Dodecahedral space topology as an explanation for weak wideangle temperature correlations in the cosmic microwave background
Abstract
The current `standard model' of cosmology posits an infinite flat universe forever expanding under the pressure of dark energy. Firstyear data from the Wilkinson Microwave Anisotropy Probe (WMAP) confirm this model to spectacular precision on all but the largest scales. Temperature correlations across the microwave sky match expectations on angular scales narrower than 60° but, contrary to predictions, vanish on scales wider than 60°. Several explanations have been proposed. One natural approach questions the underlying geometry of spacenamely, its curvature and topology. In an infinite flat space, waves from the Big Bang would fill the universe on all length scales. The observed lack of temperature correlations on scales beyond 60° means that the broadest waves are missing, perhaps because space itself is not big enough to support them. Here we present a simple geometrical model of a finite spacethe Poincaré dodecahedral spacewhich accounts for WMAP's observations with no finetuning required. The predicted density is Ω_{0} ~ 1.013 > 1, and the model also predicts temperature correlations in matching circles on the sky.
 Publication:

Nature
 Pub Date:
 October 2003
 DOI:
 10.1038/nature01944
 arXiv:
 arXiv:astroph/0310253
 Bibcode:
 2003Natur.425..593L
 Keywords:

 Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, 4 figures. This is a slightly longer version of the paper published in Nature 425, p. 593, 2003