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arXiv · 2007.13311

Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations

J. Ambjorn·Z. Drogosz·A. Görlich·J. Jurkiewicz
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Abstract

We investigate the geometry of a quantum universe with the topology of the four-torus. The study of non-contractible geodesic loops reveals that a typical quantum geometry consists of a small semi-classical toroidal bulk part, dressed with many outgrowths, which contain most of the four-volume and which have almost spherical topologies, but nevertheless are quite fractal.

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J. Ambjorn, Z. Drogosz, A. Görlich, J. Jurkiewicz. 2020-07-27. Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations. https://doi.org/10.1103/physrevd.103.086022

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