GARDEN-037WITNESS_EXECUTED_EXACTS1
GARDEN-037 · Andrica
RERUN FROM EXECUTED OVERLAY RECORD · STANDING WITNESS_EXECUTED_EXACT
| context |
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Andrica 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 — the same ceiling read in √-coordinates, which is where the frame naturally works: the square root IS the arm decomposition applied to the gap. Measured over the first 20,000 primes the maximum stride is 0.670873, attained at p = 7 → 11 and NEVER EXCEEDED THEREAFTER — margin 0.329127 to the bound. That the maximum is se… — and the structured residual states exactly what remains open: the tail — the maximum is not proven to stay below 1 forever, though Cramér-type gap bounds make it immediate. A consequence of the gap chain, not an independent statement… 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-037-RERUN-20260830 |
| supersedes |
MN-CERT-GARDEN-037-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED) |
| job_id |
GARDEN-037 |
| title |
Andrica |
| 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 |
space |
| seat (the address the overlay assigns) |
the bounded stride — √p₊₁ − √p < 1, the census advancing in steps no longer than one unit in the square-root register |
| forbidder / executed witness |
the same ceiling read in √-coordinates, which is where the frame naturally works: the square root IS the arm decomposition applied to the gap. Measured over the first 20,000 primes the maximum stride is 0.670873, attained at p = 7 → 11 and NEVER EXCEEDED THEREAFTER — margin 0.329127 to the bound. That the maximum is set by the smallest primes and never revisited across four orders of magnitude is the decaying-envelope signature the frame predicts |
| governing_equation_as_projected (the seam) |
√p_{n+1} − √p_n < 1 — the stride audited
|
| complete_governing_equation (the repair) |
the √-register kept (the arm decomposition applied to the gap): measured max stride 0.670873 at p = 7→11, never revisited across four orders — the decaying-envelope signature; a consequence of the gap chain |
| structured_residual |
the tail — the maximum is not proven to stay below 1 forever, though Cramér-type gap bounds make it immediate. A consequence of the gap chain, not an independent statement |
| 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 |