A two–slit experiment which distinguishes between the standard and Bohmian quantum mechanics

In this investigation, we have suggested a special two-slit experiment which can distinguish between standard and Bohmian quantum mechanics, even at the statistical level. At the first step, we have shown that observable individual predictions at suitable time intervals, obtained from these theories, are inconsistent. But, at the statistical level, they are consistent as was expected. Then, using suitable arrangements, we have shown that not only observable disagreement between the two theories exists at the individual level, but that using selective detection, there are novel observable predictions that either standard quantum mechanics is silent about them or that its predictions are in disagreement with those of Bohmian mechanics at the statistical level. Finally, we have examined suitable conditions for performing such experiment.