Ternary Phase Carrier: Colour Confinement, Generation Splitting, and Koide Dispersion

We record a single carrier hypothesis that would relate three otherwise separate facts of the fermionic sector: the exact non-observability of individual colours in the confined regime, the appearance of three massive generations, and the unit-dispersion (Koide) shape of the charged-lepton square-root masses. The proposal is one complex three-phase carrier $z_g = S + A\,e^{i(\delta + 2\pi g/3)}$, $g = 0,1,2$, read in two ways: its pure-phase part sums to zero over the three cube-root phases ($1 + \omega + \omega^2 = 0$), a collective and exact cancellation read as a centre-neutral, triality-zero shadow of colour neutrality; its real part $S + A\cos(\delta + 2\pi g/3)$ is the square-root mass profile of the companion note. In this reading the singlet amplitude $S$ is the master dial: $S = 0$ is the pure-phase, sum-zero regime (centre-neutral colour shadow); $S \neq 0$ opens the real-offset regime (positive masses); the balanced point $S = \lVert\text{doublet}\rVert$ is singlet–doublet equipartition (Koide, ${\operatorname{CV}} = 1$); and the phase $\delta$ places one generation near a node of the profile (the hierarchy). This is a speculative bridge, not a derivation. It does not derive the Standard-Model charge assignments, anomaly cancellation, or the charged-lepton masses. It identifies a candidate common origin for the colour triplet and the generation triplet, and states the explicit construction charge sheet that any realisation would have to discharge.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-25
DOI
https://doi.org/10.5281/zenodo.21556072
Primary Topic
Quantum and Classical Electrodynamics
Type
article
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article

Ternary Phase Carrier: Colour Confinement, Generation Splitting, and Koide Dispersion

Jérôme Beau
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

Ternary Phase Carrier: Colour Confinement, Generation Splitting, and Koide Dispersion

Jérôme Beau
article en

Abstract

We record a single carrier hypothesis that would relate three otherwise separate facts of the fermionic sector: the exact non-observability of individual colours in the confined regime, the appearance of three massive generations, and the unit-dispersion (Koide) shape of the charged-lepton square-root masses. The proposal is one complex three-phase carrier $z_g = S + A\,e^{i(\delta + 2\pi g/3)}$, $g = 0,1,2$, read in two ways: its pure-phase part sums to zero over the three cube-root phases ($1 + \omega + \omega^2 = 0$), a collective and exact cancellation read as a centre-neutral, triality-zero shadow of colour neutrality; its real part $S + A\cos(\delta + 2\pi g/3)$ is the square-root mass profile of the companion note. In this reading the singlet amplitude $S$ is the master dial: $S = 0$ is the pure-phase, sum-zero regime (centre-neutral colour shadow); $S \neq 0$ opens the real-offset regime (positive masses); the balanced point $S = \lVert\text{doublet}\rVert$ is singlet–doublet equipartition (Koide, ${\operatorname{CV}} = 1$); and the phase $\delta$ places one generation near a node of the profile (the hierarchy). This is a speculative bridge, not a derivation. It does not derive the Standard-Model charge assignments, anomaly cancellation, or the charged-lepton masses. It identifies a candidate common origin for the colour triplet and the generation triplet, and states the explicit construction charge sheet that any realisation would have to discharge.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 10%
Quantum and Classical Electrodynamics
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Ternary Phase Carrier: Colour Confinement, Generation Splitting, and Koide Dispersion — Jérôme Beau · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS