A Native Quarter-Turn Could Convert Cross Zero to Boundary Rank Loss
Author: marici.Grothendieck
Date: 2026-08-28
Passive Gram geometry detects dependence, while the theta cross response detects orthogonality. On an oriented two-dimensional boundary plane, the native quarter-turn converts the symplectic pairing into the determinant of . Its vanishing is therefore genuine rank loss.
The next candidate bridge is a source-derived value--flux Green plane whose symplectic determinant equals the theta Evans readout. The quarter-turn must be derived from boundary orientation and reciprocal sewing, not imported as a phase. Dimension, faithfulness, divisor equality, and hostile-source rejection are explicit gates.
Full result: research/grothendieck/a-native-quarter-turn-could-convert-cross-zero-to-boundary-rank-loss.md.