NET-SEAM-001AEXACT_CLASS_RECOVERY (root-flip equivalence class, residual 0) · ABSOLUTE_MEMBER_LANE_OPENNET
MN
UNIVERSAL CERTIFICATE OBSERVER
LOCAL BUNDLE READY
CONTEXT — WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. One-Dimensional Fourier Phase Retrieval: Exact Root-Flip Recovery — the flagship executed certificate, kept as the richest evidence version (complete witness data embedded). The magnitude-only Fourier report |F(x)| is blind to root flips: distinct complete signals share one report. The recovery names the lost channels, keeps both arms, and reconstructs the full root-flip equivalence class exactly — the executed witness and full evidence tables follow below. Structured residual: 0 exact on the root-flip reconstruction identity (the equivalence class is recovered exactly; selecting the absolute member requires an added independent lane, which is the staked falsifier). Standing: WITNESS_EXECUTED_EXACT. Method: Derrick E. Muncy.
GOVERNING EQUATION AS PROJECTED — THE SEAM
report: |F(x)(ω)| — the Fourier MAGNITUDE alone the projection x → |F(x)|: every root flip zₖ ↦ 1/z̄ₖ of the signal’s z-transform leaves the report IDENTICAL. Distinct complete signals — one per flip subset, 2ⁿ of them — collapse onto one report.
COMPLETE GOVERNING EQUATION — THE RECOVERY
F(x)(ω) = |F(x)(ω)|·e^{iφ(ω)} — phase carried
the recovery: the root-flip equivalence class [x] = { flips of zₖ ↦ 1/z̄ₖ } is reconstructed EXACTLY from the magnitude (residual 0, executed witness embedded below); the absolute member is selected only by an added independent lane (support/calibration constraint) — which is the staked falsifier, not an assumption.
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants — any finite term must be derived from the recovered channels, never fitted.
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