It is well known that there exists certain class of physical observables like momentum and position which are common to both classical and quantum mechanics, and has different 'kinds of predictability' depending on if it is classical or quantum . Certain other quantities like charge are common to both classical and quantum physics and have the same 'kinds of determinism' irrespective of if its referring to a classical or a quantum system.What is the fundamental reason behind this partitioning of the set of physical observables that are common to classical and quantum physics on the basis of the kinds of determinism which I have defined below.
p.s By 'kinds of predictability' I refer to the following two types of outcomes a theory can produce:
predictions for individual outcomes
Predictions of ontic probability probability distributions.