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The study aims to reinterpret hydrogenic energy levels and ionization thresholds through a mechanical lens.

February 28, 2026Open Access

Discrete Admissible Scales: A Mechanical Reinterpretation of Hydrogenic Scaling and Structural Ionization

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The study aims to reinterpret hydrogenic energy levels and ionization thresholds through a mechanical lens.
Developed a framework for extended electron structures.
Analyzed the effects of gradient pressure and Coulombic compression on electron states.
Explored structural implications of energy level scaling.
Identified unique ground-state length scale due to scale symmetry breaking.
Demonstrated that discrete hydrogenic states align with topological constraints.
Reinterpreted ionization threshold as a measure of electron distribution morphologies.

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This work demonstrates energy level scaling and ionization thresholds in hydrogenic systems, highlighting structural implications.

Ping Zhang (2026) studied this question.

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