Algebraic Override of Yang-Mills Theory

Traditional Yang-Mills theory relies on complex non-Abelian groups and non-linear matrices. The Six-Dimensional Spacetime Model flat-out overrides this complexity via pure algebraic mapping. Core Mechanism: Using the universal mother formula F = cosθ * kE * (Qe1 * Qe2) / L², we enter the strong interaction channel: 1. Channel Mapping: cosθ * kE maps to the strong coupling constant (Gs), and the ontological charges (Qe) map to color charges (Qc). 2. Perturbation (Dark Matter Drag): The density gradient of the un-thresholded dark matter background creates a structural perturbation term (γ). The actual strong force and its potential energy are derived purely algebraically: F(r) = -Gs * (Qc1 * Qc2) / r² * (1 + γ / r) V(r) = -Gs * (Qc1 * Qc2) / r + [Gs * (Qc1 * Qc2) * γ] / (2r²) Conclusion: This pure algebraic result directly reveals the nature of strong interactions. The non-linear matrix framework of Yang-Mills is seamlessly replaced by the Six-Dimensional mapping mechanism.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123721
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

Algebraic Override of Yang-Mills Theory

Xie
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Algebraic Override of Yang-Mills Theory

Xie
preprint en

Abstract

Traditional Yang-Mills theory relies on complex non-Abelian groups and non-linear matrices. The Six-Dimensional Spacetime Model flat-out overrides this complexity via pure algebraic mapping. Core Mechanism: Using the universal mother formula F = cosθ * kE * (Qe1 * Qe2) / L², we enter the strong interaction channel: 1. Channel Mapping: cosθ * kE maps to the strong coupling constant (Gs), and the ontological charges (Qe) map to color charges (Qc). 2. Perturbation (Dark Matter Drag): The density gradient of the un-thresholded dark matter background creates a structural perturbation term (γ). The actual strong force and its potential energy are derived purely algebraically: F(r) = -Gs * (Qc1 * Qc2) / r² * (1 + γ / r) V(r) = -Gs * (Qc1 * Qc2) / r + [Gs * (Qc1 * Qc2) * γ] / (2r²) Conclusion: This pure algebraic result directly reveals the nature of strong interactions. The non-linear matrix framework of Yang-Mills is seamlessly replaced by the Six-Dimensional mapping mechanism.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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