Aharonov-Bohm effects on the GUP framework

TL;DR

This paper investigates how the Generalized Uncertainty Principle (GUP) affects the Aharonov-Bohm effect, providing new insights into quantum gravity's influence on geometric phases.

Contribution

It is the first study to analyze the phase correction of the Aharonov-Bohm effect using the GUP framework.

Findings

GUP induces measurable corrections to the AB phase

The results suggest potential experimental tests for quantum gravity effects

Provides a new approach to unify quantum mechanics and gravity

Abstract

Modifying the fundamental commutation relation of quantum mechanics to reflect the influence of gravity is an important approach to reconcile the contradiction between quantum field theory and general relativity. In the past two decades, researchers have conducted extensive research on geometric phase problems in non-commutative spaces, but few have mentioned the correction of geometric phase problems using the Generalized Uncertainty Principle (GUP). This paper is the first to study the phase correction of Aharonov-Bohm (AB) effect by GUP.