Semiclassical Universe from First Principles
arXiv:hep-th/0411152 · doi:10.1016/j.physletb.2004.12.067
Abstract
Causal Dynamical Triangulations in four dimensions provide a background-independent definition of the sum over space-time geometries in nonperturbative quantum gravity. We show that the macroscopic four-dimensional world which emerges in the Euclidean sector of this theory is a bounce which satisfies a semiclassical equation. After integrating out all degrees of freedom except for a global scale factor, we obtain the ground state wave function of the universe as a function of this scale factor.
15 pages, 4 figures