The gravitational analog of the Aharonov-Bohm electric effect

TL;DR

This paper explores a gravitational analog of the Aharonov-Bohm effect, revealing that phase shifts can originate from local gravitational redshift effects rather than purely topological properties.

Contribution

It introduces a new interpretation of the gravitational Aharonov-Bohm effect, emphasizing local geometrical changes over topological phases.

Findings

Phase shift arises from gravitational redshift effects.

Local geometrical measures contribute to the phase.

The effect offers a local interpretation of quantum phase shifts.

Abstract

The electric Aharonov-Bohm effect is a special case of the general Ab effect. However, when inserting a gravitational potential in the place of the time dependent potential, a different understanding of the phase shift could be gained. The usual topological phase is replaced by a phase with origin in the red shift of the particle at one of the paths taken relative to the other path. In this case, the change in the geometrical measure is the source of the phase shift, which therefore has a local interpretation along with the non-local topological explanation.