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Vibrational atomic model

Ivan Anzanello

Published Apr 3, 2025• 0 citations
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This paper presents a novel geometric interpretation of quantum mechanics: the Vibrating Ring Theory. By modeling electrons as vibrating rings on atomic nuclei, we provide intuitive geometric meanings for quantum numbers and demonstrate the theory's predictive power for atomic properties. The theory achieves perfect prediction for hydrogen (0.2% radius error, 0.0% ionization energy error), 10.9% average error for atomic radii of period 1-2 elements, and maintains full mathematical consistency. The periodicity of spin-1/2 particles emerges naturally from the ring vibration model. Our work bridges classical vibration concepts with quantum phenomena, offering valuable pedagogical insights.Keywords: Quantum Mechanics, Geometric Interpretation, Vibrating Rings, Spin Periodicity, Atomic Properties

•Jan 28, 2026•0 citations
Previously in vibration sensors, optical glass plates, optical fibres, carbon nanotubes, semiconductor materials, piezoelectric materials and molecules are proved to be effective transducers for sensing vibrations. In this work, for the first time, we will propose a model of vibration sensor using single atom transport in an open optical lattice. In this apparatus, information of mechanical vibration could be transferred into shaking of optical lattice through one of a cavity mirror. Shaking lattice consequently induces Mott insulator due to quantum interference. It is found that information of vibration is encoded in the atomic current and it could be extracted by Fourier transformations. The present atomic vibration sensor has wide detection range of frequency with high precision. Our present model of sensor based on atomic system opens a new area of studying vibration sensors.
Precision measurements utilizing atomic spins are widely used in fundamental physics research, inertial sensing, biomagnetism, and the generation of standard quantities. These precision measurements based on quantum sensors have long been disturbed by micro-vibration. In this work, we study the influence of micro-vibration on spin ensembles and perform the experiment on atomic comagnetometer for the first time, which is a powerful tool for search for dark matter and new force, as well as inertial navigation. The model of the effects of micro-vibration on the atomic comagnetometer is established, which considers the transfer characteristics of micro-vibration and the response characteristics of the atomic spin ensembles to the vibration. Moreover, we develop a vibration isolation system, which is a combination of air-floating passive vibration isolators and active feedback systems, to suppress the influence of micro-vibration. Based on the established model and the vibration isolator, we achieve an ultrahigh sensitive comagnetometer, which is among the most sensitive comagnetometer. This work is of wide interest in precision measurement based on quantum sensors and could pave the way for the design of combined vibration isolation systems for such experiments to further improve the sensitivity.
This paper presents a novel geometric interpretation of quantum mechanics: the Vibrating Ring Theory. By modeling electrons as vibrating rings on atomic nuclei, we provide intuitive geometric meanings for quantum numbers and demonstrate the theory's predictive power for atomic properties. The theory achieves perfect prediction for hydrogen (0.2% radius error, 0.0% ionization energy error), 10.9% average error for atomic radii of period 1-2 elements, and maintains full mathematical consistency. The periodicity of spin-1/2 particles emerges naturally from the ring vibration model. Our work bridges classical vibration concepts with quantum phenomena, offering valuable pedagogical insights.Keywords: Quantum Mechanics, Geometric Interpretation, Vibrating Rings, Spin Periodicity, Atomic Properties