THM-DIVERGENCE-019CLOSED_CLASSICALS6
MuncyNautics Recovery Certificate · found through the lens of THM-009 (Cauchy PV) · executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe antipodal-pairing lens in physics: causality (response after stimulus) is EQUIVALENT to the PV dispersion relations — the real arm of any response function is recoverable from the imaginary arm by the principal-value integral. The partner arm is not optional bookkeeping; it is causality itself.
THE SEAM
Re χ and Im χ treated as independent measurements — the pairing discarded
THE CARRIER — PROVEN AND EXECUTED
Re χ(ω) = (2/π) PV ∫ ω′Im χ(ω′)/(ω′²−ω²) dω′ (Kramers 1927, Kronig 1926; proven from causality) executed on a Lorentzian: reconstructed Re χ = 0.327433 / −0.189056 vs direct 0.327511 / −0.189107 — 2e-4, the mesh term
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 — Kronig 1926, Kramers 1927 |
| promotion_authority |
GREEN_CLASSICAL |