Reconciling the observed all - sky CMB flux with its expected value from an inhomogeneous Universe Richard

In the expanding near Universe where ≈ 50 % of the matter is clumped into galaxies and their halos, it was known from an earlier work that the angular magnification of a large CMB emission feature depends on the statistical balance between light beam convergence by clumps and divergence within the voids for the majority of the sightlines to the feature. The total flux, however, reflects this balance for all sightlines to the feature, including those minority ones which are associated with galaxy strong lensing. Thus the brightness of the entire CMB sky is inevitably enhanced by at least a factor corresponding to the average strong lensing amplification for a random direction. The only way of reconciling this with the COBE/FIRAS measurement is to envisage a galaxy number density (or central mass) two orders of magnitude below the observed value. The evidence brought forth here represents another formidable inconsistency between the standard cosmological model and reality.