The Strong Force, harmonic Structure in Quantum Chromodynamics

The strong force exhibits behavior opposite to gravity and electromagnetism: it strengthens with distance rather than weakening. This paper demonstrates that Quantum Chromodynamics (QCD) contains the harmonic ratios of the Unified Harmonics Framework at its structural core. The QCD color factor for quark-antiquark interactions is exactly 4/3 (perfect fourth), derived from the SU(3) Casimir operator C_F = (N²−1)/2N = 8/6 = 4/3. The quark-quark color factor has magnitude 2/3 (inverted perfect fifth). QCD contains 8 gluon types, matching the 8 integers of the harmonic chain—and crucially, the framework may predict SU(3) as the unique gauge group compatible with harmonic structure, since 3² − 1 = 8 is the only solution. We propose that color confinement—the impossibility of isolating quarks—arises because quarks are nodes of confined standing waves in gluon flux tubes. This parallels magnetic pole confinement: just as magnetic poles cannot be isolated because field lines form closed loops, color charges cannot be isolated because they are nodes of closed wave structures. The Delta/Proton mass ratio equals 4/3 with 1.5% error, matching the color factor. The strong force is not anomalous; it is the harmonic framework operating in the confined-wave regime, dual to the propagating-wave regime of electromagnetism.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-27
DOI
https://doi.org/10.5281/zenodo.18073462
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
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article

The Strong Force, harmonic Structure in Quantum Chromodynamics

Stoffel MSN, RN, Brandy
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
article

The Strong Force, harmonic Structure in Quantum Chromodynamics

Stoffel MSN, RN, Brandy
article en

Abstract

The strong force exhibits behavior opposite to gravity and electromagnetism: it strengthens with distance rather than weakening. This paper demonstrates that Quantum Chromodynamics (QCD) contains the harmonic ratios of the Unified Harmonics Framework at its structural core. The QCD color factor for quark-antiquark interactions is exactly 4/3 (perfect fourth), derived from the SU(3) Casimir operator C_F = (N²−1)/2N = 8/6 = 4/3. The quark-quark color factor has magnitude 2/3 (inverted perfect fifth). QCD contains 8 gluon types, matching the 8 integers of the harmonic chain—and crucially, the framework may predict SU(3) as the unique gauge group compatible with harmonic structure, since 3² − 1 = 8 is the only solution. We propose that color confinement—the impossibility of isolating quarks—arises because quarks are nodes of confined standing waves in gluon flux tubes. This parallels magnetic pole confinement: just as magnetic poles cannot be isolated because field lines form closed loops, color charges cannot be isolated because they are nodes of closed wave structures. The Delta/Proton mass ratio equals 4/3 with 1.5% error, matching the color factor. The strong force is not anomalous; it is the harmonic framework operating in the confined-wave regime, dual to the propagating-wave regime of electromagnetism.

Zenodo (CERN European Organization for Nuclear Research)
Logan University (US), Logan Regional Hospital (US)
Openalex Percentile: Top 21%
Quantum Chromodynamics and Particle Interactions
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The Strong Force, harmonic Structure in Quantum Chromodynamics — Stoffel MSN, RN, Brandy · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS