Miracles and complementarity in de Sitter space

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In this paper we consider a scenario, consisting of a de Sitter phase followed by a phase described by a scale factor a(t) tq, 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 Poincaré 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.