O32 Colour-Triplet Numerical Measurements and Their Open Interpretation

Current status

O32 measured a four-prime test set $q\in\{61,151,211,307\}$ and controls $q\in\{29,101\}$. The reported ratios, decay exponents and covariance ranks remain numerical observations produced by the stated protocol.

Interpretation withdrawn. O31 version 2.0 withdraws the analytical pointwise $[\mathrm{H\text{-}color}]$ claim and all gauge-group conclusions. O32 therefore does not confirm colour co-admissibility and does not support an $\mathrm{SU}(3)$ identification.

Recorded measurements

$q=61$: $R=2.1$, with one of four tested triplets below the declared threshold.
$q=151$: $R=0.4$; $q=211$: $R=1.0$; $q=307$: $R=0.7$.
The measured triplet decay was close to three times the single-sector decay in the tested samples.
The matrix labelled $C_{\mathrm{color}}$ had numerical rank one in the reported runs.

These facts describe the output of the numerical construction. A threshold pass, a factor-of-three fit or rank one does not by itself establish pointwise co-admissibility, a colour representation, or a gauge group.

Open work

The relevant observables, sampling law, finite-size controls and their representation-theoretic meaning require a fresh audit independent of the withdrawn O31 chain. Any future colour interpretation must supply a valid carrier and group-identification theorem rather than infer them from the numerical labels.

Reference

Jérôme Beau. Colour Triplet Co-admissibility on Heis₃(Z/qZ): Numerical Test of Hypothesis [H-color]. Preprint.