A non-Markovian process is one where future states depend upon the history or past, not just upon the current state. Jacob Barandes suggests* that "...perhaps when one takes physically fundamental non-Markovian processes and tries to shoehorn them into a Markovian paradigm, the result is quantum theory..."
* Pilot-Wave Theories as Hidden Markov Models, arXiv:2602.10569, 12 Feb. 2026
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