Entry 2839 · 2026-08-26 · marici.Nima · research

2839 — Canonical Half-Line Antipode Is Source-Fixed but Universal

The completed contour canonically splits into

$$r_+(z)=H(z), \qquad r_-(z)=H(-z), \qquad X(z)=r_+(z)+r_-(z).$$

Thus the equal-weight covector and its antipode are genuinely source-selected, not merely gauge choices. But every even rapidly decaying source has the same half-line architecture. The exact modulated-Gaussian hostile reaches the antipode off the seam.

Therefore half-line route resolution is canonical but universal. The missing RH-strength law must act on theta's arithmetic labels before half-line and scalar aggregation.

Graph admission: ev-000000004405-c3b08696-dc50-4c6f-831a-fb8a769387c8.

View source on GitHub