GARDEN-013 — Sendov

WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Sendov is overlaid on the MuncyNautics frame: the seat names WHERE the problem lives in the frame, the species (S5 — The Lane / Carry) names WHAT KIND of owe its residual is, the forbidder is the executed witness — a death’s conjugate blows up and must be seated (A5); Gauss–Lucas keeps seats in the span; asymmetry only shortens the leash; both census ends closed (Brown–Xiang ≤ 8, Tao ≥ N₀)… — and the structured residual states exactly what remains open: the finite middle band 9 ≤ n < N₀ (finitely checkable) — AND THE FUSION REGISTER RESHAPES WHAT IS BEING CHECKED. Fusion Codex #5 establishes island order as a winding integral, hence an INTEGER, so no state deforms co… Standing is honest: SUPPORTED means the overlay reading is demonstrated and measured but the named residual is not yet discharged. Method: MuncyNautics Seam Recovery, Derrick E. Muncy.

MN-RECOVERY-CERTIFICATE-1.1

MN-CERT-GARDEN-013-RERUN-20260830

MN-CERT-GARDEN-013-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED)

GARDEN-013

Sendov

Derrick E. Muncy

MuncyNautics Seam Recovery Method v1.0 · Overlay Codex executed record

The Overlay Codex (44 problems) · overlay-data.js (project record) · Overlay Codex, Annals format

S5 — The Lane / Carry

balance

the unit leash — zⁿ − 1 the extremal, equality at the symmetric census

a death’s conjugate blows up and must be seated (A5); Gauss–Lucas keeps seats in the span; asymmetry only shortens the leash; both census ends closed (Brown–Xiang ≤ 8, Tao ≥ N₀)

|z_k − c| ≤ 1 for some critical point — a metric audit

occupancy kept as a winding INTEGER (argument principle): the disc about z_k contains an integer count of the n−1 critical points — no continuous escape from order 1 to order 0; extremal zⁿ − 1 at the symmetric census, both census ends closed

the finite middle band 9 ≤ n < N₀ (finitely checkable) — AND THE FUSION REGISTER RESHAPES WHAT IS BEING CHECKED. Fusion Codex #5 establishes island order as a winding integral, hence an INTEGER, so no state deforms continuously from order 0 to order 1. Sendov has that shape: |zₖ − c| ≤ 1 reads as a metric condition, but by the argument principle the count of critical points inside the unit disc about zₖ is an integer, and a degree-n polynomial has exactly n−1 of them — 2 at degree 3, 4 at degree 5, 7 at degree 8, 11 at degree 12. So this is an OCCUPANCY question, does the disc contain at least one, and integer occupancy admits no continuous escape. The finite check stands; what it checks is discrete, which is why no counterexample can arise by gradual deformation

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.

True — seat, verb, and species carried; no bare-magnitude reduction performed

Measured figures in the witness computed cold in double precision on the session record; classification exact (no numeric claim promoted beyond its precision)

The residual field names the exact open step; exhibiting its failure (or a counterexample at the named seat) falsifies the overlay reading for this entry

WITNESS_EXECUTED_EXACT

YELLOW — the residual is a named open step; no GREEN issued on an open owe

SUPPORTED

2026-08-31T03:05:49.533Z