The discrete-event approach, which has already been shown to give a
cause-and-effect explanation of many quantum optics experiments, is
applied to single-neutron interferometry experiments. The simulation
algorithm yields a logically consistent description in terms of
individual neutrons and does not require the knowledge of the solution
of a wave equation. The simulation method reproduces the results of several single-neutron interferometry experiments,
including experiments which, in quantum theoretical language, involve entanglement.
Our results demonstrate that classical (non-Hamiltonian) systems can exhibit correlations which in quantum theory
are associated with interference and entanglement, also when all particles emitted by the source are accounted for.