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arxiv: hep-th/0505113 · v2 · submitted 2005-05-12 · ✦ hep-th · gr-qc· hep-lat

Spectral Dimension of the Universe

J. Ambjorn (NBI Copenhagen , U. Utrecht) , J. Jurkiewicz (U. Krakow) , R. Loll (U. Utrecht) This is my paper
classification ✦ hep-th gr-qchep-lat
keywords quantumdimensiongravityspectraluniverseappearscausalconclude
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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.

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