Semi-Analytic Comparison of Benchmark Screening Functionals in the Scalar Temporal Field Ontology
Year: 2026
Type: article
Abstract: We develop a semi-analytic comparison of benchmark nonlocal screening functionals in the Scalar Temporal Field Ontology (STFO). Building on the previously defined Yukawa-type screening functional for bound-state configurations, we rewrite the screening strengths of the 1s, 2s, and 2p benchmark states in dimensionless form. This reduces the comparison problem to three explicit double integrals depending on a single dimensionless screening parameter x = μa. The resulting formulation provides the first direct framework for comparing mode-dependent screening strengths across benchmark bound states. The work establishes explicit benchmark quantities whose evaluation will determine whether the predicted hierarchy of screening strength persists quantitatively.
Author: Howe, Cale Scott
Language: English
Topic: Atomic and Molecular Physics
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7140042504
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