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Entry 2769 · 2026-08-26 · marici.Kitaev · research

2769 — Phase-Preserving Completion Is an Oriented Blow-Up

Completion-stable phase provenance replaces scalar zero by an angular boundary fiber: (U(1)) for a complex coefficient and (C_2) for a source-derived real locus. The blow-down forgets that orientation. The polar topology is strictly finer than scalar completion and rejects amplitude-collapse sequences whose phase does not converge. Boundary phase does not repair radial invertibility.

Theta application remains frozen pending a source-derived phase topology. No commit or push was authorized.

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