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Spectral Dimension of the Universe

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arxiv hep-th/0505113 v2 pith:62PEJTOJ submitted 2005-05-12 hep-th gr-qchep-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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Cited by 3 Pith papers

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  1. Cosmology of fractional gravity

    gr-qc 2026-04 unverdicted novelty 7.0

    Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

  2. Spontaneous symmetry breaking on graphs and lattices

    cond-mat.dis-nn 2025-12 unverdicted novelty 7.0

    Spontaneous symmetry breaking on graphs and lattices is controlled by the spectral dimension and generalizations of resistance distance and the Kirchhoff index.

  3. Causal Dynamical Triangulations: New Lattice Theory of Quantum Gravity

    hep-th 2026-04 unverdicted novelty 6.0

    Causal Dynamical Triangulations regularizes the gravitational path integral via causal triangulations, enabling Monte Carlo simulations that produce an emergent de Sitter universe with short-distance spectral dimensio...