NET-SEAM-007 — Neutrino Oscillation Parameter Degeneracy: Executed Octant-Partner Witness

WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. The problem: Neutrino Oscillation Parameter Degeneracy: Executed Octant-Partner 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 — { "probability": "P(theta,Delta)=sin^2(2theta) sin^2(Delta)", "partner": "theta_prime=pi/2-theta", "identity": "sin^2(2theta_prime)=sin^2(pi-2theta)=sin^2(2theta)" }. The MuncyNautics Seam Recovery Method names the lost channels, keeps both arms, and reworks the governing equation — { "equivalence_class": "[theta]_P={theta,pi/2-theta} in the declared two-flavor projection", "repaired_claim": "A single sin^2(2theta)-controlled probability recovers an octant pair. Added channels or spectral information must separate the pair before a unique octant is claimed.". Falsifier: { "test": "Evaluate the same declared probability at theta and pi/2-theta; any nonzero residual falsifies the branch.", "result": "PASS at 80 and 140 decimal-digit lanes." }. Method: Derrick E. Muncy.

MN-RECOVERY-CERTIFICATE-1.0

MN-CERT-NET-SEAM-007-SOLVER-20260829

NET-SEAM-007

Neutrino Oscillation Parameter Degeneracy: Executed Octant-Partner Witness

Derrick E. Muncy

MuncyNautics Seam Recovery Method

[
  {
    "title": "Parameter Degeneracies in Neutrino Oscillation Measurement of Leptonic CP and T Violation",
    "url": "https://arxiv.org/abs/hep-ph/0208163"
  },
  {
    "title": "New plots and parameter degeneracies in neutrino oscillations",
    "url": "https://arxiv.org/abs/hep-ph/0405005"
  }
]

two-flavor vacuum survival/appearance amplitude showing the exact theta to pi/2-theta octant projection

{
  "probability": "P(theta,Delta)=sin^2(2theta) sin^2(Delta)",
  "partner": "theta_prime=pi/2-theta",
  "identity": "sin^2(2theta_prime)=sin^2(pi-2theta)=sin^2(2theta)"
}

{
  "theta": "0.69813170079773183076947630739544508537714875541669018243887657606840364584137978",
  "partner_theta": "0.87266462599716478846184538424430635672143594427086272804859572008550455730172472",
  "amplitude": "0.96984631039295419202705463866236573496810406713223231654514333138711060549794475",
  "partner_amplitude": "0.96984631039295419202705463866236573496810406713223231654514333138711060549794475",
  "probability": "0.86427544457322593084897542926362279959656222619556430331119027458828331436121191",
  "partner_probability": "0.86427544457322593084897542926362279959656222619556430331119027458828331436121191",
  "residual": "0E-80"
}

{
  "theta": "0.69813170079773183076947630739544508537714875541669018243887657606840364584137977747289662785380379288492179700295162369935418769101124049593",
  "partner_theta": "0.87266462599716478846184538424430635672143594427086272804859572008550455730172472184112078481725474110615224625368952962419273461376405061987",
  "amplitude": "0.96984631039295419202705463866236573496810406713223231654514333138711060549794472947487294491897403373096081739829431328848534893288065103549",
  "partner_amplitude": "0.96984631039295419202705463866236573496810406713223231654514333138711060549794472947487294491897403373096081739829431328848534893288065103553",
  "probability": "0.86427544457322593084897542926362279959656222619556430331119027458828331436121189144901997143586236665282102864938528486985645068861355245651",
  "partner_probability": "0.86427544457322593084897542926362279959656222619556430331119027458828331436121189144901997143586236665282102864938528486985645068861355245654",
  "residual": "-3E-140"
}

OCTANT PARTNER identical at both precision lanes

{
  "symbolic": "0 exact",
  "80_digit": "0E-80",
  "140_digit": "-3E-140"
}

0 to displayed 80- and 140-digit lanes

{
  "address": "baseline and energy phase Delta",
  "rank": "first spectrum/channel response that is odd under octant exchange",
  "phase": "oscillation phase Delta and CP phase in the full model",
  "partner": "theta and pi/2-theta",
  "lane": "energy spectrum, matter effect, appearance/disappearance, neutrino/antineutrino"
}

{
  "equivalence_class": "[theta]_P={theta,pi/2-theta} in the declared two-flavor projection",
  "repaired_claim": "A single sin^2(2theta)-controlled probability recovers an octant pair. Added channels or spectral information must separate the pair before a unique octant is claimed."
}

{
  "test": "Evaluate the same declared probability at theta and pi/2-theta; any nonzero residual falsifies the branch.",
  "result": "PASS at 80 and 140 decimal-digit lanes."
}

EXACT_EXECUTED_DUAL_PRECISION_OCTANT_WITNESS

This executes the exact octant seam in a two-flavor vacuum projection. It does not solve a full experimental three-flavor global fit.

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.

True

RED

2026-08-30T09:55:21.481925+00:00