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2007•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

A global picture of quantum de Sitter space

Steven B. Giddings, Donald Marolf

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: de Sitter invariant special relativity, De Sitter universe, De Sitter space, Anti-de Sitter space, Physics, de Sitter–Schwarzschild metric, Mathematical physics, Observable

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