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
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2026
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| contents | <p>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.</p> <p>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.</p> <p>Files in this record (three artifacts):</p> <ul> <li> <p>RUN_G_HESDEMO_0001_HES1_hes1_only_pack_v1.zip</p> </li> <li> <p>RUN_G_HESDEMO_0001_HES1_hes1_evidence_pack_v1.zip</p> </li> <li> <p>V18_delivery_HES1_summary_pack_v1.zip</p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18279479 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | 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 梁 SGUFT; spectral geometry; G-closure; Hessian; degeneracy; zero modes; Schur complement; construction validity; gauge modes; regularization; cutoff; HK; LP; audit; manifest; reproducibility; provenance; PASS/FAIL; stability <p>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.</p> <p>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.</p> <p>Files in this record (three artifacts):</p> <ul> <li> <p>RUN_G_HESDEMO_0001_HES1_hes1_only_pack_v1.zip</p> </li> <li> <p>RUN_G_HESDEMO_0001_HES1_hes1_evidence_pack_v1.zip</p> </li> <li> <p>V18_delivery_HES1_summary_pack_v1.zip</p> </li> </ul> |
| title | 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 |
| topic | SGUFT; spectral geometry; G-closure; Hessian; degeneracy; zero modes; Schur complement; construction validity; gauge modes; regularization; cutoff; HK; LP; audit; manifest; reproducibility; provenance; PASS/FAIL; stability |
| url | https://doi.org/10.5281/zenodo.18279479 |