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The standard relation between the cosmological redshift and cosmic scalefactor underlies cosmological inference from virtually all kinds ofcosmological observations, leading to the emergence of the LambdaCDMcosmological model. This relation is not a fundamental theory and thusobservational determination of this function (redshift remapping) should beregarded as an insightful alternative to holding its standard form in analysesof cosmological data. Here we present non-parametric reconstructions ofredshift remapping in dark-matter-dominated models and constraints oncosmological parameters from a joint analysis of all primary cosmologicalprobes including the local measurement of the Hubble constant, Type Iasupernovae, baryonic acoustic oscillations (BAO), Planck observations of thecosmic microwave background (CMB) radiation (temperature power spectrum) andcosmic chronometers. The reconstructed redshift remapping points to anadditional boost of redshift operating in late epoch of cosmic evolution, butaffecting both low-redshift observations and the CMB. The model predicts asignificant difference between the actual Hubble constant, h=0.48+/-0.02, andits local determination, h_obs=0.73+/-0.02. The ratio of these two valuescoincides closely with the maximum expansion rate inside voids formed in thecorresponding open cosmological model with Omega_m=0.87+/-0.03, whereas theactual value of the Hubble constant implies the age of the Universe that iscompatible with the Planck LambdaCDM cosmology. The new dark-matter-dominatedmodel with redshift remapping provides excellent fits to all data andeliminates recently reported tensions between the Planck LambdaCDM cosmology,the local determination of the Hubble constant and the BAO measurements fromthe Ly-alpha forest of high-redshift quasars.

Redshift remapping and cosmic acceleration in dark-matter-dominated cosmological models