Electromagnetism as SU(2) Phase Geometry on a 4D Hypersphere

I present an alternative formulation of classical electrodynamics based on the geometry of SU(2) phase fields defined over a compact 4D hypersphere S3 [1,2]. In this framework, electric and magnetic phenomena emerge from the topological and differential properties of the SU(2) phase structure rather than from fields defined over flat spacetime. I show that Coulomb's law, electromagnetic waves, and the Maxwell equations can all be derived as limiting cases of phase gradients and topological currents in the SU(2) field. This model suggests new insights into charge quantization, vacuum structure, and nonlinear effects beyond Maxwell theory.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-05
DOI
https://doi.org/10.5281/zenodo.15596613
Primary Topic
Chromosomal and Genetic Variations
Type
article
Field-Weighted Citation Impact
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article

Electromagnetism as SU(2) Phase Geometry on a 4D Hypersphere

Zenodo (CERN European Organization for Nuclear Research)
Chromosomal and Genetic Variations
article

Electromagnetism as SU(2) Phase Geometry on a 4D Hypersphere

article en

Abstract

I present an alternative formulation of classical electrodynamics based on the geometry of SU(2) phase fields defined over a compact 4D hypersphere S3 [1,2]. In this framework, electric and magnetic phenomena emerge from the topological and differential properties of the SU(2) phase structure rather than from fields defined over flat spacetime. I show that Coulomb's law, electromagnetic waves, and the Maxwell equations can all be derived as limiting cases of phase gradients and topological currents in the SU(2) field. This model suggests new insights into charge quantization, vacuum structure, and nonlinear effects beyond Maxwell theory.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 67%
Chromosomal and Genetic Variations
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Electromagnetism as SU(2) Phase Geometry on a 4D Hypersphere · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS