Self-Field Theory: Complete Mathematical Formalization(Lean 4) and Parameter Determination

Self-Field Theory (SFT) is a unified framework based on a single SU(11)-valued field $U(x)$ governed by a five-term Lagrangian. We present the complete mathematical formalization of all core SFT derivations, verified in Lean 4 with Mathlib. A total of 107 theorems have been machine-proven across quantum measurement (superselection, Born rule), gravity (Einstein Field Equations), gauge forces (electromagnetism, electroweak, strong, Higgs), thermodynamics (bottleneck constant $\zeta$, effective temperature $T_{\mathrm{eff}}$), and consistency checks (Casimir effect, anti-circularity, dimensional analysis). We provide the complete parameter table showing which quantities are derived, which are empirically measured, and which remain free. The theory rests on four non-circular axioms and accommodates all known physics with 23 parameters. The Lean proofs establish that SFT is mathematically consistent, logically non-circular, and dimensionally sound. We emphasize that this verification does not prove SFT is true; it proves that the derivations are correct given the axioms. SFT is the first Theory of Everything with a machine-verified mathematical core.