Properties of dynamical fractal geometries in the model of causal dynamical triangulations

Properties of dynamical fractal geometries in the model of causal dynamical triangulations

We investigate the geometry of a quantum universe with the topology of the four-torus. The study of noncontractible geodesic loops reveals that a typical quantum geometry consists of a small semiclassical toroidal bulk part, dressed with many outgrowths, which contain most of the four-volume and whi...

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Veröffentlicht in:Physical review. D 2021-04, Vol.103 (8), p.1, Article 086022
Hauptverfasser: Ambjorn, J., Drogosz, Z., Görlich, A., Jurkiewicz, J.
Format: Artikel
Sprache:eng
Schlagworte:
Differential geometry
Fractal geometry
Fractal models
Fractals
Topology
Toruses
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Zusammenfassung:We investigate the geometry of a quantum universe with the topology of the four-torus. The study of noncontractible geodesic loops reveals that a typical quantum geometry consists of a small semiclassical 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.103.086022