The Long Division Protocol A Formally Verified Substrate-Neutral Structrual Foundation Laws Reduction of the Scientific Method to PNBA and Its Alignment with the White House National AI Policy Framework

The Long Division Protocol (LDP) is a six-step formally verifiable procedure that reduces any classical domain to the PNBA dynamic equation. We show that LDP is not a stylistic choice — it is the Scientific Method operating at Layer 0: substrate-neutral, domain-independent, and machine-verifiable. The classical Scientific Method (observe, hypothesize, predict, test, analyze, conclude) is a Layer 2 projection of LDP. LDP differs from the classical method in one decisive respect: Step 6 has a binary, machine-verifiable criterion — 0 sorry — that replaces peer consensus with compiler verdict. We present the full reduction of the Scientific Method to PNBA via LDP, verified in Lean 4 with 0 sorry, and show that the White House National Policy Framework for Artificial Intelligence (March 20, 2026) independently specifies the functional result produced by LDP as its gold standard for AI verification. The protocol has been applied across 10 and psychological domains simultaneously. Every application produces Step 6 pass. The formal proof corpus is at DOI: 10.5281/zenodo.18719748. physical Keywords: long division protocol, scientific method, formal verification, PNBA, Lean 4, 0 sorry, substrate-neutral, White House AI Framework, machine-verifiable standard, identity mass