The size of the Universe according to the Poincare dodecahedral space hypothesis

Understand

One of the FLRW models that best fits the WMAP sky maps of the CMB is the Poincare dodecahedral space.

• The optimal fit of this model to WMAP data was recently found using an optimal cross-correlation method, but the systematic error in the estimate of the matched-circle angular radius \alpha, or equivalently, the (comoving) size of the Universe 2\rinj (twice the injectivity radius), might be much higher than the random error.
• In order to increase the falsifiability of the model, it would be useful to reduce the uncertainty in this estimate and to estimate the fraction of the sky where multiply imaged gravitationally bound objects should potentially be detectable.
• "Matched discs" are defined in order to describe a useful subset of multiply imaged objects.