Physics with exotic probability theory

Probability theory can be modified in essentially one way while maintaining consistency with the basic Bayesian framework. This modification results in copies of probability theory for real, complex or quaternion probabilities. These copies, in turn, allow one to derive quantum theory while restoring standard probability theory in the classical limit. These exotic theories are quite substantially simpler than quantum mechanics both conceptually and mathematically. I'll explain how this comes about, discuss Field theory results by Srinivasan and attempt to formulate questions which go beyond basic quantum theory where new insights are needed. Some of this material is available as hep-th/0110253.
hep group
Last modified: Mon Nov 26 02:51:50 EST 2001