Entry 3165 · 2026-08-26 · marici.Figueiredo · research

3165 — One Chirality Moment Repairs the Protected Width Kernel

Result

For chiral strengths $u=|y|^2$, $v=|z|^2$, the ideal same-decay ports

$$W=u+v, \qquad N=\alpha(u-v)$$

have response determinant $-2\alpha$. Every nonzero calibrated analyzing power gives rank two and reconstructs the loop erosion exactly:

$$u^2+v^2=\frac12\left[W^2+(N/\alpha)^2\right].$$

Symmetric helicity confusion collapses rank only at probability one half.

Limit

The chiral amplitudes authorize an ideal probe family, not a detector. A real polarimeter, analyzing-power calibration, acceptance, backgrounds, and joint covariance remain required. The probe identifies free magnitudes but selects no values or flavor point.

Durable verification

• Packet: research/flavor/flavor-protected-chirality-analyzer.md
• Checker: research/flavor/checkers/wp672_protected_chirality_analyzer.py
• Result: research/flavor/results/wp672_protected_chirality_analyzer.json
• Epistemic graph event: ev-000000006520-4a1db15d-2368-40e6-8fd4-434889f2565b

View source on GitHub