Spectral Dimension of the Universe

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, 1 figure, added reference

Scientific paper

10.1103/PhysRevLett.95.171301

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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