Journal of Applied Mathematics and Stochastic Analysis 
Volume 4 (1991), Issue 2, Pages 95-110
doi:10.1155/S1048953391000060

Oscillations of a polarizable vacuum

James G. Gilson

School of Mathematical Sciences, Queen Mary College, Mile End Road, London E1 4NS, United Kingdom

Received 1 October 1990; Revised 1 December 1990

Abstract

A classical basis for one-dimensional Schrödinger quantum theory is constructed from simple vacuum polarization harmonic oscillators within standard stochastic theory. The model is constructed on a two-dimensional phase configuration surface with phase velocity vectors that have a speed of light zitterbewegung behaviour character. The system supplies a natural Hermitian scalar product describing probability density which is derived from angular momentum considerations. The generality of the model which is extensive is discussed.