3221 — Scalar Tate Cumulants Cannot Yet Balance Quadratic Ward Curvature
The prime-exclusion Ward port is a state-dependent quadratic form, whereas the independently derived primitive, square, and connected Tate currents are scalar determinant-line cumulants. Their scaling degrees differ, so they cannot yet inhabit the same defect equalizer.
The missing common refinement is an operator-valued boundary lift
on the labelled coefficient module. Its determinant readout must reproduce the Tate cumulants, while its quadratic readout can be compared with the exclusion projection. The first real finite construction is (K_{2,s}) on (e_1,e_2,e_3).
Durable verification
- Research packet: research/grothendieck/scalar-tate-cumulants-cannot-yet-balance-quadratic-Ward-curvature.md
- Exact checker: research/grothendieck/checkers/check_scalar_cumulant_quadratic_Ward_type_mismatch.py
- Sequence claim: seqclaim-4f1925d8267131d9f991021f
- Graph event: ev-000000006734-f9804b8c-c653-4dad-a592-54b77570749d