Semi-Quantitative Evaluation of Screening and Mode Ordering in the Scalar Temporal Field Ontology

This work presents a semi-quantitative evaluation of mode-dependent screening within the Scalar Temporal Field Ontology (STFO). Building on previous results demonstrating screening, angular dependence, shell formation, and mode ordering, we compute relative contributions of representative bound modes using central density as a proxy for screening strength. Using hydrogen-like approximations, we evaluate the central density of 1s, 2s, and 2p modes and obtain explicit ratios governing their contributions to screening. These ratios are used to estimate shifts in effective coupling and resulting energy differences between modes. We show that even simple analytic estimates produce nontrivial splitting between modes of equal principal number, providing a concrete quantitative foundation for ordering effects in the STFO framework. The analysis clarifies the role of spatial structure in determining effective coupling and demonstrates that mode ordering can emerge from intrinsic field dynamics under controlled approximations.