Emergent Atomic Orbitals and Quantum Non-Collapse via Spectral Graph Theory in QGEFT

Paper 31 does not claim that the full hydrogen spectrum or full quantum chemistry have already been derived on a graph. It does show that a weighted shell graph in QGEFT already supports a concrete non-collapse mechanism: the first four non-trivial weighted-Laplacian modes on a verified 73-node benchmark keep the nucleus-core density at only `1.4645%`, `0.0317%`, `0.0027%`, and `0.0243%`, while developing shell-organized standing waves and strong participation-ratio contraction.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-18
DOI
https://doi.org/10.5281/zenodo.20266427
Primary Topic
Advanced Chemical Physics Studies
Type
preprint
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preprint

Emergent Atomic Orbitals and Quantum Non-Collapse via Spectral Graph Theory in QGEFT

Yaniv Cohen
Zenodo (CERN European Organization for Nuclear Research)
Advanced Chemical Physics Studies
preprint

Emergent Atomic Orbitals and Quantum Non-Collapse via Spectral Graph Theory in QGEFT

Yaniv Cohen
preprint en

Abstract

Paper 31 does not claim that the full hydrogen spectrum or full quantum chemistry have already been derived on a graph. It does show that a weighted shell graph in QGEFT already supports a concrete non-collapse mechanism: the first four non-trivial weighted-Laplacian modes on a verified 73-node benchmark keep the nucleus-core density at only `1.4645%`, `0.0317%`, `0.0027%`, and `0.0243%`, while developing shell-organized standing waves and strong participation-ratio contraction.

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Chemical Physics Studies
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Emergent Atomic Orbitals and Quantum Non-Collapse via Spectral Graph Theory in QGEFT — Yaniv Cohen · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS