Atomic Ionization Energies from Geometric Constraints on Electronic Motion — A Structural Formulation within the Theory of Emergent Relative Dynamics

This work presents the atomic-domain formulation of the Theory of Emergent Relative Dynamics (TDRE).First ionization energies are interpreted as emergent quantities arising from geometric constraints on electronic motion within a Spatial Curvature Channel (CSS).Without QED corrections, fine-structure terms, or element-by-element empirical fitting, the framework achieves sub-percent accuracy across the atomic domain, including s, p, d, and f blocks.The focus of the work is structural consistency rather than spectroscopic precision.