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

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Abstract
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.
Funding Information
  • Forskerakademiet (7014-00066B)
  • Narodowe Centrum Nauki (2019/32/T/ST2/00390, 2015/17/D/ST2/03479, 2019/33/B/ST2/00589)

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