Hydrogen Atom Time-Element Volume–Orbit Paradigm Manifesto

We propose a time-element volume–orbit paradigm for the hydrogen atom, replacing the conventional Coulomb–wavefunction narrative with an ontological description built on a proton “time element” and a time-potential landscape. Electron motion is defined as a stable closure layer in this landscape rather than a force-balanced trajectory, a de Broglie standing wave, or a Schrödinger probability cloud. Orbital stratification is generated by an integer hierarchy of orbit-enclosed volumes, from which the standard readout scalings emerge: radii scale as n squared, orbital speeds scale as one over n, and energy levels scale as one over n squared toward the ionization limit. Within this framework, mass and energy are treated as secondary readouts of time-potential differences rather than first-principle inputs. The paradigm yields a minimal-variable, auditable reconstruction route for spectral and level data.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-08
DOI
https://doi.org/10.5281/zenodo.20608280
Primary Topic
Atomic and Molecular Physics
Type
preprint
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preprint

Hydrogen Atom Time-Element Volume–Orbit Paradigm Manifesto

Yuchuan Xu, Xiangqian Zhang
Zenodo (CERN European Organization for Nuclear Research)
Atomic and Molecular Physics
preprint

Hydrogen Atom Time-Element Volume–Orbit Paradigm Manifesto

Yuchuan Xu, Xiangqian Zhang
preprint en

Abstract

We propose a time-element volume–orbit paradigm for the hydrogen atom, replacing the conventional Coulomb–wavefunction narrative with an ontological description built on a proton “time element” and a time-potential landscape. Electron motion is defined as a stable closure layer in this landscape rather than a force-balanced trajectory, a de Broglie standing wave, or a Schrödinger probability cloud. Orbital stratification is generated by an integer hierarchy of orbit-enclosed volumes, from which the standard readout scalings emerge: radii scale as n squared, orbital speeds scale as one over n, and energy levels scale as one over n squared toward the ionization limit. Within this framework, mass and energy are treated as secondary readouts of time-potential differences rather than first-principle inputs. The paradigm yields a minimal-variable, auditable reconstruction route for spectral and level data.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Atomic and Molecular Physics
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