$H_0$-tension in the classical limit of Big Bang quantum cosmology
Maurice H. P. M. van Putten (INAF-OAS, Sejong University)
arXiv:2403.10865v1 Announce Type: new
Abstract: $Lambda$CDM is challenged by observational tensions between late- and early-time cosmology, most dramatically in the Hubble constant $H_0$. $Lambda$CDM hereby falls short as an effective infra-red (IR) limit of quantum cosmology. Consistency with general relativity in an effective dark energy $Lambda=alpha_pLambda_0sim H^2/c^2$ obtains from an IR-coupling $alpha_psim hbar$ to the bare cosmological constant $Lambda_0sim 1/hbar$, where $hbar$ is the Planck constant. A path integral formulation with gauged total phase identifies $Lambda$ with the trace of the Schouten tensor $J$. It predicts the scaling $H_0simeq sqrt{6/5}H_0^{Lambda{rm CDM}}$ inferred from the BAO, while preserving the age of the Universe. With no free parameters, this first principle model predicts a 9% departure in $H_0$ between the Local Distance Ladder and the $Lambda$CDM {em 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 $a_{dS}=cH$, where $c$ is the velocity of light. Excluded by galaxy models in $Lambda$CDM, it points to ultra-light dark matter of mass $m_Dlesssim 3times 10^{-21}$eV consistent with $m_Dgtrsim 10^{-22}$eV of wave-like $psi$CDM.arXiv:2403.10865v1 Announce Type: new
Abstract: $Lambda$CDM is challenged by observational tensions between late- and early-time cosmology, most dramatically in the Hubble constant $H_0$. $Lambda$CDM hereby falls short as an effective infra-red (IR) limit of quantum cosmology. Consistency with general relativity in an effective dark energy $Lambda=alpha_pLambda_0sim H^2/c^2$ obtains from an IR-coupling $alpha_psim hbar$ to the bare cosmological constant $Lambda_0sim 1/hbar$, where $hbar$ is the Planck constant. A path integral formulation with gauged total phase identifies $Lambda$ with the trace of the Schouten tensor $J$. It predicts the scaling $H_0simeq sqrt{6/5}H_0^{Lambda{rm CDM}}$ inferred from the BAO, while preserving the age of the Universe. With no free parameters, this first principle model predicts a 9% departure in $H_0$ between the Local Distance Ladder and the $Lambda$CDM {em 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 $a_{dS}=cH$, where $c$ is the velocity of light. Excluded by galaxy models in $Lambda$CDM, it points to ultra-light dark matter of mass $m_Dlesssim 3times 10^{-21}$eV consistent with $m_Dgtrsim 10^{-22}$eV of wave-like $psi$CDM.