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 which have almost spherical topologies, but nevertheless are quite fractal.

Automated summary

The study reveals that the geometry of a quantum universe with a four-torus topology consists of a small semiclassical toroidal bulk part surrounded by many outgrowths with almost spherical topologies, yet still quite fractal.