The effect of primordial antibiasing on the local measurement of the key cosmological parameters

The best-fitting values of the density parameter and the amplitude of the linear density power spectrum obtained from the cosmic microwave background temperature field scanned by the Planck satellite have been found to notably disagree with those estimated from the abundance of galaxy clusters observed in the local Universe. Basically, the observed cluster counts are significantly lower than the prediction of the standard flat Λ cold dark matter (ΛCDM) model with the key cosmological parameters set at the Planck best-fitting values. We show that this inconsistency between the local and the early Universe can be well resolved without failing the currently favoured flat ΛCDM cosmology if the local Universe corresponds to a region embedded in a crest of the primordial gravitational potential field. Incorporating the condition of positive primordial potential into the theoretical prediction for the mass function of cluster haloes, we show that the observed lower number densities of the galaxy clusters are in fact fully consistent with the Planck Universe.