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Related papers: A Remark on the Aharonov-Bohm Potential and a Disc…

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A careful examination of the fundamentals of electromagnetic theory shows that due to the underlying mathematical assumptions required for Stokes' Theorem, global charge conservation cannot be guaranteed in topologically non-trivial…

General Relativity and Quantum Cosmology · Physics 2022-03-17 Jonathan Gratus , Paul Kinsler , Martin W. McCall

We investigate some proposals to solve the electric charge quantization puzzle, which simultaneously explain the recent measured deviation on the muon anomalous magnetic moment. For this we assess extensions of the Electro-Weak Standard…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. A. de S. Pires , P. S. Rodrigues da Silva

Starting from a weak gauge principle we give a new and critical revision of the argument leading to charge quantization on arbitrary spacetimes. The main differences of our approach with respect to previous works appear on spacetimes with…

High Energy Physics - Theory · Physics 2007-05-23 E. Minguzzi , C. Tejero Prieto , A. Lopez Almorox

The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm scenario. It is shown that, in weak interactions with a post-selection of the source, the effective vector potential is,…

Quantum Physics · Physics 2023-05-23 Ismael L. Paiva , Yakir Aharonov , Jeff Tollaksen , Mordecai Waegell

We give a complete quantum analysis of the Aharonov-Bohm (AB) magnetic phase shift involving three entities, the electron, the charges constituting the solenoid current, and the vector potential. The usual calculation supposes that the…

Quantum Physics · Physics 2017-05-31 Philip Pearle , Anthony Rizzi

This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference…

Quantum Physics · Physics 2014-09-25 Rui-Feng Wang

A fundamentally new understanding of the classical electromagetic interaction of a point charge and a magnetic moment through order second order in 1/c is suggested. This relativistic analysis connects together hidden momentum in magnets,…

Classical Physics · Physics 2007-05-23 Timothy H. Boyer

Experimentally it has been known for a long time that the electric charges of the observed particles appear to be quantized. An approach to understanding electric charge quantization that can be used for gauge theories with explicit $U(1)$…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Foot , H. Lew , R. R. Volkas

The present work provides a theoretical explanation for the quantisation of electric charges, an open problem since Millikan's oil drop experiment in 1909. This explanation is based solely on Maxwell's theory, it recasts Electromagnetic…

Mathematical Physics · Physics 2017-10-03 Romero Solha

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

Using the result that an electric charge - magnetic charge system carries an internal field angular momentum of $e g / 4 \pi$ we arrive at two restrictions on magnetic monopoles via the requirement of angular momentum quantization and/or…

High Energy Physics - Theory · Physics 2007-05-23 Douglas Singleton

In the first part of this work we apply Bohr (old or naive quantum atomic) theory for analysis of the remarkable electro-dynamical problem of magnetic monopoles. We reproduce formally exactly some basic elements of the Dirac magnetic…

General Physics · Physics 2015-08-31 Vladan Pankovic

Are the electromagnetic scalar and vector potentials dispensable? Lev Vaidman has suggested that local interactions of gauge-invariant quantities, e.g. magnetic torques, suffice for the description of all quantum electromagnetic phenomena.…

Quantum Physics · Physics 2016-04-21 Yakir Aharonov , Eliahu Cohen , Daniel Rohrlich

The angular momentum of any quantum system should be {\it unambiguously} quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge…

High Energy Physics - Theory · Physics 2023-09-19 Michael Dunia , P. Q. Hung , Douglas Singleton

The author argues that the Dirac quantization condition might imply the existence of an undiscovered electromagnetic structure which governs the quantization of the electric charge and the quantization of the magnetic flux in the…

Superconductivity · Physics 2007-05-23 Jer Yu Lin

A general theory of electric charge is proposed. It is based on two phenomenologies. Electric charge mutation and conservation law. Three charges $\{ +, - ,0\}$ transformations physics succeeds. Quantum field theory underlies corresponding…

General Physics · Physics 2023-02-15 R. Doria , L. S. Mendes

Whether the time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate. There are two factors complicating the problem. First, in the closed spacetime line integral of the vector potential that…

Quantum Physics · Physics 2025-11-12 Masashi Wakamatsu

When the magnetic vector potential is expressed in terms of the magnetic field it, is found to be explicitly non-local in space. This gives support to the conclusions of Aharonov et al. in a recent comment, that the Aharonov-Bohm effect may…

Quantum Physics · Physics 2016-05-19 A M Stewart

It is frequently stated that the electromagnetic vector potential acquires a fundamental role in quantum physics, whereas classically it only represents a convenient, but by no means necessary, way of representing the electromagnetic field.…

Quantum Physics · Physics 2021-11-02 Vlatko Vedral

In the self-sufficient potential formalism, treating all electromagnetic phenomena as natural or forced oscillations of some distributed electromagnetic oscillating system (Minkowski space-time), the electromagnetic potential must be…

General Physics · Physics 2013-07-02 A. V. Gritsunov