Position and contextuality in Bohm's causal completion of quantum mechanics

Abstract

Abstract We argue that, in Bohm's formulation, the assumption stipulating the position probability density to be ψ2 is both necessary and sufficient for satisfying the requirement of “noncontextuality” (absence of any dependence on the specifics of the measurement procedure) of the observable probabilities at the ensemble level. The reasons as to why position needs to have a special status in a causal completion of quantum mechanics are also discussed.