  Physics explains the laws of motion that govern the time evolution of
observable properties and the dynamical response of systems to various
interactions. However, quantum theory separates the observable part of physics
from the unobservable time evolution by introducing mathematical objects that
are only loosely connected to the actual physics by statistical concepts and
cannot be explained by any conventional sets of events. Here, I examine the
relation between statistics and dynamics in quantum theory and point out that
the Hilbert space formalism can be understood as a theory of ergodic
randomization, where the deterministic laws of motion define probabilities
according to a randomization of the dynamics that occurs in the processes of
state preparation and measurement.
