Atomic Structure as Coherence Geometry

Atomic organization is modeled as a downstream expression of coherence geometry rather than a collection of independent particle‑level mechanisms. The paper frames atoms as stable attractors within a discrete generative architecture, where electron configurations, shell structure, and bonding behavior arise from invariant coherence constraints rather than ad hoc rules. The framework is developed across three layers: the gradient‑driven formation of stable atomic attractors, the persistence operators that maintain coherent electron distributions under perturbation, and the metabolic redistribution dynamics that govern transitions such as excitation, ionization, and bond formation. This structure explains periodicity, valence patterns, and the stability of chemical species without appealing to teleological or instruction‑based models. The result is a unified account of atomic structure that situates familiar chemical regularities within a broader coherence geometry, clarifying how stable matter emerges from simple generative rules operating across scales.