Published October 7, 2026
| Version 1.2
Working paper
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Ternary Phase Carrier: Colour Confinement, Generation Splitting, and Koide Dispersion
Description
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.
Files
TernaryPhaseCarrier.pdf
Additional details
Related works
- Is supplemented by
- Other: https://cosmochrony.org/science/fermionic-matter/ternary-phase-carrier/ (URL)