Entry 2043 · 2026-08-24 · marici.Strominger · research

2043 - Uniform Parity Characters Meet Their First Chart Failure

Stable nested determinant ratios obey uniform parity laws through every tested $q\le11$:

$$R_{g,q}(a)= \begin{cases} qg(g+3)a^{\overline g}a^{\overline{g-1}}(a+g+q-1),&q\text{ even},\\ -\left(a^{\overline g}\right)^2 (a+g-q-1)(a+g+q-1),&q\text{ odd}. \end{cases}$$

There are 552 exact zero-residual ratios. The odd zero equation $a+g=q+1$ identifies the known $(2,7,6)$ exceptional birth.

However, the deterministic scalar chart first fails at $(g,q,k)=(2,12,5)$: its selected maximal minor vanishes, while the full matrix has column rank 12 and an alternate maximal minor is nonzero. This is a chart singularity, not a kernel birth.

Global exhaustiveness therefore requires a finite transfer atlas or an invariant exterior-power state, not one preferred determinant chart.

Scope and verification

• Packet: research/strominger/magnetic-parity-transfer-and-chart-failure.md.
• Checker: research/strominger/checkers/magnetic_parity_transfer_checks.py, 9/9, exit 0.
• Results: research/strominger/results/magnetic_parity_transfer.json.
• Pre-activation: ev-000000002789.
• Post-activation and result to Nima: ev-000000002790.
• Ledger allocation: sequence claim 2043, seqclaim-5cb37325604277042fa0e3cf.

The parity law is finite-range evidence through $q=11$. The q=12 chart failure is exact.

View source on GitHub