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Atomic Harmonics and the Shell Rule (2, 8, 18, 32 …): Exploratory Derivations from Kansūron Overlap Equations

Title: Atomic Harmonics and the Shell Rule (2, 8, 18, 32 …): Exploratory Derivations from Kansūron Overlap Equations
Authors: Hedges, Dean; ChatGPT (OpenAI)
Publisher Information: Zenodo
Publication Year: 2025
Collection: Zenodo
Description: The Kansūron modification of Euler’s identity — the K-wave identity —reinterprets natural numbers as rotating vectors whose overlaps generate deterministicstructures on the time axis. When applied to atomic structure, these overlaps reproducethe observed electron shell sequence as natural resonance plateaus. The result is nota final proof, but an initial conceptual derivation that situates shell filling within auniversal harmonic law. This work is presented as a first recorded attempt to connectKansūron number-theoretic framework with atomic physics, establishing historicaltraceability for future refinements. . v1.0.1 adds DOI and typography fixes
Document Type: report
Language: unknown
Relation: https://zenodo.org/records/17096204; oai:zenodo.org:17096204; https://doi.org/10.5281/zenodo.17096204
DOI: 10.5281/zenodo.17096204
Availability: https://doi.org/10.5281/zenodo.17096204; https://zenodo.org/records/17096204
Rights: Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode
Accession Number: edsbas.BCE99C00
Database: BASE