Superdense Ether Theory v6.0 Six Closed Equations, Zero Free Parameters: Nuclear Radii, Particle Masses, Fine-Structure Constant, Magnetic Moments, and Neutrino Mass from G, ħ, c

Abstract SET v6. 0 presents the first complete, parameter-free derivation of nuclear and par- ticle physics observables from four fundamental constants G, ħ, c, αEM - where αEM itself is now derived (Equation VI, accuracy 0. 025%). The physical vacuum is modelled as a superfluid 4D elastic continuum (Superdense Ether) of Planck density ρP = c5/ (ħG2). Elementary particles are stable Hopf-knot vortex filaments (Unitary Magnets) characterised by the integer Hopf invariant H. Six closed equations determine all observables without free parameters: (I) vortex quantisation; (II) electromagnetic equilibrium; (III) density hierarchy β = 2α2 ; (IV) Ginzburg - Landau minimum; (V) nuclear radius; (VI) topological charge quantisation. New results in v6. 0: αEM = K · 220−1/39 derived topologically (0. 025%) Quarks identified as orientational states of UM filaments: qi = (e/3) (1 + 2 cos θi) μp = 2. 792847 μN, μn = −1. 913043 μN (0. 002%) μΛ = −0. 613 μN (0. 06%) √3 2/H Correction rule δ = −xtrue/π; ratio δp/δn = 4 = 2 Neutrino mass mechanism: mν = me · β2 ≈ 0. 006 eV Shapiro parameter prediction δγ = −2 × 10−5 (BepiColombo 2026 - 2028) Keywords: Superdense Ether, Hopf invariant, Unitary Magnet, topological soliton, one-structure constant, nuclear radius, magnetic moments, neutrino mass, two-mode gravity, Shapiro parameter.