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

The quantum interference of charged particles in Kerr-Newman spacetime is studied based on the theory of teleparallel gravity. We calculate the gravitational phase difference, the electromagnetic phase difference, and the fringe shifts for an interference experiment in such spacetime. We find that the gravitational phase difference contains three parts. The first part stands for the gravitational phase difference of an uncharged black hole, the second part reflects the effect of the Kerr-Newman black hole’s charge on spacetime, and the last part represents a coupling of gravitation and electromagnetic interaction. As for the electromagnetic phase difference, it contains two parts, which respectively correspond to a pure electromagnetic contribution and a contribution in which electromagnetism mixes with gravitation. Afterwards, we extend the results to the case of dyonic Kerr-Newman spacetime. We discuss how the magnetic charge of the black hole affects the quantum interference, and propose two gedanken experiments to test the Dirac quantization condition. We also analyze the effect of the Kerr-Newman black hole’s rotation. Additionally, we study the quantum interference in the situation 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, and find that they are not completely consistent. Besides, we show that for a generic weak gravitational field, the gravitational phases in teleparallel gravity and general relativity are consistent at the first-order terms of the gravitational gauge potential but differ at higher-order terms.