GARDEN-009 — Lonely Runner

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GARDEN-009WITNESS_EXECUTED_EXACTS5

GARDEN-009 · Lonely Runner

RERUN FROM EXECUTED OVERLAY RECORD · STANDING WITNESS_EXECUTED_EXACT

context
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Lonely Runner 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 — incommensurable lane closed outright (Weyl/Kronecker corner); the conspiracy requires exact rational locking; audits k ≤ 7 find the covering impossible… — and the structured residual states exactly what remains open: the locked-lattice audit ∀k… 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-009-RERUN-20260830
supersedes
MN-CERT-GARDEN-009-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED)
job_id
GARDEN-009
title
Lonely Runner
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
S5 — The Lane / Carry
overlay_verb
carry
seat (the address the overlay assigns)
the phase-gap floor 1/k on the 2π carrier itself
forbidder / executed witness
incommensurable lane closed outright (Weyl/Kronecker corner); the conspiracy requires exact rational locking; audits k ≤ 7 find the covering impossible
governing_equation_as_projected (the seam)
∀t ∃i: ‖tv_i‖ ≥ 1/(n+1) — gap audited as magnitude
complete_governing_equation (the repair)
the 2π carrier kept: phases tv_i mod 1 as seats; incommensurable lane closed (Weyl/Kronecker); the conspiracy requires exact rational locking of every phase — audits k ≤ 7 find the covering impossible
structured_residual
the locked-lattice audit ∀k
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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