GARDEN-005 — Legendre

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GARDEN-005WITNESS_EXECUTED_EXACTS1

GARDEN-005 · Legendre

RERUN FROM EXECUTED OVERLAY RECORD · STANDING WITNESS_EXECUTED_EXACT

context
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Legendre is overlaid on the MuncyNautics frame: the seat names WHERE the problem lives in the frame, the species (S1 — The Ceiling) names WHAT KIND of owe its residual is, the forbidder is the executed witness — density closed long ago; an empty rung = full destructive phase alignment of the zeros across one window while neighbors fill (BHP) — the vacuous seam… — and the structured residual states exactly what remains open: phase-alignment exclusion (the last 0.025 of exponent)… 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.
schema
MN-RECOVERY-CERTIFICATE-1.1
certificate_id
MN-CERT-GARDEN-005-RERUN-20260830
supersedes
MN-CERT-GARDEN-005-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED)
job_id
GARDEN-005
title
Legendre
author
Derrick E. Muncy
method
MuncyNautics Seam Recovery Method v1.0 · Overlay Codex executed record
source_records
The Overlay Codex (44 problems) · overlay-data.js (project record) · Overlay Codex, Annals format
species
S1 — The Ceiling
overlay_verb
window
seat (the address the overlay assigns)
the quadratic rung [n²,(n+1)²] — width 2√x vs demand √x/ln x
forbidder / executed witness
density closed long ago; an empty rung = full destructive phase alignment of the zeros across one window while neighbors fill (BHP) — the vacuous seam
governing_equation_as_projected (the seam)
π((n+1)²) − π(n²) > 0 — an occupancy count on a window
complete_governing_equation (the repair)
window width 2√x against demand √x/ln x with the zeros’ phases kept: emptiness = full destructive phase alignment across one window while neighbors fill (BHP 0.525 window proven) — the vacuous seam named
structured_residual
phase-alignment exclusion (the last 0.025 of exponent)
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.
phase_retained
True — seat, verb, and species carried; no bare-magnitude reduction performed
precision
Measured figures in the witness computed cold in double precision on the session record; classification exact (no numeric claim promoted beyond its precision)
falsifier
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
standing
WITNESS_EXECUTED_EXACT
promotion_authority
YELLOW — the residual is a named open step; no GREEN issued on an open owe
honesty_state
SUPPORTED
generated_utc
2026-08-31T03:05:49.533Z

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