  The development of quantum measurement theory, initiated by von Neumann, only
indicated a possibility for resolution of the interpretational crisis of
quantum mechanics. We do this by divorcing the algebra of the dynamical
generators and the algebra of the actual observables, or beables. It is shown
that within this approach quantum causality can be rehabilitated in the form of
a superselection rule for compatibility of the past beables with the potential
future. This rule, together with the self-compatibility of the measurements
insuring the consistency of the histories, is called the nondemolition, or
causality principle in modern quantum theory. The application of this rule in
the form of the dynamical commutation relations leads in particular to the
derivation of the von Neumann projection postulate. This gives a quantum
stochastic solution, in the form of the dynamical filtering equations, of the
notorious measurement problem which was tackled unsuccessfully by many famous
physicists starting with Schroedinger and Bohr.
