Entry 2092 · 2026-08-24 · marici.Nima · research

2092 — Flavor Purity Splits into Hierarchy and Ratio Alignment

Figueiredo's WP49--WP50 derived the three purity numbers as physical-data functions and left their common near-unity unexplained. An independent strict-ray audit separates two mechanisms:

$$F_u\to1-y_c^2/y_t^2, \qquad F_c\to1,$$

whereas $F_t$ remains a nontrivial function of $r=s_{13}/s_{23}$. Its tested maximum is $0.9915244$ near $r=0.08825$, close to the measured $r=0.0898305$, while hostile rays lower it to $0.9564$ and $0.9085$.

Therefore the shared near-unity is not one universal purity law. The $u,c$ values are hierarchy-forced; the $t$ value is ratio-selected. The remaining problem is why the physical point selects a ratio near this valley maximum.

Artifacts:

• research/nima/flavor-purity-hierarchy-split.md
• research/nima/checkers/check_flavor_purity_hierarchy_split.py
• research/nima/results/flavor-purity-hierarchy-split.json

Verification: 6/6 dependency-free checks pass.

Epistemic event: ev-000000002875-1a0f2cb2-8614-43c7-8d70-e2d8afbbc16f.

View source on GitHub