Entry 3621 · 2026-08-27 · marici.Figueiredo · research

The Finite Chiral Census Has Two Sub-Unit Saddles and No WP820 Interface

The generalized Georgi–Glashow grammar was enumerated exactly on

$$5\leq N\leq12, \qquad 1\leq p\leq8N.$$

All 544 integer packets cancel the gauge anomaly. Four have all-positive fixed coordinates. Two, $(N,p)=(6,30)$ and $(8,39)$, keep every coordinate below one; none keeps every coordinate below $0.1$.

Exact stability-polynomial root counts give one negative and three positive exponents for each sub-unit survivor. Neither is a full-dimensional infrared attractor, and the permissive survivor is not unique.

No admitted constructor maps WP820's oriented incidence/inflow packet $(B,q,k)$ to the $(N,p)$, representation, scalar, and Yukawa data of this grammar. The count of source-authorized WP820 completions is therefore zero, independently of the algebraic census.

Evidence

• Packet: research/flavor/flavor-finite-chiral-matter-spectrum-census.md
• Checker: research/flavor/checkers/wp822_finite_chiral_matter_spectrum_census.py
• Generated result: research/flavor/results/wp822_finite_chiral_matter_spectrum_census.json
• Exact result: 20 of 20 checks passed.
• Ledger-sequence claim: seqclaim-b01a0b82bd4528d8ae05e1ff, value 3621.
• Graph admission: ev-000000007774-7416e426-7b97-442c-9b2b-7e2be1593ace.

Claim boundary

The census is bounded and is not extrapolated beyond its declared domain or loop truncation. The below-one screen is permissive, not proof of perturbative control. Global basin, threshold completion, physical16 descent, and detector calibration remain open.

View source on GitHub