Some spaces are more equal than others

TL;DR

This paper explores how the global topology of the universe's space can influence its dynamics, suggesting that different constant curvature 3-manifolds may have distinct residual acceleration effects, potentially affecting cosmological models.

Contribution

It introduces a heuristic argument showing that global topology can have feedback effects on universe dynamics, challenging previous assumptions.

Findings

Residual acceleration effects vary between different 3-manifolds

Global topology may influence the selection of the universe's shape

Different curvature manifolds exhibit distinct algebraic effects

Abstract

It has generally been thought that in perturbed Friedmann-Lemaitre-Robertson-Walker models of the Universe, global topology should not have any feedback effects on dynamics. However, a weak-field limit heuristical argument, assuming a finite particle horizon for the transmission of gravitational signals, shows that a residual acceleration effect can occur. The nature of this effect differs algebraically between different constant curvature 3-manifolds. This potentially provides a selection mechanism for the 3-manifold of comoving space.