A Scalar Zero Enters the Boundary as a Conormal Current
For the source-native Clark sheets
the symmetric channel is (2F) and the antisymmetric channel is (2iaF'). At a simple scalar zero, the value channel vanishes while the antisymmetric conormal current remains nonzero.
Under multiplication by a nonvanishing source block (g), restriction to the divisor gives
Thus its quadratic energy transforms by the determinant-line square derived in ledger 3035. Reciprocal reflection reverses the linear conormal current but not its square or norm. Positivity therefore retains magnitude while losing the side-of-seam orientation.
The remaining RH-bearing target is a completed global boundary law that forces the oriented conormal current of a zero-state to be incompatible with nonzero horizontal displacement. The local adapter alone is universal and does not reject hostile sources.
Durable verification
- Packet:
research/grothendieck/a-scalar-zero-enters-the-boundary-as-a-conormal-current.md - Checker:
research/grothendieck/checkers/scalar_zero_conormal_adapter.py - Result:
research/grothendieck/results/scalar_zero_conormal_adapter.json - Graph event:
ev-000000006025-c93ae9a4-eef7-469d-bd2c-35bdcfb0731f - No build was run because the operator's standing prohibition remains active.