Independent Constraint-Feasibility and Penalty-Consistency Audits of 2023 and 2026 Building-Energy Research Records

This draft preprint presents an independent mathematical and documentary audit of two related but distinct building-energy research records: an unpublished 2023 research draft and a substantially revised 2026 journal publication by Le Quang Huy and Hoang Quynh Anh. For the 2023 record, exhaustive evaluation of the 5,184-design component catalog finds no design satisfying the reconstructed wall constraints. A small continuous feasible region nevertheless exists under the reported 140.53 m² area denominator. For the 2026 publication, the printed wall-thickness lower bounds imply a minimum wall-area numerator of 27,441,000 mm², exceeding the permitted 20,982,000 mm². Consequently, under the published numerical constants, the three wall constraints are jointly infeasible even over the unrestricted two-dimensional real domain. The printed CPSO candidate violates all three reconstructable wall constraints. A rounding-aware analysis of Table 14 identifies an inconsistency in run 1 between the reported objective decomposition and the jointly reconstructable penalty components, under explicitly stated rounding assumptions. Runs 2 and 3 remain conditionally compatible. The study distinguishes hard-constraint feasibility from convergence of a finite-weight penalty objective. Its contributions are case-specific mathematical proofs, numerical consistency checks, source reconciliation, and reproducible audit procedures. The audit does not reproduce the original ANN training, CPSO execution, or building-energy simulation. It makes no claims concerning physical building impossibility, implementation defects, authors' intentions, research misconduct, or algorithmic superiority. Supplementary materials document the bounded literature search, claim–evidence relationships, bibliographic references, and remaining limitations. The privately supplied 2023 research draft and third-party original research files are not included in this deposit. Publication status: Draft preprint, version v0.2.4-p1. Not peer reviewed.