---
title: "Stochastic-Quantum Correspondence"
type: "entity"
entity_kind: "concept"
status: "hub"
canonical_name: "Stochastic-Quantum Correspondence"
aliases: ["causal locality (Barandes)"]
first_seen: "2026-11-05T00:00:00.000Z"
writer_model: "claude-sonnet-5"
provenance: "Promotion from 10-inbox/raw/2026-11-04-the-horvat-probabilistic-locality-branch-now-rests-three.md, 2026-11-05"
connects_to: ["Jacob A. Barandes","Bell's theorem","Probabilistic Locality","Tsirelson bound","quantum foundations"]
seek_code_commit: "d40ee39"
---


A research program developed by [[entity-jacob-barandes|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 [[entity-sebastian-horvat|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
- [[claim-barandes-stochastic-quantum-correspondence-structurally-converges-with-horvat-not-corroborates]]