Topological acceleration in the Universe (slides + audio)

The global topology of the spatial section of the Universe is currently unknown. It was first shown by Roukema et al (2007) that the existence of structure in the Universe implies effects of the global topology on local dynamics. Moreover, the effects of global topology on local dynamics, per the heuristic arguments used at the time, are topology dependent; different fundamental groups of homotopies give, in general, different dynamical effects. Thus, it appears that the global topology of the spatial section of our Universe, is, in principle, detectable by the the role of topological acceleration in the observed kinematics of the patterns of galaxies' peculiar velocities with respect to the comoving frame of a Friedmannian idealised reference model. The key argument for topological acceleration and later developments will be presented. Talk by B. Roukema @ASGRG2021, 3 Feb 2022 https://web.archive.org/web/20220208204431/https://www.asgrg2021.org/boudewijn-roukema