English

Spectral Dimension of the Universe

High Energy Physics - Theory 2010-04-06 v2 General Relativity and Quantum Cosmology High Energy Physics - Lattice

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.

Keywords

Cite

@article{arxiv.hep-th/0505113,
  title  = {Spectral Dimension of the Universe},
  author = {J. Ambjorn and J. Jurkiewicz and R. Loll},
  journal= {arXiv preprint arXiv:hep-th/0505113},
  year   = {2010}
}

Comments

10 pages, 1 figure, added reference