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

This paper presents a deterministic mechanical model of the electron as a self-localized electromagnetic soliton. We propose that inertial mass is a kinematic consequence of a wave-impulse’s transition from linear translation to a closed-loop trajectory. This localiza- tion forces the emergence of a stationary geometric center, which serves as the physical center of the system’s inertia (rest mass). Furthermore, the electric field is derived as a dynamic phase-oscillation shroud characterized by a 3D Archimedean spiral geometry. In this framework, Coulomb’s Law is revealed as the macroscopic result of the spherical di- vergence of this spiral shroud, while the elementary charge e is identified as the product of a 137-fold reduction (slippage) of the internal wave-intensity. The fine-structure constant (α ≈ 1/137) is determined to be the scale-invariant synchronization factor between the ro- tating soliton core and its Archimedean phase-shroud under the light-speed constraint c.This model provides a purely kinematic explanation for charge quantization and polarity (chirality), demonstrating strict numerical agreement with CODATA 2025 values.