Stochastic-Quantum Correspondence

A research program developed by Jacob A. Barandes (2023, extended with collaborators through 2026) arguing that every quantum system is mathematically equivalent to a sufficiently general, non-Markovian ("indivisible") classical stochastic process. Within it, Barandes defines a "causal locality" condition distinct from both Bell's Local Causality and Horvat's Probabilistic Locality; a 2026 extension (with Hasan and Kagan) shows this condition is exactly strong enough to permit Bell-inequality violations up to, but not beyond, the Tsirelson bound. Matters to this vault as the peer-reviewed, structurally convergent precedent against which Sebastian Horvat's newer "Probabilistic Locality" principle is being measured — named by Horvat's own paper as a rival approach to the same target, not a confirming one.

References

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