The Hubble parameter of the Local Distance Ladder from dynamical dark energy with no free parameters

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Main Author: van Putten, Maurice H. P. M.
Format: Preprint
Published: 2024
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author van Putten, Maurice H. P. M.
author_facet van Putten, Maurice H. P. M.
contents 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 $Λ\simeq α_pΛ_0$ by an IR coupling $α_p\sim \hbar$ of the bare cosmological constant $Λ_0\sim\hbar^{-1}$ 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 $Λ$CDM limit of frozen $J=Λ$. The Hubble constant $H_0$ in $J$CDM is effectively $\sqrt{6/5}$ times the {\em Planck} value in $Λ$CDM analysis of the CMB according to $H(z)=H_0\sqrt{1+(6/5)Ω_{M,0} Z_5(z) + Ω_{r,0}Z_6(z)}/(1+z)$, where $Z_n=(1+z)^n-1$ given densities of matter $Ω_{M,0}$ and radiation $Ω_{r,0}$. 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$σ$ tension in $Λ$CDM galaxy models, pointing to ultra-light CDM of mass $m_Dc^2<3\times 10^{-21}$eV. Sensitivity to this cosmological background explains the JWST 'Impossible galaxies' at cosmic dawn by rapid gravitational collapse. We comment on an outlook on future confrontations with observations by {\em Euclid}.
format Preprint
id arxiv_https___arxiv_org_abs_2408_13121
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Hubble parameter of the Local Distance Ladder from dynamical dark energy with no free parameters
van Putten, Maurice H. P. M.
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
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 $Λ\simeq α_pΛ_0$ by an IR coupling $α_p\sim \hbar$ of the bare cosmological constant $Λ_0\sim\hbar^{-1}$ 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 $Λ$CDM limit of frozen $J=Λ$. The Hubble constant $H_0$ in $J$CDM is effectively $\sqrt{6/5}$ times the {\em Planck} value in $Λ$CDM analysis of the CMB according to $H(z)=H_0\sqrt{1+(6/5)Ω_{M,0} Z_5(z) + Ω_{r,0}Z_6(z)}/(1+z)$, where $Z_n=(1+z)^n-1$ given densities of matter $Ω_{M,0}$ and radiation $Ω_{r,0}$. 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$σ$ tension in $Λ$CDM galaxy models, pointing to ultra-light CDM of mass $m_Dc^2<3\times 10^{-21}$eV. Sensitivity to this cosmological background explains the JWST 'Impossible galaxies' at cosmic dawn by rapid gravitational collapse. We comment on an outlook on future confrontations with observations by {\em Euclid}.
title The Hubble parameter of the Local Distance Ladder from dynamical dark energy with no free parameters
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2408.13121