On the Locality Principle Keeping in Aharonov-Bohm Effect

TL;DR

This paper analyzes the Aharonov-Bohm effect using a potential formalism and concludes that, under the gradient hypothesis, the effect does not violate the locality principle, resolving its paradoxical interpretation.

Contribution

It demonstrates that the locality principle holds in the AB effect when using the gradient hypothesis in electrodynamics, challenging previous paradoxical views.

Findings

No violation of locality principle in the magnetic AB effect under the gradient hypothesis

The AB effect is not a physical paradox when analyzed with this formalism

Supports a consistent electrodynamic interpretation of the AB effect

Abstract

The locality principle fulfillment in the Aharonov-Bohm (AB) effect is analyzed from the point of view of a self-sufficient potential formalism based on so-called gradient hypothesis in electrodynamics. The "magnetic" kind of AB effect is examined (as the quantum charged particle moves to an infinitely long solenoid with a permanent current), and no locality principle violation recognized if the gradient hypothesis is used. A conclusion is made that AB effect is no longer a physical and electrodynamic "paradox".