Fig. 15

Top: likelihood as a function of the distance to last scattering surface in curvature units for a locally spherical multiply-connected universe with a dodecahedral (I∗) fundamental domain with ℛi = 0.31R0. Lines are for different estimates of the CMB temperature from Planck data as in Fig. 12. In this figure, the χrec/R0 parameterizes the position of the model on the geometrical degeneracy line which links H0 and ΩΛ with ΩK. The degeneracy relations are approximated as ΩΛ = 0.691 + 2.705ΩK and . The red reference curve is for the random isotropic realization from a fiducial flat model. Vertical lines mark when χrec equals each of ℛi,ℛm, and ℛu, the characteristic scales of the fundamental domain. Bottom: zoom into the transitional region near χrec ≈ Ri. Both the likelihood at the best orientation of the domain versus the sky (black for the PlanckSMICA CMB map and red for the fiducial realization, as in the top panel) and the likelihood marginalized over the orientations for PlanckSMICA map (gray curve, open circles) are shown.
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