This work presents a geometric formulation of electron binding energy within the Aether Physics Model (APM) using Quantum Measurement Units (QMU). The binding energy of the 1s (K-shell) electron is interpreted as a direct measure of Aether boundary confinement, rather than as a purely electrostatic interaction. The paper integrates the published QMU confinement core equation with the periodic-law framework developed in earlier work. The resulting expression establishes a hierarchy of contributions: Aether confinement (dominant scale), smooth shell law scaling, boundary topology residual, nuclear compression correction, localized helium pairing correction. The confinement core provides the primary energy scale through the relation equationBE AᵤR, equation with additional factors introducing controlled deviations across the periodic table. A key result of this work is the identification of a smooth shell-scaling law, equationk (Z) = 0. 748 + 0. 0028 Z, equation which is interpreted as a geometric holonomy factor arising from projection of higher-dimensional boundary structure into observable three-dimensional space. Topology, originally introduced through the Vajra band structure, is shown to contribute only as a small residual correction of order one percent. Nuclear compression enters through deviation from magic numbers, and a two-electron closure correction is required only for helium. The final binding-energy law reproduces measured K-shell binding energies for elements Z=1 through Z=92 with high fidelity. Using a neon anchor, the model achieves: Mean absolute percentage error (MAPE) 1. 5\%, root mean square error (RMSE) 756\ eV, typical heavy-element accuracy of 1--2\%. These results indicate that atomic binding energy can be understood as a geometric closure condition within the Aether, with electrostatic descriptions emerging as secondary representations. The accompanying source code (included in this record) implements the full calculator used to generate the results table and allows independent verification of all numerical results. Notes: This work builds on prior QMU and APM publications available through the Quantum AetherDynamics Institute (QADI) community on Zenodo.
David W. Thomson (Wed,) studied this question.