FDEP-TP framework — Article A2: Mathematical and statistical foundations (Lancet Diabetes & Endocrinology submission package)

Submission package for Article A2 of the FDEP-TP trilogy (Lancet Diabetes & Endocrinology). Contains the Lancet-format manuscript (.docx and .pdf), Quarto source, cover letter, four display items (DI1-DI4) at 300 dpi, refs_A2.bib, the numerical ledger, the F1-F9 verification report, and the master ledger CSVs (Pillai, Mahalanobis, reference adequacy, sensitivity summary, peak-time SD, source inventory). Article A2 reports 8 axiomatic theorems (Mercer-KL, BLUP optimality, kriging equivalence, Happ-Greven PSD, Chiou normalisation, Parseval, reference-distribution and population-conditioning identifiability) and 10 estimation procedures (FACEs primary; PACE sensitivity; rho-AR(1) sensitivity; Golovkine 2025 multivariate-FVE component selection; SRSF registration; Goldsmith/Degras simultaneous bands), evaluated on the pre-registered ecological corpus (master_table.csv SHA-256 2829cd78018e411783671ec00f849647858bda552cfa4ec23ad505ba9704a117). Companion articles A1 (conceptual-physiological layer) and A3 (procedural-translational layer) are forthcoming.