The shape and the size of the Universe according to the Poincaré dodecahedral space hypothesis

Abstract

One of the best models of the Universe is the Poincaré Dodecahedral Space (PDS) model, which has the best fit to the data of the cosmic microwave background (CMB) sky maps from the Wilkinson Microwave Anisotropy Probe. The present work increased the falsifiability of the PDS model by finding a better estimate of the size of the Poincaré space using parameters previously found by Roukema et al. (2008). The improved size of Poincaréspace model is 18.2 ±0.5h⁻¹ Gpc for matter density parameter Ωm = 0.28 ± 0.02. This gives the lowest redshift of multiply imaged objects as z = 106 ± 18.