This paper formalizes the Standard Model of particle physics by deriving its 26 free parameters as geometrical consequences of a unified master equation. The approach eliminates arbitrariness, treating parameters like the fine-structure constant (α), top quark mass (mₜ), and mixing angles (θ) as topological invariants from a single curvature principle. Key sections include: Historical overview of parameter measurements (1900s–present), highlighting experimental complexities and dependencies. Complete mathematical derivation using Maurer-Cartan forms on a unity manifold, with fractal projections yielding gauge couplings, fermion masses, and vacuum energy. Proofs of parameter-freedom through heat kernel expansions and renormalization invariance. Predictions for LHC Run 3 (2026): scalar at 245 GeV, graviton at 750 GeV, dark photon at 17 MeV, and absence of proton decay. Python verification code for α^-1 ≈ 137. 036, matching PDG (2024) with high precision. The framework unifies quantum fields, gravity, and cosmology, resolving anomalies like muon g-2 and W-mass deviations. It offers a parameter-free theory of everything, testable via Euclid/DESI (2026) and RT superconductivity (Tc≈180K).
Nils Sautter (Sun,) studied this question.