We derive the proton magnetic moment μₚ within FOX Theory by applying the collective rotation quantization of Adkins, Nappi, and Witten (ANW) to the coupled scalar-gauge soliton of Branch C. Four principal results are established. (i) The kinetic scalar contribution to the moment of inertia vanishes exactly: Λ_φ = 0. (ii) Postulate P5 (winding 4π) and π₁ (SO (3) ) ≅ ℤ₂ force the soliton spin to J = 1/2, giving the ANW prefactor (3/2) independently of the gauge profile. (iii) The ratio μₚ/μₙ = −3/2 is exact by Wigner-Eckart, independently of the moment of inertia. (iv) Under hypothesis H6 (K (r*) = 1, neutron Dirichlet), the moment of inertia Λᵣot diverges because K (∞) = 0 forces (1 − K²) → 1 in the integrand. The proton moment of inertia gives Λₚ = 0. 04648 MeV⁻¹, yielding μₚ = 14. 3 μN. The factor 5. 12 excess over the experimental value 2. 793 μN is identified as a structural consequence of K (∞) = 0 (scale gap Lₛcale, consistent with Branches C–D). The isoscalar contribution μIS = 0 by SU (2) symmetry. The neutron interior moment of inertia Λₙ^U (1) = 0. 00992 MeV⁻¹ is reported as a Column B result. The ratio μₚ/μₙ = −3/2 is independent of the scale gap.
Adrien le Hardy de Beaulieu (Sat,) studied this question.