Light as Synchronization: Bridging Kaluza-Klein Geometry and Kuramoto Dynamics through U(1) Phase Structure

This paper proposes a conceptual bridge between two historically independent theoreticalframeworks: the Kaluza-Klein geometric unification of gravity and electromagnetism, and theKuramoto model of coupled oscillator synchronization. We demonstrate that bothframeworks share a common mathematical substrate in U(1) phase dynamics, and that thisshared structure permits a reinterpretation of electromagnetic phenomena as collectivesynchronization patterns across spatial points, each understood as a phase oscillator on thecompactified fifth dimension. Within this framework, the vacuum state corresponds to globalphase synchronization, photons emerge as perturbative phase waves propagating across thesynchronized manifold, and electric charge is reinterpreted as quantized angular momentumalong the compact dimension. We argue that this synthesis offers a novel intuitive account ofthe observer-invariance of the speed of light: because observers are themselves embeddedconstituents of the oscillating medium (spacetime), relative motion with respect to themedium is undefined, rendering the propagation speed frame-independent. This perspectiveconnects fundamental physics to the broader framework of nonlinear dynamics andcomplexity science, suggesting that synchronization may constitute a more generalorganizational principle underlying gauge field theories.