DOES GRAVITY PREFER THE POINCARE DODECAHEDRAL SPACE?

摘要

The missing fluctuations problem in cosmic microwave background observations is naturally explained by well-proportioned small universe models. Among these models, the Poincar′e dodecahedral space is empirically favored. Does gravity favor this space? The residual gravity effect is the residual acceleration induced by weak limit gravity from multiple topological images of a massive object on a nearby negligible mass test object. At the present epoch, the residual gravity effect is about a million times weaker in three of the well-proportioned spaces than in ill-proportioned spaces. However, in the Poincar′e space, the effect is 10,000 times weaker still, i.e. the Poincar′e space is about 1010 times “better-balanced” than ill-proportioned spaces. Both observations and weak limit dynamics select the Poincar′e space to be special.