Theory of Absolute: A Geometric Resonator Model of the Electron

This work extends the Theory of Absolute (ToA) by applying the geometric framework previously developed for the elementary photon resonator to the electron, interpreted here as a stable coupled resonator embedded in the Absolute Field. Building upon the conceptual and mathematical foundations established in the preceding articles, the present work investigates how the principal observable properties of the electron emerge from the geometry and permanent synchronization of coupled resonators. The theory is founded on four fundamental postulates: the existence of the Absolute Field, the distinction between field time and object time, the invariant local propagation velocity, and the interpretation of the electron as a stable coupled resonator. Within this framework, translational motion transforms the resonator trajectories into helices while preserving the intrinsic geometry of the resonator through the object-time transformation. The coupled-resonator geometry provides natural geometric interpretations of spin, angular momentum, the magnetic moment, and the gyromagnetic factor. The Planck relation is given a geometric interpretation through the action associated with one complete cycle of the primary resonance. The common phase of the coupled resonator is represented mathematically by the wave function and, together with the resonator dynamics, leads naturally to the Schrödinger equation and the de Broglie relation. The mathematical formalisms of relativistic and quantum physics remain unchanged. The principal contribution of the Theory of Absolute is a unified geometric interpretation in which the observable properties of the electron arise naturally from the geometry of the resonator, the action associated with its periodic evolution, and the permanent synchronization of the coupled resonances.