High-Precision Topological Modeling of the Fine-Structure Constant Based on Eight-Ridge Topology and Modular Number Theory

Abstract: The fine-structure constant α is the core dimensionless coupling constant in quantum electrodynamics. Its precise value can only be obtained through high-precision physical experiments. To date, there is no universally recognized first-principles axiom system capable of strictly deriving its numerical value, which remains a long-standing fundamental problem in physics. To address the defects of traditional multi-parameter fitting, limited accuracy, and vague physical interpretation, this study takes the authoritative CODATA experimental value of the fine-structure constant as the fitting constraint. Based on Calabi–Yau three-fold (CY₃) topological structure, modular periodic rules, primitive prime distribution, and standard transcendental number systems, this work manually constructs a fixed-structure, zero-adjustable-parameter topological-number-theory phenomenological model. By selecting adaptive topological operators, combining standardized transcendental bases, and introducing high-order topological perturbation corrections, the model achieves 11-digit high-precision reverse reconstruction of the fine-structure constant, which is perfectly consistent with the latest CODATA experimental data.