Spectral Dimension of the Universe
arXiv:hep-th/0505113 · doi:10.1103/PhysRevLett.95.171301
Abstract
We measure the spectral dimension of universes emerging from nonperturbative quantum gravity, defined through state sums of causal triangulated geometries. While four-dimensional on large scales, the quantum universe appears two-dimensional at short distances. We conclude that quantum gravity may be "self-renormalizing" at the Planck scale, by virtue of a mechanism of dynamical dimensional reduction.
10 pages, 1 figure, added reference