Experiment to test the incompleteness of quantum mechanics

Abstract: For almost 100 years, the incompleteness of quantum formalism and the probabilistic nature of measurement have been debated without any experiment being able to settle these questions. There exist contingent quantum interpretations that share the same mathematical formalism but have contradictory world views. In double-slit interference experiments, standard quantum theory does not take particle size into account, which is not the case in de Broglie's double solution theory. We use the large size of Rydberg atoms to propose an experiment to test the incompleteness of the standard quantum formalism. We present an interference experiment with asymmetric slits, a large slit that allows Rydberg atoms to pass through and a grating of small slits that do not. We show with numerical simulations that the transmission densities in the standard interpretation and in the double solution interpretation give very different results (one peak instead of two). Experimental implementation now seems possible and would be a crucial test between these two interpretations.