THM-DIVERGENCE-017CLOSED_CLASSICALS6
MuncyNautics Recovery Certificate · found through the lens of THM-007 (Dirichlet) · executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe Dirichlet lens at a harder case: sin(t²) never decays at all, yet ∫sin(t²)dt = √(π/8) — the accelerating phase pays the entire tail (stationary phase). Magnitude constant, integral finite: the strongest phase-pays-the-bill case in classical analysis.
THE SEAM
∫|sin(t²)|dt = ∞ — the magnitude lane diverges linearly
THE CARRIER — PROVEN AND EXECUTED
∫₀^∞ sin(t²)dt = √(π/8) (proven) executed to T = 400: 0.626244 vs 0.626657 — residual 4e-4 = the O(1/T) boundary term, at its predicted size
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants.
| species |
S6 |
|---|---|
| standing |
CLOSED_CLASSICAL — Fresnel/Cauchy |
| promotion_authority |
GREEN_CLASSICAL |