The Dynamical Fourier Field Resolution of the Hubble Tension: Coherence Decay, Residual Spectral Force, and the Elimination of Dark Matter Part II: Numerical Predictions and Observational Tests V2

Building on the theoretical foundations of Part I 1, we present the complete numerical predictions of the Dynamical Fourier Field (DFF) cosmological model and compare them against all major observational datasets. The DFF modified Friedmann equation, derived from the spectral action principle, introduces a single structural parameter — the coherence power-law index αC = 0.035246 — that is fixed entirely by the observed Hubble tension with no additional free parameters. From this single input, the DFF predicts: • Hlocal 0 = 73.50 km s−1 Mpc−1 from HCMB 0 = 67.24 km s−1 Mpc−1 , matching the H0DN measurement 2 exactly. • The CMB acoustic angle θs is H0-independent in DFF; all acoustic peaks are repro- duced identically to ΛCDM without any adjustment to the baryon or matter content. • Dark energy (spectral tension) equation of state w0 = −0.9907, wa = +0.0009 (quintessence, w > −1), testable by DESI, Euclid, and Rubin LSST. • σ8 = 0.763 and S8 = 0.777, resolving the S8 tension with weak lensing surveys (KiDS, DES, HSC: S8 ≈ 0.76–0.78) via RSF free-streaming suppression. • A relaxed neutrino mass bound Pmν < 0.15 eV, consistent with the DFF seesaw prediction Pmν ≈ 0.058 eV (normal hierarchy minimum). • No dark matter particle; the Residual Spectral Force (RSF) with ΩRSF = 0.2621 reproduces all dark matter phenomenology. Spectral tension reproduces all dark energy phenomenology The DFF cosmological model has zero additional free parameters beyond those fixed in Papers I–IV and passes all major observational tests. Part II also identifies the age of the universe (t0 = 12.71 Gyr) and explains why it fits comfortably into the margin of error due to statistics and isochrome method errors chronometry as the key discriminating test between DFF and ΛCDM.