String Theory Derivation in a Maxwell Universe
Preferred Frame Writing — January 2026
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One-Sentence Summary
When electromagnetic energy flow organizes on invariant tori, classical Maxwell theory produces integer winding numbers, tension, inertia, and discrete mode spectra stabilized by energy-dependent effective refraction.
Summary
We show how linear, classical Maxwell theory admits toroidally organized energy flow whose closed trajectories are labeled by integer winding numbers. Localized electromagnetic energy flow defines an effective one-dimensional object with tension and inertia computed directly from field densities. Stability against dispersion arises because high electromagnetic energy density reduces the local effective speed of light, producing self-trapping through emergent refraction. Explicit null Maxwell solutions with torus-knot topology demonstrate that integer data $(m,n)$ are computable from conserved field integrals. String-theoretic structures thus emerge as effective descriptions of self-stabilizing electromagnetic topology.
Keywords
Keywords: Maxwell theory, classical electrodynamics, Poynting flow, electromagnetic energy flow, electromagnetic topology, toroidal topology, torus knots, winding numbers, emergent strings, self-trapping, effective refractive index, field ontology