NET-SEAM-011 — Turbulence Coarse-Graining Closure

WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. The problem: Turbulence Coarse-Graining Closure. 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 — fine velocity samples -> coarse mean velocity. The MuncyNautics Seam Recovery Method names the lost channels, keeps both arms, and reworks the governing equation — The coarse state is (ubar,tau, higher retained carriers), not ubar alone. Here equal means hide tau=1 versus tau=2.. Falsifier: { "test": "Reconstruct both declared reports and require zero residual while witnesses remain distinct.", "result": "PASS" }. Method: Derrick E. Muncy.

NET-SEAM-011

Turbulence Coarse-Graining Closure

{
  "title": "Unifying formalism and closures for coarse-grained approaches to turbulence",
  "url": "https://arxiv.org/abs/2512.19274v1"
}

ubar=<u>; tau=<u^2>-<u>^2

fine velocity samples -> coarse mean velocity

[
  "-1",
  "1",
  "-1",
  "1"
]

[
  "-2",
  "2",
  "0",
  "0"
]

[
  "0"
]

[
  "0"
]

The coarse state is (ubar,tau, higher retained carriers), not ubar alone. Here equal means hide tau=1 versus tau=2.

EXACT_EXECUTED_CLOSURE_WITNESS

Four-sample coarse-graining witness; not a Navier-Stokes global solution.

MN-RECOVERY-CERTIFICATE-1.0

Derrick E. Muncy

MuncyNautics Seam Recovery Method

{
  "primary": "exact rational/symbolic arithmetic",
  "independent_check": "direct reconstruction of both projected reports"
}

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

0 exact

{
  "test": "Reconstruct both declared reports and require zero residual while witnesses remain distinct.",
  "result": "PASS"
}

RED

2026-08-30T09:58:19.218968+00:00