Quantum Probabilities for Inflation from Holography

Abstract

The evolution of the universe is determined by its quantum state. The wave function of the universe obeys the constraints of general relativity and in particular the Wheeler-DeWitt equation (WDWE). For non-zero Λ, we show that solutions of the WDWE at large volume have two domains in which geometries and fields are asymptotically real. In one the histories are Euclidean asymptotically anti-de Sitter, in the other they are Lorentzian asymptotically classical de Sitter. Further, the universal complex semiclassical asymptotic structure of solutions of the WDWE implies that the leading order in \hbar quantum probabilities for classical, asymptotically de Sitter histories can be obtained from the action of asymptotically anti-de Sitter configurations. This leads to a promising, universal connection between quantum cosmology and holography.

11 pages, 1 fig; v2:changes to emphasize connection with holography

References in corpus (4)

• The Classical Universes of the No-Boundary Quantum State
• The No-Boundary Measure of the Universe
• Holographic No-Boundary Measure
• Inflation with negative potentials and the signature reversal symmetry

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