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

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 αₚΛ₀ by an IR coupling αₚ~ of the bare cosmological constant Λ₀~⁻¹ consistent with general relativity, where is the Planck constant. Described by the trace of the Schouten tensor J=(1-q)H² derived from a path integral formulation with gauged global phase, the proposed JCDM takes us beyond the ΛCDM limit of frozen J=Λ. The Hubble constant H₀ in JCDM is effectively √6/5 times the { Planck} value in ΛCDM analysis of the CMB according to H(z)=H₀√1+(6/5)ΩM,0 Z₅(z) + Ωr,0Z₆(z)/(1+z), where Zₙ=(1+z)ⁿ-1 given densities of matter ΩM,0 and radiation Ωr,0. With no free parameters, JCDM hereby agrees with the Local Distance Ladder when satisfying the BAO measured by Planck. On this cosmological background, galaxies possess an essentially C⁰-transition to anomalous dynamics due to reduced inertia below the de Sitter scale of acceleration adS=cH, where c is the velocity of light. This is confirmed in SPARC over a 6σ tension in ΛCDM galaxy models, pointing to ultra-light CDM of mass mDc²<3× 10⁻²¹eV. 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 Euclid.