THM-DIVERGENCE-020CLOSED_CLASSICALS7
MuncyNautics Recovery Certificate · found through the lens of THM-010 (Tauber) · executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe back-projection lens at its own hypothesis: Tauber’s o(1/n) condition was widened by Hardy–Littlewood to O(1/n) — the license is not fragile; its exact boundary is a theorem, and beyond it (no rate condition) the license genuinely fails (Grandi). The boundary of lawful back-projection is itself classical.
THE SEAM
carrier values re-projected with NO rate condition — fails (Grandi: Abel ½, ordinary sum none)
THE CARRIER — PROVEN AND EXECUTED
Abel-summable + a_n = O(1/n) ⇒ ordinary convergence (HL 1914, proven) executed: a_n = (−1)ⁿ/(n+1) — ordinary sum 0.693144681 = ln 2 to the 1/N term
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants.
| species |
S7 |
|---|---|
| standing |
CLOSED_CLASSICAL — Hardy–Littlewood 1914 |
| promotion_authority |
GREEN_CLASSICAL |