Derivation of the Fine Structure Constant from a Constraint

The first parameter-free derivation of the electromagnetic fine structure constant from a single axiom is presented. Starting from the constraint principle ("Constraint exists"), previously shown to generate quantum mechanics, special relativity, and the Standard Model gauge structure, it is proven that the inverse fine structure constant follows uniquely from gauge group geometry. The derivation requires: (i) Haar volumes from the Weyl integration formula, (ii) electroweak symmetry breaking coefficients from coset decomposition, (iii) path integral normalization from the Faddeev–Popov theorem, (iv) canonical coupling fixed by quantization consistency, and (v) the LSZ reduction theorem connecting theory to observation. With zero free parameters and no numerical fitting, the prediction agrees with experiment at the level of 99.9998% (0.0002% error). This establishes electric charge as a derived quantity, reducing the Standard Model’s fundamental conversion factors from five to four (ħ, c, kB, G). The extraordinary agreement suggests that fundamental physics may arise from pure geometric constraint. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/z