Hadronic Structure from Hopf Vortex Topology: Magnetic Moment Ratio, Deuteron Binding Energy, Effective Radius, and the Hadronic Shell as a Galactic-Scale Analogue

The Primordial Energy Wave (PEW) framework models nucleons as Hopf vortices on a torus with R/r = φ (golden ratio), with ξp = 0.367 fm. This article derives three hadronic observables from first principles, with no free parameters, and introduces a fourth contribution (new in v2): (1) μn/μp = −2/3 [A★★★] from SU(2)isospin. Agreement: 97.3%. Residual 2.7%. (2) BD = 3π/φ³ = 2.2246 MeV [B★★] from Chern-Simons action on S³. Agreement: 99.987% (0.3 keV). (3) reff(D) = ξp·φ⁴ = 1.755 fm [B★★] from Bethe-Peierls + OPEP tensor. Agreement: 99.97%. (4) The hadronic shell correction [B★★]: the three residuals are interpreted as the contribution of the distributed amplitude field ò(r) surrounding each nucleon vortex — the…