Quantum Mechanics as an exotic probability theory:

  1. Saul Youssef, Physics with exotic probability theory(2001).
  2. Saul Youssef, Quantum Mechanics as an Exotic Probability Theory, proceedings of the Fifteenth International Workshop on Maximum Entropy and Bayesian Methods, ed. K.M.Hanson and R.N.Silver, Santa Fe, August, 1995.
  3. Saul Youssef, Quantum Mechanics as Complex Probability Theory, Mod.Phys.Lett A9, 2571 (1994).
  4. Saul Youssef, A Reformulation of Quantum Mechanics, Mod.Phys.Lett. A6, 225-236 (1991).
  5. Saul Youssef, Is Quantum Mechanics an Exotic Probability Theory?, in Fundamental Problems in Quantum Theory; Conference in Honor of Professor John A. Wheeler, ed: D.M. Greenberger and A. Zeilinger, Annals of the New York Academy of Sciences, Volume 755, April, 1995.
  6. Saul Youssef, Is Complex Probability Theory Consistent with Bell's Theorem?, Phys.Lett. A204, 181(1995).
Here's a collection of related references. Don't miss Srinivasan's papers - he gets the Dirac equation from quaternion probabilities and re-does the Lamb shift calculation.