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arXiv · 2606.05955

Magnetic flux as a quantized Lorentz pseudoscalar and its relation to electric charge quantization

Cyril Belardinelli
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Abstract

In this paper, we re-examine the well-known question of why electric charges exist only in quantized portions. In this context, we revisit the motion of a charged particle in a field-free region around a current-carrying solenoid. Solving the corresponding Schr\"odinger equation leads to a simultaneous quantization condition for the magnetic flux and the electric charge. We also demonstrate the Lorentz invariance of this condition by showing that the magnetic flux behaves like a pseudoscalar under Lorentz transformations.

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Cyril Belardinelli. 2026-06-04. Magnetic flux as a quantized Lorentz pseudoscalar and its relation to electric charge quantization. https://arxiv.org/abs/2606.05955

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