  The process approach to NRQM offers a fourth framework for the quantization
of physical systems. Unlike the standard approaches (Schrodinger-Heisenberg,
Feynman, Wigner-Gronewald-Moyal), the process approach is not merely equivalent
to NRQM and is not merely a re-interpretation. The process approach provides a
dynamical completion of NRQM. Standard NRQM arises as a asymptotic quotient by
means of a set-valued process covering map, which links the process algebra to
the usual space of wave functions and operators on Hilbert space. The process
approach offers an emergentist, discrete, finite, quasi-non-local and
quasi-non-contextual realist interpretation which appears to resolve many of
the paradoxes and is free of divergences. Nevertheless, it retains the
computational power of NRQM and possesses an emergent probability structure
which agrees with NRQM in the asymptotic quotient. The paper describes the
process algebra, the process covering map for single systems and the
configuration process covering map for multiple systems. It demonstrates the
link to NRQM through a toy model. Applications of the process algebra to
various quantum mechanical situations - superpositions, two-slit experiments,
entanglement, Schrodinger's cat - are presented along with an approach to the
paradoxes and the issue of classicality.
