Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 2, Pages 95-110

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

Copyright © 1991 James G. Gilson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.