Stochastic Simulation of The Three Dimensional Quantum Vacuum

Abstract

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.