A local realist model for correlations of the singlet state

Can quantum correlations of the singlet state be produced by two separate subsystems which have interacted in the past but do not communicate? We show that, using a locally causal realist model of the Einstein-Podolsky-Rosen-Bohm experiment, the answer is affirmative if coincidence in time is used to decide which detection events are stemming from a single two-particle system, the criterion employed in all experimental realizations of the Einstein-Podolsky-Rosen-Bohm gedanken experiment.