Quantum formalism for the dynamics of cognitive psychology

Abstract The cognitive state of mind concerning a range of choices to be made can be modelled efficiently by use of an element of a high-dimensional Hilbert space. The dynamics of the state of mind resulting from information acquisition can be characterised by the von Neumann–Lüders projection postu...

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Main Author: Dorje C. Brody
Format: Article
Language:English
Published: Nature Portfolio 2023-09-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-43403-4
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author Dorje C. Brody
author_facet Dorje C. Brody
author_sort Dorje C. Brody
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description Abstract The cognitive state of mind concerning a range of choices to be made can be modelled efficiently by use of an element of a high-dimensional Hilbert space. The dynamics of the state of mind resulting from information acquisition can be characterised by the von Neumann–Lüders projection postulate of quantum theory. This is shown to give rise to an uncertainty-minimising dynamical behaviour equivalent to Bayesian updating, hence providing an alternative approach to representing the dynamics of a cognitive state, consistent with the free energy principle in brain science. The quantum formalism, however, goes beyond the range of applicability of classical reasoning in explaining cognitive behaviour, thus opening up new and intriguing possibilities.
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spelling doaj.art-a980860b5a3f4e9d988bbdca8b9e59122023-11-20T09:14:53ZengNature PortfolioScientific Reports2045-23222023-09-0113111210.1038/s41598-023-43403-4Quantum formalism for the dynamics of cognitive psychologyDorje C. Brody0School of Mathematics and Physics, University of SurreyAbstract The cognitive state of mind concerning a range of choices to be made can be modelled efficiently by use of an element of a high-dimensional Hilbert space. The dynamics of the state of mind resulting from information acquisition can be characterised by the von Neumann–Lüders projection postulate of quantum theory. This is shown to give rise to an uncertainty-minimising dynamical behaviour equivalent to Bayesian updating, hence providing an alternative approach to representing the dynamics of a cognitive state, consistent with the free energy principle in brain science. The quantum formalism, however, goes beyond the range of applicability of classical reasoning in explaining cognitive behaviour, thus opening up new and intriguing possibilities.https://doi.org/10.1038/s41598-023-43403-4
spellingShingle Dorje C. Brody
Quantum formalism for the dynamics of cognitive psychology
Scientific Reports
title Quantum formalism for the dynamics of cognitive psychology
title_full Quantum formalism for the dynamics of cognitive psychology
title_fullStr Quantum formalism for the dynamics of cognitive psychology
title_full_unstemmed Quantum formalism for the dynamics of cognitive psychology
title_short Quantum formalism for the dynamics of cognitive psychology
title_sort quantum formalism for the dynamics of cognitive psychology
url https://doi.org/10.1038/s41598-023-43403-4
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