The Electron as a Soliton Solution of the Rotor Field Equation

The Rotor Dynamics Framework models the vacuum as a four-dimensional rotor manifold supporting circulating curvature described by a complex Rotor Curvature Field ψ(x,t). Previous work established the governing Rotor Field Equation and demonstrated that particle geometries may be interpreted as topological soliton solutions of this field. In the present work the electron is analyzed as a specific solution of the Rotor Field Equation. The electron configuration is shown to correspond to a localized vortex-type curvature structure characterized by quantized phase circulation and associated topological invariants. Stationary solutions of the field equation are examined and the characteristic spatial scale of the electron rotor is derived from the balance between curvature transport and higher-order curvature stiffness terms in the governing equation. Stability of the configuration arises from the combined effects of nonlinear curvature dynamics, energetic minimization of the curvature functional, and topological protection associated with the winding structure of the phase field. In this interpretation the electron emerges as a stable localized soliton of the Rotor Curvature Field embedded within the four-dimensional vacuum manifold, providing a field-theoretic realization of the geometric electron model proposed within the Rotor Dynamics Framework.