SGUFT G-closure V13 (BHS2): Adjudicable Black-Hole Microstate Counting (Exterior Constraints → Interior Completion) via Spectral Variational Surrogate and Hessian Log-Det Evidence — RUN_G_BHSMICRO_0001_BHS2

This record archives the SGUFT G-closure V13 layer (BHS2), an adjudicable (PASS/FAIL) evidence package for black-hole microstate counting formulated in a spectral-geometry framework. The microstate problem is defined as an “interior completion” under frozen exterior constraints derived from upstream exterior observables (e.g., effective mass/area invariants and exterior-accessible spectral invariants). A constrained variational surrogate functional is minimized to obtain interior-consistent realizations, and a Hessian-based log-determinant estimator is used as the auditable proxy for microstate entropy, enabling systematic tests of (i) area-law scaling and (ii) logarithmic subleading behavior under truncation and regularization audits.Adjudication depends only on declared outputs plus audit/manifest under frozen thresholds; explanatory and literature-comparison materials, if present, are excluded from adjudication. Provenance is locked via hashlink to upstream snapshots when applicable.Artifacts included: (1) RUN_G_BHSMICRO_0001_BHS2_bhs2_only_pack_v1.zip (minimal reproducibility pack), (2) RUN_G_BHSMICRO_0001_BHS2_bhs2_evidence_pack_v1.zip (full evidence pack), and (3) V13_delivery_BHS2_summary_pack_v1.zip (summary CSV/JSON plus regeneration scripts and manifest).