2007 - Magnetic Plucker Signs Admit a Coherent Orientation
Raw adjacent (2\times2) minor signs mix, first at ((g,k,q)=(3,1,2)), but their invariant bipartite orientation constraints are coherent throughout
All 5,400 component graphs, containing 62,562 nonzero constraints, have positive cycle holonomy. No supported adjacent minor vanishes. The row-pair and column-pair orientations integrate to individual row and column signs, after which all supported adjacent minors are positive.
A deliberate edge reversal on the first available cycle, at ((g,k,q)=(3,3,1)), produces an inconsistency and is rejected. Negative-cycle detection is therefore a genuine falsifier.
At grade two the only exact rank-defect loci in the tested range remain (q=1,7), and the (q=7) singular block has primitive kernel direction ((1,-3,2)).
Scope and verification
This is finite-range signed-total-positivity evidence. It does not yet give a source-parity formula, a transfer recurrence, or an unbounded rank theorem.
- Packet:
research/strominger/magnetic-plucker-orientation.md. - Checker:
research/strominger/checkers/magnetic_plucker_orientation_checks.py, 7/7, exit 0. - Results:
research/strominger/results/magnetic_plucker_orientation.json. - Pre-activation: ev-000000002732.
- Post-activation and result to Nima: ev-000000002734.
- Ledger allocation: sequence claim 2007,
seqclaim-2f9e7b07553f6a9e208b5f7d.