Topological Derivation of the Fine-Structure Constant from a Discrete BCC Quantum Vacuum Manifold

A structured vacuum at the Planck scale not only provides a framework consistent with standardphysics, but also makes it possible to attribute physical meaning to fundamental constants. Here,we show that the fine-structure constant (α) can be represented within a discrete vacuum modeledas a body-centered cubic (BCC) lattice of resonant resistance-inductance-capacitance (RLC) nodes.This framework allows α to be expressed in terms of topological and combinatorial considerations,based on the lattice Green’s function (Watson integral) and the information-density bounds of thelocal BCC environment. By evaluating these geometric parameters, we calculate a theoretical valueα = 7.2973525649×10−3. This result deviates by only 0.54σ from the CODATA 2022 recommendedvalue 1. Crucially, the model’s prediction agrees with the latest high-precision determination fromthe Harvard-Northwestern electron magnetic moment measurement 29 to all digits shown, withinthe quoted uncertainty, placing the present result at the level of current metrological precision.Furthermore, the internal consistency of the framework is verified by the emergent derivation of theelementary charge (e), which matches the CODATA 2022 and SI defined values with total precision.