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 theoretical
frameworks: the Kaluza-Klein geometric unification of gravity and electromagnetism, and the
Kuramoto model of coupled oscillator synchronization. We demonstrate that both
frameworks share a common mathematical substrate in U(1) phase dynamics, and that this
shared structure permits a reinterpretation of electromagnetic phenomena as collective
synchronization patterns across spatial points, each understood as a phase oscillator on the
compactified fifth dimension. Within this framework, the vacuum state corresponds to global
phase synchronization, photons emerge as perturbative phase waves propagating across the
synchronized manifold, and electric charge is reinterpreted as quantized angular momentum
along the compact dimension. We argue that this synthesis offers a novel intuitive account of
the observer-invariance of the speed of light: because observers are themselves embedded
constituents of the oscillating medium (spacetime), relative motion with respect to the
medium is undefined, rendering the propagation speed frame-independent. This perspective
connects fundamental physics to the broader framework of nonlinear dynamics and
complexity science, suggesting that synchronization may constitute a more general
organizational principle underlying gauge field theories.