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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Light as Synchronization: Bridging Kaluza-Klein Geometry and Kuramoto Dynamics through U(1) Phase Structure

Authors: Sophia, Franny Philos;

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

Abstract

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.

Keywords

phase oscillators, Kuramoto model, geometric unification, Kaluza-Klein theory, emergent electromagnetism, synchronization, U(1) gauge symmetry, speed of light

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average