Gravito-electromagnetic Aharonov-Bohm effect: some rotation effects revised

TL;DR

This paper introduces a formalism linking the gravito-magnetic Aharonov-Bohm effect to the Sagnac effect, providing a framework to analyze general relativistic corrections in stationary, axially symmetric spacetimes.

Contribution

It formally defines the gravito-magnetic Aharonov-Bohm effect and interprets the Sagnac effect within this framework, extending understanding of relativistic rotation effects.

Findings

Interpretation of Sagnac effect as a gravito-magnetic Aharonov-Bohm effect

Analysis of general relativistic corrections in stationary, axially symmetric geometries

Formalism connecting gravito-electromagnetic fields to rotation effects

Abstract

By means of the description of the standard relative dynamics in terms of gravito-electromagnetic fields, in the context of natural splitting, we formally introduce the gravito-magnetic Aharonov-Bohm effect. Then, we interpret the Sagnac effect as a gravito-magnetic Aharonov-Bohm effect and we exploit this formalism for studying the General Relativistic corrections to the Sagnac effect in stationary and axially symmetric geometries.