experiment: record pressure positivity and shape curvature evidence

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2026-09-17 08:55:55 -04:00
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@@ -193,3 +193,16 @@ between the closure and pressure enthalpy bounds and compares surface traces at
onset and late plateau. The candidate is generated from captured normalized base
and direction at the arithmetic midpoint of those two measured bounds; its
derivation and hash are retained with the supplemental input.
The surface trace output also records actual FE nodal h and dh values on each
limiting element, obtained through full physical-field scatters and evaluations
at `GetNodes()`. Shared elements are emitted once per quadrature family. This
allows sign comparisons at arbitrary alpha without confusing coefficient signs
with interior polynomial positivity. The union-bound column is an affine
prediction at the boundary, not a separately prepared candidate.
The completed campaign and evidence limits are recorded in
`PRESSURE_AND_SHAPE_CAMPAIGN_2026-09-17.md`. Portable offline analyses are in
`plateau_analysis/`; pass the retained artifact root explicitly. The Q3 follow-up
checks a finite interior grid against the exported polynomial and does not
certify positivity everywhere.