Fra
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This fact is one reason for my own views. What is "stationary or not", is I think also relative. Ie. relative to the speed of information processing of the observer. This is why IMO what is "stationary enough" is observer dependent.A. Neumaier said:the arbitrarily accurate measurement of the state of a nonstationary system is in principle impossible.
Any realistic scenario is necessarily about decision making and placing best under incomplete information, of the sort that we can not even measure the incompleteness. This is why seek an instrinsic starting point.
Just as the case of the impure state, real total limitations of predictability have two reasons, one is the classical one which we can think of as just ignorance of agent (or it beeing misinformed etc), and the other thing which has to do with dependence between pieces of information, which is the essence of quantum mechanics. Certainly both issues are important in a real inference, and perheps also it's interplay.
/Fredrik