Quantum probabilities for inflation from holography

Journal Article · Wed Jan 01 00:00:00 EST 2014 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2014/01/015· OSTI ID:22369825

Hartle, James B. ^[1]; Hawking, S. W. ^[2]; Hertog, Thomas ^[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)

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.

• OSTI ID: 22369825
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

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