The following mechanism may underlie it. The direction of the probability field is determined by the geometric field which physically acts as the standard of measure. In the positional field, any collection of N particles or N trials will disperse to uniform distribution.
All particles have a wave nature when in relative motion to any observer.
This process must be utterly fundamental if wavelike properties are to be employed in a geometric structure which does not spread out like ripples in a pond. Fermions - the TLC forms are rotated 180 o with the L form displaying handedness. Also, T and C forms may be logically the same for present purposes. Nor do I know of any mechanism for generating any subatomic particles beyound electron, proton, neutron.