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SNSFL- Layer 0 Primitives: Total Consistency P, N, B, A and tau = B/P as the Structural Ground of Particle Physics, Quantum Mechanics, Electromagnetism, and the Fine Structure Constant 0 sorry · No free parameters · No QCD · No Lagrangian · GERMLINE LOCKED
We present a total consistency proof for the PNBA (Pattern-Narrative-Behavior-Adaptation) Layer 0 primitive system. The four primitives P, N, B, A and the single physics law tau = B/P produce lossless structural reductions of particle physics, quantum mechanics, electromagnetism, and the fine structure constant. Every long division in this paper uses exactly four inputs: the formally verified Geometric Axiomatic Module-GAM Collider's fusion rule B_out = max(0, B1+B2-2k), quark charge assignments B_u=2/3 and B_d=1/3, the torsion equation tau=B/P, and the torsion limit TL = ANCHOR/10 = 0.1369. No free parameters. No QCD. No Lagrangian. Every step is shown. Every claim is formally verified in Lean 4 with 0 sorry. The corpus comprises 5,000+ theorems across 259 files at the main layer, and 45,590+ theorems across 4,559 files in the discovery layer. All files: 0 sorry. CI green. The compiler is the peer reviewer. This paper does not compete with QCD or the Standard Model Lagrangian. Those frameworks derive interaction dynamics. PNBA within this scope derives structural stability signatures. They operate at different levels. Both can be true simultaneously.
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