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Geometry of the quantum universe
Authors:J. Ambjø  rn,A. Gö  rlich,J. Jurkiewicz,R. Loll
Affiliation:1. The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark;2. Institute of Physics, Jagellonian University, Reymonta 4, PL 30-059 Krakow, Poland;3. Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands;4. Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo Ontario, Canada N2L 2Y5
Abstract:A quantum universe with the global shape of a (Euclidean) de Sitter spacetime appears as dynamically generated background geometry in the causal dynamical triangulation (CDT) regularisation of quantum gravity. We investigate the micro- and macro-geometry of this universe, using geodesic shell decompositions of spacetime. More specifically, we focus on evidence of fractality and global anisotropy, and on how they depend on the bare coupling constants of the theory.
Keywords:Quantum gravity   Monte Carlo simulations   Fractal structure
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