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