  A complete solution to the long standing problem of basing Schroedinger
quantum theory on standard stochastic theory is given. The solution covers all
"single" particle three-dimensional Schroedinger theory linear or nonlinear and
with any external potential present. The system is classical, set in a
six-dimensional space and involves vacuum polarization as the background
process. Basic vacuum polarization energy characterised oscillators are
identified and then in assemblies are analysed in terms of energy occurrence
frequencies. The orbits of polarization monopoles are given and shown to be
elliptical on subspaces surfaces. The basic process takes place at the speed of
light and is of a statistical "zitterbewegung" character. The orthodox quantum
probability density bilinear quadratic form is derived from angular momentum
consideration within the system which is shown to be a generalisation of the
usual quantum structure. Two statistical assemblies are identified, a linear
one associated with superposition of eigenfunctions and a quadratic one
associated with interactions between eigenstates. It is suggested that this
two-tier probabilistic system will remove some possible paradoxes that plague
the orthodox thoory. The relation of vacuum polarization in this work with its
occurrence in other physical contexts and a connection with "spin" is
discussed.
