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 J=(1-q)H² of the Schouten tensor 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}.