A Genealogy and Interface Audit of QCD-Sector Truncations in History-Dependent Gravity (Paper LXXIX)

As the History-Dependent Gravity (HDG) series has expanded to address nonperturbative QCD phenomena, multiple distinct truncations and ansätze have been introduced across different publications. This work presents a comprehensive, rigorous documentary genealogy audit (designated LXXIX) of the QCD-sector constructions, specifically targeting Papers XXIX, XXXII, XXXIV, and XXXV. The audit employs a strict, multi-layered methodology to prevent retroactive fitting or reverse engineering: Layer G0a for direct dictionary and structural comparison of functional forms; Layer G0b for spectral-class and parameter mapping analysis; and Layer B for constructive derivation tests, including Hessian and vertex genealogy, BRST/Slavnov-Taylor consistency, and DSE/FRG relations. The audit yields four frozen methodological conclusions at the current evidence level: No constructive common genealogy has been established among the documented truncations. No constructive common master realization has been established from the documented truncations at the current evidence level. Crucially, fundamental incompatibility is NOT established; the gap is one of missing construction, not fundamental physical contradiction. New theoretical construction is strictly required for any further constructive unification. This work formally closes the documentary audit phase of the HDG QCD sector. It establishes a rigorous, reproducible baseline, demonstrating that future progress requires a separate, top-down axiomatic construction program (designated LXXX) rather than the retroactive fitting of legacy truncations.