SGUFT G-closure V18 (HES1): Adjudicable Hessian Degeneracy and Construction-Validity Conditions via Schur-Complement Audits and 2×4 Regularization/Cutoff Matrix — RUN_G_HESDEMO_0001_HES1

This record archives SGUFT G-closure layer V18 (HES1), an adjudicable (PASS/FAIL) evidence package that promotes Hessian degeneracy handling and construction-validity conditions into the adjudication layer. The package provides auditable criteria for distinguishing admissible degeneracies (e.g., gauge/constraint-related null modes) from pathological instabilities, and for validating block-structured constructions through Schur-complement based checks. Adjudication is derivative-free and depends only on declared outputs together with audit/manifest under frozen thresholds (eps = 2e-3). Numerical stability is stress-tested using a frozen 2×4 regularization/cutoff matrix (HK/LP regularizer families × four cutoff levels). Adapter-level verdicts are aggregated to a run-level verdict using the standard ≥2/3 adapters PASS rule. Explanatory notes and any external comparisons, if present, are excluded from adjudication. Files in this record (three artifacts): RUN_G_HESDEMO_0001_HES1_hes1_only_pack_v1.zip RUN_G_HESDEMO_0001_HES1_hes1_evidence_pack_v1.zip V18_delivery_HES1_summary_pack_v1.zip