Variational Derivation Program for the Fine-Structure Constant: Asymmetry, Closure Functional, and Charge Duality in QMU

This work develops a variational derivation program for the fine-structure constant within the Aether Physics Model (APM) using Quantum Measurement Units (QMU). A preceding paper established the Singularity as a pre-geometric bifurcation event in which first stable closure separates into boundary and torsional sectors. The present work extends that framework by asking whether the fine-structure constant \(\alpha\) can be derived as the normalized geometric residue of first stable asymmetry. The paper begins from a quadrupolar perturbation of the first admissible closure geometry,\[R(\theta)=R_0\left(1+\epsilon P_2(\cos\theta)\right),\]where \(\epsilon\) is a dimensionless asymmetry parameter. Since the…