A global picture of quantum de Sitter space
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Perturbative gravity about a de Sitter background motivates a global picture of quantum dynamics in `eternal de Sitter space,' the theory of states which are asymptotically de Sitter to both future and past. Eternal de Sitter physics is described by a finite dimensional Hilbert space in which each state is precisely invariant under the full de Sitter group. This resolves a previously-noted tension between de Sitter symmetry and finite entropy. Observables, implications for Boltzmann brains, and Poincare recurrences are briefly discussed.
17 pages, 1 figure. v2: minor changes, references added. v3: minor changes to correspond to PRD version
17 pages, 1 figure. v2: minor changes, references added. v3: minor changes to correspond to PRD version