Quantum interference in the Einstein-Maxwell-Scalar spacetime

Abstract

We investigate gravitationally induced interference within the framework of teleparallel gravity, deriving a general expression for the gravitational phase difference and applying it to an EMS spacetime. We then analyze how this phase difference is affected by the presence or absence of black hole charge. Our results show that, irrespective of charge, the dominant contribution to the gravitational phase difference arises from the black hole mass. Nevertheless, while the influence of charge is negligible under standard astrophysical conditions, we identify a possible amplification mechanism through its interplay with the coupling parameter $\alpha$ in the case of extremal charged black holes. This finding not only offers new theoretical insights but also suggests experimental opportunities for probing charged black hole parameters via quantum interferometric techniques.