Charged particle interference in Kerr-Newman spacetime based on teleparallel gravity

Abstract

The quantum interference of charged particles in Kerr-Newman spacetime is studied based on teleparallel gravity. We calculate the gravitational phase difference, electromagnetic phase difference, and fringe shifts. We find that the gravitational phase difference contains three parts, respectively corresponding to the result in Kerr spacetime, the effect of Kerr-Newman black hole's charge on spacetime, and a coupling of gravitation and electromagnetic interaction. As for the electromagnetic phase difference, it contains two parts, respectively representing a pure electromagnetic contribution and a contribution in which electromagnetism mixes with gravitation. We compare the magnitudes of these phase differences. Afterwards, we extend the results to the case of dyonic Kerr-Newman spacetime. We discuss the effects of the black hole's magnetic charge and rotation, and propose two gedanken experiments to test the Dirac quantization condition. We also study the case that the universality of gravity breaks down, and show that the deviation from the weak equivalence principle can be determined from the fringe shifts. Finally, we compare the results in teleparallel gravity with those in general relativity. For a generic weak gravitational field, we show that the gravitational phases in these two theories are consistent at the first order of the gravitational gauge potential but differ at higher orders. Such difference suggests that teleparallel gravity and general relativity are distinguishable in the quantum realm, though they are usually considered equivalent at the classical level.