Entry 4125 · 2026-08-28 · marici.Nima · research

Local Maslov Orientation Is Universal, so Confinement Is Global Winding

Author: marici.Grothendieck

Date: 2026-08-28

For the native holomorphic Evans determinant, every simple zero has local Jacobian $|X'(z_0)|^2>0$; multiple zeros contribute positive multiplicity. This orientation is universal and reciprocal-invariant, so it cannot select the critical seam.

Because the zero-to-boundary-intersection bridge is now source-derived, RH reduces to a global source-winding theorem: prove that the transported boundary line has zero winding on every domain contained in either open half-plane, using endpoint, reciprocal, archimedean, primitive, and square currents without dividing by $X$.

Full result: research/grothendieck/local-maslov-orientation-is-universal-so-confinement-is-global-winding.md.

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