Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 2, Pages 95-110
Oscillations of a polarizable vacuum
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.