Does gravity prefer the Poincare dodecahedral space?

Details Does gravity prefer the Poincare dodecahedral space? Does gravity prefer the Poincare dodecahedral space?

2009-05-15

arxiv.org/abs/0905.2543v1

Int.J.Mod.Phys.D18:2237-2241,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

6 pages, Honorable Mention in 2009 Gravity Research Foundation essay competition

Scientific paper

10.1142/S0218271809015965

The missing fluctuations problem in cosmic microwave background observations is naturally explained by well-proportioned small universe models. Among the well-proportioned models, the Poincare dodecahedral space is empirically favoured. Does gravity favour 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 Poincare space, the effect is 10,000 times weaker still, i.e. the Poincare space is about 10^{10} times "better balanced" than ill-proportioned spaces. Both observations and weak limit dynamics select the Poincare space to be special.

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