Characterize local stochastic reproductions of quantum vacuum correlations

Determine whether local stochastic models can reproduce quantum vacuum correlations without possessing a local Hamiltonian description.

Background

The paper’s proposed distinction between classical and quantum evolution relies on assumptions about unitary Hamiltonian dynamics and the structure of correlations generated by that dynamics. The conclusion identifies a broader unresolved issue: whether the observed quantum-vacuum correlation patterns necessarily imply a local Hamiltonian evolution, or whether they could instead arise from local stochastic models outside that framework. Resolving this question would test how general the proposed correlation-based quantum diagnostic really is.

References

One may certainly wonder if there exists local stochastic models that can reproduce quantum vacuum correlations but do not have a local Hamiltonian description.

For Whom Does Bell Hold?  (2609.10535 - Green et al., 9 Sep 2026) in Section 6, Conclusions