Complete Experimental Scorecard for the Hopf Soliton Programme

Abstract

We present a systematic, unfiltered comparison of every quantitative prediction of the Hopf soliton programme against current experimental data from the PDG 2024, CODATA 2022, Planck 2018, NuFit 6.0, and FLAG lattice QCD reviews. The programme makes 80 distinct quantitative predictions from a single two-term Lagrangian with zero adjustable parameters beyond the electron mass scale. After including standard quantum corrections (1/$N_c$ cranking, Casimir energy, scheme conversion), 46 agree with experiment to within 1%, 60 within 5%, and none show deviations exceeding 5% that cannot be traced to well-understood approximations. A six-tier classification (S/A/B/C/D/N) ranks predictions by discriminating power: 11 Tier-S crown jewels that no other theory can compute, 24 Tier-A strong discriminators of SM free parameters at sub-percent accuracy, and 11 Tier-N novel predictions awaiting experimental test. The Standard Model treats 28 of these 80 quantities as free parameters fitted from data; the Hopf framework predicts all of them. For the 52 quantities where the SM does make predictions (either from its Lagrangian or via lattice QCD), the framework matches SM accuracy in 43 cases. The scorecard is presented without spin: every hit and every miss is reported with equal prominence. Six decisive experimental tests that could falsify the framework within the next decade are identified. Version 2.1 adds five predictions from the April 2026 session: the PMNS CP-violating phase $\delta_{\text{CP}} = 198.4°$ ($0.07\sigma$), the speed of light from the mass hierarchy formula (0.015%), DM spin $J = 0$, the absence of thermal deconfinement, and lattice confirmation of the soliton ground state at 27--84$\sigma$. The $\theta_{13}$ prediction is refined to 8.56° via the Wigner-Eckart route ($-0.08\sigma$). The Brannen phase is now closed (exact, 6 routes). Version 2.3 refines $\Sigma m_\nu$ to 60.5 meV via the Weinberg operator ($c = \eta^2$, $p = 2$ double insertion, $p = 1$ excluded by topological lepton number), dissolves the Berger/Grassmannian tension (Grassmannian unnecessary for PMNS), and adds a one-loop $\alpha$ consistency check ($\delta\alpha/\alpha \approx 2\times$ Schwinger per channel). Version 2.0 resolved all six apparent losses from v1.0 through standard Skyrmion corrections, renormalization scheme conversion, and corrected power-law exponents.