Mass, Charge, and Fine-Structure Constant: Electron Deterministic Model

In the proposed deterministic mechanical model, the electron is described as a self‑localized electromagnetic soliton. Inertial mass emerges kinematically from the localization of the action quantum () into a closed‑loop resonance, producing a stationary geometric center of inertia. The electric field is derived as a 3D Archimedean spiral phase-shroud; its spherical divergence yields Coulomb’s Law as a macroscopic result. In this framework, the elementary charge 𝑒 is identified as a 137-fold reduction (slippage) of the internal wave-intensity. The fine-structure constant ) is shown to be the scale-invariant synchronization factor between the rotating core and its phase-shroud under the light-speed constraint . The model provides deterministic explanations for the electron mass, the elementary charge and Coulomb field, and predicts experimentally testable deviations from standard QED at scales comparable to the spiral step.