The Trouble with de Sitter Space

Details The Trouble with de Sitter Space The Trouble with de Sitter Space

2002-12-17

arxiv.org/abs/hep-th/0212209v3

JHEP 0307:056,2003

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 1 figure. v2: added fifth section with comments on long time stability of de Sitter space, in which we argue that th

Scientific paper

10.1088/1126-6708/2003/07/056

In this paper we assume the de Sitter Space version of Black Hole Complementarity which states that a single causal patch of de Sitter space is described as an isolated finite temperature cavity bounded by a horizon which allows no loss of information. We discuss the how the symmetries of de Sitter space should be implemented. Then we prove a no go theorem for implementing the symmetries if the entropy is finite. Thus we must either give up the finiteness of the de Sitter entropy or the exact symmetry of the classical space. Each has interesting implications for the very long time behavior. We argue that the lifetime of a de Sitter phase can not exceed the Poincare recurrence time. This is supported by recent results of Kachru, Kallosh, Linde and Trivedi.

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