THM-DIVERGENCE-006CLOSED_CLASSICALS1
MuncyNautics Recovery Certificate · theorem-grade divergence · hunted and executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe mirror case of the family: here the PROJECTION ERROR would run the other way — reading the very slow (ln ln x) growth as convergence. Euler proved the divergence, and the divergence itself carries the information: infinitely many primes, with density strong enough to defeat every finite census. The Codex’s protection argument (N(T) → ∞) is this theorem’s descendant.
GOVERNING EQUATION AS PROJECTED — THE SEAM
Σ 1/p read by partial sums — growth so slow (ln ln x) that any finite audit suggests convergence; the asymptotic address discarded
COMPLETE GOVERNING EQUATION — THE RECOVERY
Σ_{p≤x} 1/p = ln ln x + M + o(1) (Mertens’ 2nd theorem, proven; M = 0.2614972128…)
executed: Σ over p<3000 = 2.344049 vs ln ln 3000 + M = 2.341734 — the law confirmed, gap at the o(1) size
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.
| species |
S1 — the ceiling (divergence as the carrier of infinitude) |
|---|---|
| executed |
429 primes below 3000; law confirmed to the o(1) term |
| standing |
CLOSED_CLASSICAL — Euler 1737, Mertens 1874 |
| promotion_authority |
GREEN_CLASSICAL |
| source_records |
Euler 1737; Mertens 1874 |