Geometric Derivation of the Fine-Structure Constant from Vacuum Topology This paper discusses a rigorous derivation of the fine-structure constant from a discrete geometric structure defined by an oriented inner 6-cycle and a hierarchy of powers of three with an accuracy of 6 × 10−9. The resulting constant is a direct consequence of the model structure and contains no free parameters. This section is a stand-alone part of a larger monograph devoted to vacuum topology. Deriving the constant is not an end in itself.