THM-DIVERGENCE-016 — Brun 1919: the convergent twin ledger

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THM-DIVERGENCE-016CLOSED_CLASSICALS1
MuncyNautics Recovery Certificate · found through the lens of THM-006 (Euler primes) read in reverse · executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe divergence-as-carrier lens read backwards: Σ1/p over ALL primes diverges (infinitude); Σ1/p over TWIN primes CONVERGES (Brun) — convergence as the carrier of scarcity. The same channel, both signs informative.
THE SEAM

twin-prime reciprocal sum — naive expectation: diverges like the full set
THE CARRIER — PROVEN AND EXECUTED

Brun 1919 (proven): Σ_{twin} 1/p < ∞, B₂ = 1.902160…
executed: 14,871 twin pairs below 2×10⁶, partial sum 1.720132 — the slow proven tail
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants.
species
S1
standing
CLOSED_CLASSICAL — Brun 1919
promotion_authority
GREEN_CLASSICAL

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