Beyond the quantum formalism: consequences of a neural-oscillator model to quantum cognition
This work addresses foundational issues in quantum cognition by showing limitations of quantum models in predicting higher-order correlations, which is incremental but clarifies theoretical boundaries.
The paper presents a neural oscillator model that exhibits quantum-like behavior and demonstrates that a quantum model fitting pairwise correlations fails to predict triple moments, contrasting with prior work that used rationality criteria to bound such moments.
In this paper we present a neural oscillator model of stimulus response theory that exhibits quantum-like behavior. We then show that without adding any additional assumptions, a quantum model constructed to fit observable pairwise correlations has no predictive power over the unknown triple moment, obtainable through the activation of multiple oscillators. We compare this with the results obtained in de Barros (2013), where a criteria of rationality gives optimal ranges for the triple moment.