  An approach to quantum mechanics is developed which makes the Heisenberg cut
between the deterministic microscopic quantum world and the partly
deterministic, partly stochastic macroscopic world explicit. The microscopic
system evolves according to the Schrodinger equation with stochastic behaviour
arising when the system is probed by a set of coarse grained macroscopic
observables whose resolution scale defines the Heisenberg cut. The resulting
stochastic process can account for the different facets of the classical limit:
Newton's laws (ergodicity broken); statistical mechanics of thermal ensembles
(ergodic); and solve the measurement problem (partial ergodicity breaking). In
particular, the usual rules of the Copenhagen interpretation, like the Born
rule, emerge, along with completely local descriptions of EPR type experiments.
The formalism also re-introduces a dynamical picture of equilibration and
thermalization in quantum statistical mechanics and provides insight into how
classical statistical mechanics can arise in the classical limit and in a way
that alleviates various conceptual problems.
