This work presents a geometric reformulation of the periodic table based on the Quantum Measurement Unit (QMU) system and the Aether Physics Model (APM). Rather than interpreting atomic structure through probabilistic electron orbitals, the paper develops a discrete Aether-based framework in which periodicity arises from two coupled closure processes: Outer Aether boundary closure governing chemical behavior Inner Aether compression closure governing nuclear stability These two structures are represented respectively by the Vajra periodic table (boundary topology) and the Pauling Spheron periodic table (nuclear compression). The paper introduces a coupled periodic functional that unifies these effects into a single quantitative framework. A central result is the identification of a measurable parameter\^ = IE R, IE is the first ionization energy and R is the non-bonded atomic radius. This parameter acts as a proxy for Aether boundary closure and exhibits a recurring structural pattern across successive periods. When normalized within each period, the data collapse onto a common curve, demonstrating a shell-invariant boundary-closure topology. The familiar period sequence\2, \;8, \;8, \;18, \;18, \;32, \;32, derived from a discrete band geometry associated with the Vajra structure. This replaces the conventional orbital-filling interpretation with a geometric closure law based on Aether boundary topology. The paper further shows that: Chemical group behavior arises from invariant band position rather than electron configuration Ionization energy and atomic radius are dual measures of boundary curvature Periodic trends follow a recurrence law with scale-dependent modulation Known anomalies (transition-metal irregularities, lanthanide contraction, and heavy-element deviations) arise naturally from boundary topology and nuclear compression The resulting interpretation treats the periodic table as a sequence of Aether boundary-closure solutions at increasing scale, modulated by internal compression. An experimental program is outlined to test the framework, including full-table evaluation of the ionization parameter, period-normalized recurrence analysis, and isotope-dependent measurements linked to nuclear closure. This work provides a unified geometric perspective connecting atomic structure, periodicity, and measurable laboratory quantities within the QMU framework.
David Thomson (Tue,) studied this question.