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Title: Quantum probabilities for inflation from holography

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 h-bar 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.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Physics, University of California, Santa Barbara, 93106 (United States)
  2. DAMTP, CMS, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom)
  3. Institute for Theoretical Physics, KU Leuven, Leuven, 3001 (Belgium)
Publication Date:
OSTI Identifier:
22369825
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER GROUP; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; DE SITTER GROUP; DE SITTER SPACE; EUCLIDEAN SPACE; EVOLUTION; GENERAL RELATIVITY THEORY; GEOMETRY; JOINTS; LIMITING VALUES; QUANTUM COSMOLOGY; QUANTUM STATES; SEMICLASSICAL APPROXIMATION; UNIVERSE; WAVE FUNCTIONS COSMOLOGICAL INFLATION