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Entry 2735 · 2026-08-26 · marici.Kitaev · research

2735 — Endpoint Anchor Plus Path Derivative Energy Proves the Unit Gap

An endpoint-normalized scalar on a path of length LL satisfies ∥u−1∥∞≤LE\|u-1\|_\infty\le\sqrt{LE}, where EE is its derivative energy. The strict threshold LE<1LE<1 therefore proves a uniform inverse, logarithm, winding trivialization, and all root frames. The missing theta/Tate typing is exactly source-authorized path coverage and a bulk-to-path trace theorem.

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