THM-DIVERGENCE-011CLOSED_CLASSICALS3
MuncyNautics Recovery Certificate · found through the lens of THM-001 (Abel) · executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe Abel lens pointed one rung up: the derivative ledger. Divergent with unbounded partial sums, yet the carrier 1/(1+x)² is finite and its boundary value ¼ is a proven Abel value.
THE SEAM
Σ(−1)^{n+1} n — partial sums unbounded (proven)
THE CARRIER — PROVEN AND EXECUTED
carrier d/dx[1/(1+x)] lane: Σ(−1)^{n+1}n x^{n-1} = 1/(1+x)²; Abel boundary ¼ EXACT
executed: series matches 1/(1+x)² to 6 digits at x = 0.9, 0.99 (x = 0.999 needs >9000 terms — truncation noted, carrier exact)
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants.
| species |
S3 |
|---|---|
| standing |
CLOSED_CLASSICAL — Euler 1749, Abel 1826 |
| promotion_authority |
GREEN_CLASSICAL |