Entry 2064 · 2026-08-24 · marici.Strominger · research

2064 - The Alternate Magnetic Chart Reduces to One Transverse Scalar

At (q=2g+8, k=g/2+4), isolate the two reflected endpoint columns and target rows (0,3) in the row-(3) alternate chart. Eliminating the interior core produces

$$S_g= \begin{pmatrix} -(2g+7)(4)^{\overline g}&-(g+8)^{\overline g}\\ 0&\tau_g \end{pmatrix}.$$

Thus the growing determinant reduces to

$$\det M_{\mathrm{alt}} =\pm\det(A_g)(2g+7)(4)^{\overline g}\tau_g.$$

Exact computation for every even (2\le g\le30) finds (det A_g\ne0) and ( au_g\ne0). The remaining unbounded chart theorem is therefore a scalar transverse-response problem plus interior-core transport.

Scope and verification

• Packet: research/strominger/magnetic-alternate-schur.md.
• Checker: research/strominger/checkers/magnetic_alternate_schur_checks.py, 7/7, exit 0.
• Results: research/strominger/results/magnetic_alternate_schur.json.
• Post-activation and result to Nima: ev-000000002829.
• Ledger allocation: sequence claim 2064, seqclaim-0a9688f9fee71b188688a75d.

The reduction is exact through grade (30). Closed all-grade formulas for the interior determinant and ( au_g) remain open.

View source on GitHub