A Promising New Formulation of Quantum Mechanics

I've been watching the series of interviews that Curt Jaimungal conducted of Jacob Barandes from Harvard. The first, which is probably the most exciting (bang for the buck), here, runs over two hours. I found the discussion scintillating and probably the best thing on approaches to quantum mechanics in quite some time.

So far, I don't know much about Barandes's approach beyond what I've seen in these videos, but my understanding is that he derives the textbook axioms of quantum mechanics, which have always appeared rather strange and arbitrary, from a couple much simpler and entirely natural axioms involving undivided stochastic systems. And that this broader picture does away with the need for mystical interpretations of QM, including and most especially Many Worlds.

For those more interested in the formalism, there is this two-hour online seminar Barandes gave on the derivation of Hilbert Space from his stochastic expressions.

A friend who's an active theoretical physicist thinks this approach can provide some new tools for understanding physics. He says Barandes knows what he's talking about. I like Barandes's philosophical approach to physics, though I do think it's too limiting to restrict philosophical physics to the analysis of physics, theory and experiments. Why not also allow it the analysis of nature itself?

To me the most appealing point of Barandes's Undivided Stochastic Systems approach is the "undivided": the fact that motions are treated as indivisible wholes, and that imposing the requirement that these wholes be treated as divisible is what produces much of the quantum craziness. Recall that in the latter half of Physics, Aristotle discusses the wholeness of motions, and further, that the unity of motion is closely related to the unity of substance. I'm not sure there's a close connection of Barandes's work to Aristotle, but the former does seem to provide an opening for an incipient unity or teleology. More study is needed.