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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 Poincar\'e recurrences are briefly discussed.
Giddings et al. (Mon,) studied this question.
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