Hopefully I understood this and to make sure I will rephrase so you can correct me Absolute determinism is equivalent to history dependence the entire chain of events leading to this event as opposed to a stochastic process that has the Markov property is memoryless depending only upon the present state not on the sequence of events that preceded it describing a Markov chain If so this may be the root of all evil so to say QM depends on probability distributions The even more restrictive Markov chains can be used in QM as a way to compute example The problem is discreteness vs continuity Markov chains are discrete but QM has a continuous time evolution and therein lies conflict Is the history dependence what you would like to see clarified