The Hubble parameter of the Local Distance Ladder from dynamical dark energy with no free parameters
Maurice H. P. M. van Putten
arXiv:2408.13121v1 Announce Type: new
Abstract: Our cosmology contains Big Bang relic fluctuations by a loss of time-translation symmetry on a Hubble time scale. The contribution to the vacuum is identified with dynamical dark energy $Lambdasimeq alpha_pLambda_0$ by an IR coupling $alpha_psim hbar$ of the bare cosmological constant $Lambda_0simhbar^{-1}$ consistent with general relativity, where $hbar$ is the Planck constant. Described by the trace $J=(1-q)H^2$ of the Schouten tensor derived from a path integral formulation with gauged global phase, the proposed $J$CDM takes us beyond the $Lambda$CDM limit of frozen $J=Lambda$. The Hubble constant $H_0$ in $J$CDM is effectively $sqrt{6/5}$ times the {em Planck} value in $Lambda$CDM analysis of the CMB according to $H(z)=H_0sqrt{1+(6/5)Omega_{M,0} Z_5(z) + Omega_{r,0}Z_6(z)}/(1+z)$, where $Z_n=(1+z)^n-1$ given densities of matter $Omega_{M,0}$ and radiation $Omega_{r,0}$. With no free parameters, $J$CDM hereby agrees with the Local Distance Ladder when satisfying the BAO measured by {em Planck}. On this cosmological background, galaxies possess an essentially $C^0$-transition to anomalous dynamics due to reduced inertia below the de Sitter scale of acceleration $a_{dS}=cH$, where $c$ is the velocity of light. This is confirmed in SPARC over a 6$sigma$ tension in $Lambda$CDM galaxy models, pointing to ultra-light CDM of mass $m_Dc^2arXiv:2408.13121v1 Announce Type: new
Abstract: Our cosmology contains Big Bang relic fluctuations by a loss of time-translation symmetry on a Hubble time scale. The contribution to the vacuum is identified with dynamical dark energy $Lambdasimeq alpha_pLambda_0$ by an IR coupling $alpha_psim hbar$ of the bare cosmological constant $Lambda_0simhbar^{-1}$ consistent with general relativity, where $hbar$ is the Planck constant. Described by the trace $J=(1-q)H^2$ of the Schouten tensor derived from a path integral formulation with gauged global phase, the proposed $J$CDM takes us beyond the $Lambda$CDM limit of frozen $J=Lambda$. The Hubble constant $H_0$ in $J$CDM is effectively $sqrt{6/5}$ times the {em Planck} value in $Lambda$CDM analysis of the CMB according to $H(z)=H_0sqrt{1+(6/5)Omega_{M,0} Z_5(z) + Omega_{r,0}Z_6(z)}/(1+z)$, where $Z_n=(1+z)^n-1$ given densities of matter $Omega_{M,0}$ and radiation $Omega_{r,0}$. With no free parameters, $J$CDM hereby agrees with the Local Distance Ladder when satisfying the BAO measured by {em Planck}. On this cosmological background, galaxies possess an essentially $C^0$-transition to anomalous dynamics due to reduced inertia below the de Sitter scale of acceleration $a_{dS}=cH$, where $c$ is the velocity of light. This is confirmed in SPARC over a 6$sigma$ tension in $Lambda$CDM galaxy models, pointing to ultra-light CDM of mass $m_Dc^2