Puzzles and resolutions of information duplication in de Sitter space

In this paper we consider a scenario consisting of a de Sitter phase followed by a phase described by a scale factor a(t)similar tot(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 Poincare recurrences plays a crucial role in the resolution of the paradox. This is suggested by the fact that the time it takes for an observer to actually experience information duplication is of the order of the recurrence time for the de Sitter phase in question.