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This research establishes a unified theoretical link between discrete electric charge and zero magnetic flux in free space, extending phenomena previously restricted to superconductors. By demonstrating that magnetic flux acts as a Lorentz pseudoscalar within the Schrödinger equation framework, the study challenges conventional views on fundamental electromagnetic symmetries without relying on specific material contexts like type II superconductors.
Quantised Charge and Magnetic Flux Are Linked by a Single Condition

Zero magnetic flux threading a cylindrical surface now appears inextricably linked to discrete electric charge, challenging conventional understanding of fundamental constants. Previously observed in type II superconductors, this quantization of magnetic flux is extended here to free space, proposing a unified theoretical basis for both phenomena. This work establishes magnetic flux as a Lorentz pseudoscalar, potentially reshaping how we view the relationship between charge and magnetism.
Cyril Belardinelli and the University of São Paulo re-examine the long-standing problem of charge quantization by analyzing the behavior of charged particles near a current-carrying solenoid. Solving the Schrödinger equation for this system reveals a combined quantization condition linking magnetic flux and electric charge, and importantly, demonstrates the Lorentz invariance of magnetic flux as a pseudoscalar. The analysis offers a new perspective on charge quantization and its relationship to fundamental physical symmetries. A simultaneous quantization condition for both magnetic flux and electric charge has been demonstrated, revealing a previously unrecognized link between the two fundamental properties. Prior theoretical modelling often failed to…
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