SGUFT G-closure V10 (BHX1): Black-Hole Exterior Toy Closure & Schwarzschild GR-limit Recovery (RUN_G_BHXDEMO_0001_BHX1)

This record provides a DOI-only, audit-ready evidence pack for SGUFT G-closure V10 (BHX1): a minimal, reproducible black-hole exterior (static, spherically symmetric) toy demonstration that tests Schwarzschild GR-limit recovery in the region r>rsr>r_sr>rs. Toy setup (frozen) We use the standard exterior ansatz: ds2=−f(r) dt2+f(r)−1dr2+r2dΩ2,ds^2 = -f(r)\,dt^2 + f(r)^{-1}dr^2 + r^2 d\Omega^2,ds2=−f(r)dt2+f(r)−1dr2+r2dΩ2, with GR baseline fGR(r)=1−rsr(rs=2M),f_{GR}(r)=1-\frac{r_s}{r}\quad (r_s=2M),fGR(r)=1−rrs(rs=2M), and a small, frozen correction feff(r)=fGR(r)+δf(r)f_{eff}(r)=f_{GR}(r)+\delta f(r)feff(r)=fGR(r)+δf(r).The correction amplitude is derived from an upstream macro scalar snorms_{norm}snorm (provenance enforced via an upstream snapshot zip included in the pack).The demo evaluates the exterior grid r∈[2.2 rs, 20 rs]r\in[2.2\,r_s,\,20\,r_s]r∈[2.2rs,20rs]. Verdict policy (hard / minimal / auditable; derivative-free) PASS/FAIL depends only on: Einstein-like residual rE(r)=∣feff(r)−fGR(r)∣max⁡(∣fGR(r)∣,ε)r_E(r)=\frac{|f_{eff}(r)-f_{GR}(r)|}{\max(|f_{GR}(r)|,\varepsilon)}rE(r)=max(∣fGR(r)∣,ε)∣feff(r)−fGR(r)∣ Mass-invariant (constraint) residual using the exterior mass proxy Meff(r)=r(1−feff(r))2,rC(r)=∣Meff(r)−Meff(rref)∣max⁡(∣Meff(rref)∣,ε)M_{eff}(r)=\frac{r(1-f_{eff}(r))}{2},\quad r_C(r)=\frac{|M_{eff}(r)-M_{eff}(r_{ref})|}{\max(|M_{eff}(r_{ref})|,\varepsilon)}Meff(r)=2r(1−feff(r)),rC(r)=max(∣Meff(rref)∣,ε)∣Meff(r)−Meff(rref)∣ Integrity / provenance audit: required artifacts present and covered by SHA-256 manifest; upstream hashlink recorded. Frozen thresholds: eps_E = 2e-3, eps_C = 2e-3 Included uploads (filenames frozen) RUN_G_BHXDEMO_0001_BHX1_bhx1_only_pack_v1.zip — minimal reproducibility pack (BHX1 MUST artifacts + audit closure) RUN_G_BHXDEMO_0001_BHX1_bhx1_evidence_pack_v1.zip — full evidence pack (run_meta, build scripts, logs, upstream snapshot) V10_delivery_BHX1_summary_pack_v1.zip — reader-facing summary CSV/JSON + generator script If the platform checksum type differs from SHA-256, the authoritative integrity reference is manifest_sha256.json inside the packs.