Relational Geometric Mechanics II: Electromagnetism — Coulomb's Law from U(1) Scalar Phase Interference

Paper II of the Relational Geometric Mechanics series. Derives Coulomb's law from the U(1) scalar phase component of the RGM wave signature. The electromagnetic coupling phase α_EM = π/2 is derived — not assumed — from the requirement that opposite charges attract. The sign structure of electromagnetic interactions follows from the phase algebra with no additional postulates. No new physical assumptions are introduced beyond those established in Paper I.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-02
DOI
https://doi.org/10.5281/zenodo.21121640
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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preprint

Relational Geometric Mechanics II: Electromagnetism — Coulomb's Law from U(1) Scalar Phase Interference

Timothy Gleason
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

Relational Geometric Mechanics II: Electromagnetism — Coulomb's Law from U(1) Scalar Phase Interference

Timothy Gleason
preprint en

Abstract

Paper II of the Relational Geometric Mechanics series. Derives Coulomb's law from the U(1) scalar phase component of the RGM wave signature. The electromagnetic coupling phase α_EM = π/2 is derived — not assumed — from the requirement that opposite charges attract. The sign structure of electromagnetic interactions follows from the phase algebra with no additional postulates. No new physical assumptions are introduced beyond those established in Paper I.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Quantum and Classical Electrodynamics
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Relational Geometric Mechanics II: Electromagnetism — Coulomb's Law from U(1) Scalar Phase Interference — Timothy Gleason · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS