H₀-tension in the classical limit of Big Bang quantum cosmology

CDM is challenged by observational tensions between late- and early-time cosmology, most dramatically in the Hubble constant H₀. CDM hereby falls short as an effective infra-red (IR) limit of quantum cosmology. Consistency with general relativity in an effective dark energy =ₚ₀ H²/c² obtains from an IR-coupling ₚ to the bare cosmological constant ₀ 1/, where is the Planck constant. A path integral formulation with gauged total phase identifies with the trace of the Schouten tensor J. It predicts the scaling H₀ 6/5H₀^ CDM inferred from the BAO, while preserving the age of the Universe. With no free parameters, this first principle model predicts a 9\% departure in H₀ between the Local Distance Ladder and the CDM Planck measurements with no tension between late and early times. In galaxies, the same IR coupling predicts a sharp transition to anomalous rotation curves below the de Sitter acceleration a₃ₒ=cH, where c is the velocity of light. Excluded by galaxy models in CDM, it points to ultra-light dark matter of mass mD 3 10^-21eV consistent with mD 10^-22eV of wave-like CDM.