracles and complementarity in de Sitter space

TL;DR

This paper explores how Poincaré recurrences might resolve the information paradox in a de Sitter inflationary model, with implications for understanding the early universe and cosmic microwave background radiation.

Contribution

It introduces the role of Poincaré recurrences in resolving the information paradox in de Sitter space within an inflationary toy model.

Findings

Poincaré recurrences are crucial for paradox resolution.

The scenario models a transition from de Sitter to power-law expansion.

Implications discussed for inflation and CMBR observations.

Abstract

In this paper we consider a scenario, consisting of a de Sitter phase followed by a phase described by a scale factor $a(t)\sim t^{q}$, where $1/3<q<1$, which can be viewed as an inflationary toy model. It is argued that this scenario naively could lead to an information paradox. We propose that the phenomenon of Poincar\'{e} recurrences plays a crucial role in the resolution of the paradox. We also comment on the relevance of these results to inflation and the CMBR.