Comparison of Mode Ordering in the Scalar Temporal Field Ontology with Qualitative Atomic Structure Trends

This work compares the mode-ordering mechanism developed in the Scalar Temporal Field Ontology (STFO) with qualitative trends known from atomic structure. Building on previous results establishing screening, spatial integrals, and explicit mode-dependent coefficients, we analyze how spatial structure influences effective coupling and ordering within the STFO framework. We show that compact modes experience stronger screening effects, while angular and spatially extended modes are less strongly modified. This behavior is qualitatively consistent with known atomic trends associated with orbital penetration and screening. Although the present framework does not yet reproduce full atomic spectroscopy, it demonstrates that shell-like differentiation and ordering can arise within the framework of temporal field dynamics under controlled approximations. This work represents an initial step toward connecting STFO predictions with known physical systems.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-22
DOI
https://doi.org/10.5281/zenodo.19154821
Primary Topic
Advanced Chemical Physics Studies
Type
article
Field-Weighted Citation Impact
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article

Comparison of Mode Ordering in the Scalar Temporal Field Ontology with Qualitative Atomic Structure Trends

Cale Scott Howe
Zenodo (CERN European Organization for Nuclear Research)
Advanced Chemical Physics Studies
article

Comparison of Mode Ordering in the Scalar Temporal Field Ontology with Qualitative Atomic Structure Trends

Cale Scott Howe
article en

Abstract

This work compares the mode-ordering mechanism developed in the Scalar Temporal Field Ontology (STFO) with qualitative trends known from atomic structure. Building on previous results establishing screening, spatial integrals, and explicit mode-dependent coefficients, we analyze how spatial structure influences effective coupling and ordering within the STFO framework. We show that compact modes experience stronger screening effects, while angular and spatially extended modes are less strongly modified. This behavior is qualitatively consistent with known atomic trends associated with orbital penetration and screening. Although the present framework does not yet reproduce full atomic spectroscopy, it demonstrates that shell-like differentiation and ordering can arise within the framework of temporal field dynamics under controlled approximations. This work represents an initial step toward connecting STFO predictions with known physical systems.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 12%
Advanced Chemical Physics Studies
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