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Spin and Wind Directions II: A Bell State Quantum Model.

Diederik Aerts¹, Jonito Aerts Arguëlles², Lester Beltran³

¹1Center Leo Apostel for Interdisciplinary Studies and Department of Mathematics, Brussels Free University, Krijgskundestraat 33, 1160 Brussels, Belgium.

Foundations of Science

|May 29, 2018

Summary

This study demonstrates that a cognitive experiment violates Bell's inequality, similar to physics experiments. A refined experiment confirms this violation while adhering to the marginal law, supported by quantum modeling and addressing criticisms of entanglement interpretations.

Keywords:

Bell’s inequalities Entanglement Human cognition Marginal law Quantum structures

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Area of Science:

Cognitive Psychology
Quantum Mechanics
Foundations of Science

Background:

Previous work analyzed a cognitive experiment violating the CHSH Bell inequality.
Typical Bell-test experiments in physics show similar violations.

Purpose of the Study:

Complete the analysis of the cognitive experiment with a symmetrized version.
Provide a quantum mechanical model for the observed phenomena.
Address criticisms regarding genuine entanglement in such experiments.

Main Methods:

Conducted a symmetrized cognitive experiment.
Applied quantum modeling in Hilbert space using a singlet state and product measurements.
Developed a mechanical model to differentiate mechanisms of inequality violations.

Main Results:

The symmetrized experiment violated the CHSH inequality.
The experiment also obeyed the marginal law.
Quantum modeling successfully explained the results.
Criticisms regarding entanglement were addressed by proposing a broader definition.

Conclusions:

Cognitive experiments can exhibit quantum-like correlations, violating Bell inequalities.
A broader understanding of entanglement is needed to encompass diverse physical and conceptual systems.
Marginal law violations and Bell inequality violations are mechanistically distinct.