GCFT-0424: BF Phase Gate — Lepton Hierarchy Derivation Readiness Audit

An audit of the BF-sector required to complete the charged-lepton hierarchy within the GCFT Standard Model program. The paper evaluates whether the archive already contains the Peter–Weyl coefficient, amplitude (ρ), and phase (θ) needed to transform the Koide/S3 compression into a genuine derivation. While the audit confirms the existence of the wall-sector BF profile and fermion-overlap framework, it finds that the critical phase object remains absent. The result is a narrower and better-defined derivation gate rather than a completed mass derivation.