Non-Identical Mode Interactions and Emergent Orbital Structure in the Scalar Temporal Field Ontology

This work extends the Scalar Temporal Field Ontology (STFO) to include non-identical bound modes and investigates the role of angular structure in multi-mode interactions. Building on previous work demonstrating screening effects in identical-mode configurations, we analyze a two-mode system consisting of a ground-state mode and an angular excited mode. Using hydrogen-like approximations, we compute the effective temporal density, examine mode overlap, and determine how angular dependence modifies interaction strength and screening behavior. We show that modes with nontrivial angular structure exhibit reduced effective overlap and therefore generate weaker screening contributions. These results provide an explicit demonstration that angular structure plays a central role in multi-mode dynamics, leading to reduced interaction energy and favoring occupation of distinct configurations. The analysis establishes a dynamical pathway toward orbital differentiation within the STFO framework and identifies angular structure as a key organizing principle in multi-mode temporal field systems.