GARDEN-003WITNESS_EXECUTED_EXACTS4
GARDEN-003 · Collatz
RERUN FROM EXECUTED OVERLAY RECORD · STANDING WITNESS_EXECUTED_EXACT
| context |
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Collatz is overlaid on the MuncyNautics frame: the seat names WHERE the problem lives in the frame, the species (S4 — The Pointwise) names WHAT KIND of owe its residual is, the forbidder is the executed witness — drift ln(3/4) < 0 (asymmetry clause); second cycle priced out by Baker; divergence = the permanently unpaired push (Tao proves the leak in density)… — and the structured residual states exactly what remains open: pointwise discharge: density → every orbit… 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-003-RERUN-20260830 |
| supersedes |
MN-CERT-GARDEN-003-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED) |
| job_id |
GARDEN-003 |
| title |
Collatz |
| 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 |
S4 — The Pointwise |
| overlay_verb |
run |
| seat (the address the overlay assigns) |
1→4→2→1: 3·1+1 = 2² — one push paid by two pulls, the unique integer closure |
| forbidder / executed witness |
drift ln(3/4) < 0 (asymmetry clause); second cycle priced out by Baker; divergence = the permanently unpaired push (Tao proves the leak in density) |
| governing_equation_as_projected (the seam) |
T(n) = n/2 or 3n+1 — orbit followed as bare magnitudes |
| complete_governing_equation (the repair) |
per-step drift kept with sign and phase: E[Δ ln n] = ln 3 − 2 ln 2 = −0.143841 < 0; 3·1+1 = 2² the unique integer closure (one push, two pulls); divergence = permanently unpaid push, leak proven in density (Tao) |
| structured_residual |
pointwise discharge: density → every orbit |
| 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 |