Entanglement Zoo II: Examples in Physics and Cognition
This work provides a novel modeling approach for nonlocal phenomena in both cognitive science and physics, though it appears incremental as it builds on a previously presented general scheme.
The paper tackles the problem of modeling situations that violate Bell's inequalities by applying a quantum scheme to cognitive concepts and a physical system, resulting in a quantum Hilbert space model with entangled measurements and state entanglement, and demonstrating maximal violation of Bell's inequalities for the connected vessels of water.
We have recently presented a general scheme enabling quantum modeling of different types of situations that violate Bell's inequalities. In this paper, we specify this scheme for a combination of two concepts. We work out a quantum Hilbert space model where 'entangled measurements' occur in addition to the expected 'entanglement between the component concepts', or 'state entanglement'. We extend this result to a macroscopic physical entity, the 'connected vessels of water', which maximally violates Bell's inequalities. We enlighten the structural and conceptual analogies between the cognitive and physical situations which are both examples of a nonlocal non-marginal box modeling in our classification.