Journal of Mathematical Physics
Relativistic Brownian motion and the space–time approach to quantum mechanics
Sisir Roy
Abstract
An attempt has been made to extend the stochastic quantization procedures introduced by Nelson in the nonrelativistic case to the relativistic case in the four-dimensional Finsler space. The space–time in the microdomain is considered to be quantized and a more general concept of probability is needed to have a consistent and complete theory of quantum mechanics.