Reject unsupported pressure traces before polynomial state certification

experiments/POLYNOMIAL_ENTHALPY_ADMISSIBILITY_2026-09-17.md

@@ -21,3 +21,5 @@ Tests cover nodal-positive/interior-negative cubics, a positive polynomial with
 A standalone extraction of the scalar/tensor certification engine was compiled with the system C++20 compiler and exercised before module integration. It certified a strictly positive quadratic with negative coarse coefficients and a three-dimensional zero-face bubble; it proved a negative pocket of depth 1e-10; it returned unresolved for an exact tangential zero. Production module compilation and MPI execution remain part of the integration campaign.
 
 Arithmetic requirements are enforced at compilation: `__FAST_MATH__` and a positive `__FINITE_MATH_ONLY__` are rejected, and static assertions require IEC 559 binary64 with subnormal support. Runtime floating-point modes must retain gradual underflow; the application must not enable flush-to-zero after construction. The existing Release build was inspected: `-O3 -g -DNDEBUG -std=c++23 -flto=thin -arch arm64`; no unsafe floating-point flags were present in the generated build commands.
+
+The stellar strategy explicitly supports only state-independent pressure-to-specific-enthalpy surface relations. That dependency is checked from the compiled relation type. Its constructor collectively rejects nonzero prescribed surface pressure with an unsupported-prescription error before checking seed coefficients, and verifies that the EOS's enthalpy reference satisfies h(P=0)=0. This prevents a valid positive-pressure model from being mislabeled an invalid numerical base. The focused regression validates zero pressure and collective rejection when only one MPI rank supplies positive pressure.