The Proton as a Soliton Solution of the Rotor Field Equation

The Rotor Dynamics Framework models the vacuum as a four-dimensional rotor manifold capable of supporting circulating curvature structures described by the complex Rotor Curvature Field. Previous work in this series established the nonlinear Rotor Field Equation governing the evolution of this field and demonstrated that localized particle-like configurations may arise as topological soliton solutions. In the present paper the proton is examined within this framework. Earlier geometric analysis identified a closed hypertoroidal rotor as the configuration consistent with proton observables. Here it is shown that this geometry arises naturally as a stationary soliton solution of the Rotor Field Equation. The closed curvature circulation forms a vortex loop embedded within the four-dimensional vacuum manifold, and the spatial scale of the structure is determined by the balance between curvature transport, nonlinear interaction, and higher-order curvature stiffness terms. Stability follows from both energetic minimization of the curvature functional and topological protection associated with quantized phase circulation of the curvature field. The results provide a field-theoretic realization of the geometric proton rotor model and support the interpretation of particles as localized curvature solitons of the Rotor Curvature Field.