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 V5

Building on the theoretical foundations of Part I [1], we present the numerical predictions of the Dynamical Fourier Field (DFF) cosmological model and compare them against major observational datasets. The DFF Friedmann equation, derived from the spectral action principle of Paper I [2], introduces the spectral tension VST = V0(1 − Cglobal/Cmax) in place of the cosmological constant. A single structural parameter, the coherence decay index αC = 0.035240, is fixed by the two observed Hubble constant measurements with no additional fitting freedom. All other quantities follow analytically or numerically from this input. The principal predictions are: • Hlocal 0 = 73.50 km s−1 Mpc−1 is derived from HCMB 0 = 67.24 km s−1 Mpc−1 via the DFF Second Law dCglobal/ds ≤ 0, reproducing the H0DN measurement [6] without new fields or particles. • The CMB acoustic angular scale θs is H0-independent; it is preserved exactly in DFF. • The spectral tension equation of state is w0 = −1.0093, wa = −0.0009 (phantom, w < −1), derived from covariant energy conservation. • The Residual Spectral Force (RSF) replaces cold dark matter (ΩRSF = 0.2621) and provides a mechanism for matter power spectrum suppression at scales k > kcoh; the precise value of kcoh, and therefore the exact σ8 prediction, is deferred to Paper VI pending the Bogomolny vacuum calculation. • The age of the universe is t0 = 12.71 Gyr, consistent with stellar age constraints once the unresolved systematic uncertainties in standard stellar models are included. • No dark matter particle exists in DFF; the RSF produces flat rotation curves, the Bullet Cluster offset, and large-scale structure without any new particle.