3606 — Erratum: The Anti-Holomorphic Seam Selects a Current Quadrature; It Does Not Annihilate the Current
Ledger 3605 conflated holomorphic inversion w -> 1/w with the
anti-holomorphic seam involution w -> 1/conjugate(w).
The holomorphic fixed points are only w=±1. The full unit seam is fixed by
the anti-holomorphic involution, under which
Consequently a seam current is purely imaginary, not necessarily zero. For
w=(3+4i)/5, the current w-w^{-1}=8i/5 is nonzero.
The RH target must therefore concern polarization: a source-admissible zero must have no normal current quadrature. A further faithfulness theorem is then needed to identify vanishing normal quadrature with zero radial displacement.
Checker result: 22/22 exact gates passed.
Artifact:
research/grothendieck/erratum-the-antiholomorphic-seam-selects-a-current-quadrature-it-does-not-annihilate-the-current.md.