Can the double-slit experiment distinguish between quantum interpretations?

The measurement and quantum arrival time problems have originated various predictions for the join spatiotemporal distribution of particle detection events, derived from different formulations and interpretations of the quantum theory. By reworking the famous double-slit experiment, the authors propose a realizable setup to probe such predictions. Despite the astonishing successes of quantum mechanics, due to some fundamental problems such as the measurement problem and quantum arrival time problem, the predictions of the theory are in some cases not quite clear and unique. Especially, there are various predictions for the joint spatiotemporal distribution of particle detection events on a screen, which are derived from different formulations and interpretations of the quantum theory. Although the differences are typically small, we show that these predictions can be experimentally distinguished by a proposed unconventional double-slit configuration, which is realizable using present-day single-atom interferometry. This experiment would enrich our understanding of the foundations of quantum mechanics.