  A black box with two input bits and two output bits is called a non-local PR
box, if the XOR of the output bits equals the AND of the input bits. In a
recent article, Cerf et al. show that Alice and Bob, using such a PR box, can
effectively simulate entanglement without the need of communication. We show
that an adaptation of a model due to Dirk Aerts, yields a realistic simulation
of the non-local PR box without communication. Because the model is entirely
realistic, it cannot violate relativistic constraints. Like a non-local box, it
can be used to simulate the singlet state coincidence probabilities, but the
time to complete the observation of the outcome will exceed the time it takes a
photon to travel one arm in an EPRB setup. The model explicitly shows how to
produce an outcome that is locally perfectly random, but nevertheless
determines what happens in the other wing of the experiment, without
communication taking place between the two wings. In this sense, it can serve
as an accurate metaphor for the mechanism of entanglement. The model
considerably strengthens the claim that no communication is necessary to
simulate entanglement.
