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You're looking at it backwards. Barandes starts with unistochastic processes defined by stochastic maps across classical configurations...

Note again that Barandes's reformulation involves a configuration space C for both general stochastic systems and unistochastic systems...

A formalism does not imply any unique interpretation. A unistochastic process with a standard classical configuration space providing...

For those who want to investigate consistent histories further: https://quantum.phys.cmu.edu/CHS/histories.html Griffiths (no, not the...

The first line in his abstract: That is the correspondence he establishes.

This axiom offers up a natural ontological model: Systems have definite configurations at all times, as they do in Bohmian mechanics or...

He doesn't. He presents a correspondence between quantum theory and a unistochastic processes involving ordinary classical configuration...

@iste In a previous post, I wondered out loud about other such correspondences. In all the literature I am skimming, configuration...

@iste Rereading the convo, I think the confusion might be you think a classical configuration space is like a Hilbert space with many...

I wish you the best of luck in showing this. Please be specific with your example. And please cite the relevant literature.

PS this conversation is also straying from the recent paper by Albert. Unless there's something novel and specific in your response I'll...

@iste You keep straying from Barandes's literature. i) Barandes presents a kinematic axiom which says the system always has a...

Show me what that configuration space (note, not phase space) would look like. It's the observable itself that is diagonal or not...

Barandes's formalism involves a standard classical configuration space ##\mathcal{C}##. Whether it is, for example, a space of particle...

Beables have diagonal matrices wrt configurations, as they can be read off from the existing configuration (see equation 19 in the...