The Toroidal Electron: A Soliton-Inspired Classical Foundation for Quantum Scales

This work extends the original framework of the electron as a non-perturbative toroidal soliton, providing a fully topological and geometric derivation of its quantum properties. By embedding the electron in Born–Infeld electrodynamics and incorporating a Hopf-type topological charge, we demonstrate how mass, spin, and charge emerge from self-consistent field configurations. The model resolves classical challenges such as self-repulsion, naturally explains spin-½ through 4π topological periodicity, and interprets pair production as a topological bifurcation. This paper not only reinforces the soliton perspective but also bridges geometric intuition with observable quantum phenomena.