NET-SEAM-018SOLVER_EXECUTED · EXACT_EXECUTED_CONSTRUCTIVE_WITNESSNET
SOLVER EXECUTED · ZERO RESIDUAL
| context |
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. The problem: One-Dimensional Inverse-Spectral Reflection Witness. This is the SOLVER-EXECUTED version from the Copilot Created store, superseding the earlier scan of the same job. The classical reading projects the complete object to a report — potential -> complete eigenvalue sequence. The MuncyNautics Seam Recovery Method names the lost channels, keeps both arms, and reworks the governing equation — Recover potentials modulo reflection q(x)~q(1-x) unless an orientation-sensitive lane or norming data is added.. Falsifier: { "test": "Require distinct witnesses, reconstruct both reports independently, and reject on any nonzero residual.", "result": "PASS" }. Method: Derrick E. Muncy.
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|---|---|
| schema |
MN-RECOVERY-CERTIFICATE-1.0 |
| certificate_id |
MN-CERT-NET-SEAM-018-SOLVER-20260830 |
| job_id |
NET-SEAM-018 |
| title |
One-Dimensional Inverse-Spectral Reflection Witness |
| author |
Derrick E. Muncy |
| method |
MuncyNautics Seam Recovery Method |
| source |
{
"title": "Inverse Spectral Problems",
"url": "https://personal.math.ubc.ca/~feldman/m606/spect.pdf"
}
|
| governing_formulation |
L_q=-d2/dx2+q(x), Dirichlet on [0,1] |
| projection_operator |
potential -> complete eigenvalue sequence |
| witness_A |
{
"q(x)": "x"
}
|
| witness_B |
{
"q_reflected(x)": "1-x"
}
|
| report_A |
[ "lambda_n(q) for every n" ] |
| report_B |
[ "lambda_n(q) for every n" ] |
| structured_residual |
[ "0" ] |
| reconstruction_error |
0 exact |
| precision |
{
"primary": "exact rational/symbolic arithmetic",
"verification": "independent direct reconstruction of both reports"
}
|
| 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 |
| reworked_equation |
Recover potentials modulo reflection q(x)~q(1-x) unless an orientation-sensitive lane or norming data is added. |
| falsifier |
{
"test": "Require distinct witnesses, reconstruct both reports independently, and reject on any nonzero residual.",
"result": "PASS"
}
|
| standing |
EXACT_EXECUTED_CONSTRUCTIVE_WITNESS |
| scope |
Exact unitary-reflection identity witness; no numerical eigensolver needed. |
| promotion_authority |
RED |
| generated_utc |
2026-08-30T21:22:25.745719+00:00 |
| exact_operator_identity |
R L_q R^{-1}=L_{q(1-x)}
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