Hadronic Structure from Hopf Vortex Topology: Magnetic Moment Ratio, Deuteron Binding Energy, Effective Radius, and the Three-Zone Nucleon Model (v5)

Update v5 (April 2026): This version adds two advances from PEW Article 14. (1) The open problem PO-φ is now closed: R/r = φ for the Hopf torus follows analytically from the KAM theorem and Hurwitz (1891), establishing that φ is the unique KAM-stable attractor under Mother-Wave perturbations. (2) The scattering length a_sc is reinterpreted as ξ_p^coh · φ^10.10, where ξ_p^coh = 0.0419 fm is the PEW Lagrangian coherence length, connecting a_sc to Λ_PEW = log_φ(1/α_em) = 10.22. The exact geodesic curvature ⟨κ_g⟩ = −√φ on the golden Hopf torus is established as a new geometric result [A]. All original results of v4 are preserved. MSC: 81V35 · 81T13 · 22E70 · 85A15 PACS: 21.10.Dr · 21.45.-v · 14.20.Dh · 21.30.-x · 98.35.Df