Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity

We discuss the asymmetries of dynamical origin that are relevant to functional brain activity. The brain is permanently open to its environment, and its dissipative dynamics is characterized indeed by the asymmetries under time translation transformations and time-reversal transformations, which man...

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Main Authors: David Bernal-Casas, Giuseppe Vitiello
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/12/2184
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author David Bernal-Casas
Giuseppe Vitiello
author_facet David Bernal-Casas
Giuseppe Vitiello
author_sort David Bernal-Casas
collection DOAJ
description We discuss the asymmetries of dynamical origin that are relevant to functional brain activity. The brain is permanently open to its environment, and its dissipative dynamics is characterized indeed by the asymmetries under time translation transformations and time-reversal transformations, which manifest themselves in the irreversible “arrow of time”. Another asymmetry of dynamical origin arises from the breakdown of the rotational symmetry of molecular electric dipoles, triggered by incoming stimuli, which manifests in long-range dipole-dipole correlations favoring neuronal correlations. In the dissipative model, neurons, glial cells, and other biological components are classical structures. The dipole vibrational fields are quantum variables. We review the quantum field theory model of the brain proposed by Ricciardi and Umezawa and its subsequent extension to dissipative dynamics. We then show that Bayes’ theorem in probability theory is intrinsic to the structure of the brain states and discuss its strict relation with entanglement phenomena and free energy minimization. The brain estimates the action with a higher Bayes probability to be taken to produce the aimed effect. Bayes’ rule provides the formal basis of the intentionality in brain activity, which we also discuss in relation to mind and consciousness.
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spelling doaj.art-acdc1ed626ad401db18282ad34775bd92023-12-22T14:45:20ZengMDPI AGSymmetry2073-89942023-12-011512218410.3390/sym15122184Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional ActivityDavid Bernal-Casas0Giuseppe Vitiello1Department of Genetics, Microbiology and Statistics, Faculty of Biology, University of Barcelona, 08028 Barcelona, SpainDepartment of Physics “E.R. Caianiello”, University of Salerno, 84084 Fisciano, Salerno, ItalyWe discuss the asymmetries of dynamical origin that are relevant to functional brain activity. The brain is permanently open to its environment, and its dissipative dynamics is characterized indeed by the asymmetries under time translation transformations and time-reversal transformations, which manifest themselves in the irreversible “arrow of time”. Another asymmetry of dynamical origin arises from the breakdown of the rotational symmetry of molecular electric dipoles, triggered by incoming stimuli, which manifests in long-range dipole-dipole correlations favoring neuronal correlations. In the dissipative model, neurons, glial cells, and other biological components are classical structures. The dipole vibrational fields are quantum variables. We review the quantum field theory model of the brain proposed by Ricciardi and Umezawa and its subsequent extension to dissipative dynamics. We then show that Bayes’ theorem in probability theory is intrinsic to the structure of the brain states and discuss its strict relation with entanglement phenomena and free energy minimization. The brain estimates the action with a higher Bayes probability to be taken to produce the aimed effect. Bayes’ rule provides the formal basis of the intentionality in brain activity, which we also discuss in relation to mind and consciousness.https://www.mdpi.com/2073-8994/15/12/2184brain dynamical asymmetriesarrow of timespontaneous breakdown of symmetrycoherent statesBayes’ theorementanglement
spellingShingle David Bernal-Casas
Giuseppe Vitiello
Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity
Symmetry
brain dynamical asymmetries
arrow of time
spontaneous breakdown of symmetry
coherent states
Bayes’ theorem
entanglement
title Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity
title_full Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity
title_fullStr Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity
title_full_unstemmed Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity
title_short Dynamical Asymmetries, the Bayes’ Theorem, Entanglement, and Intentionality in the Brain Functional Activity
title_sort dynamical asymmetries the bayes theorem entanglement and intentionality in the brain functional activity
topic brain dynamical asymmetries
arrow of time
spontaneous breakdown of symmetry
coherent states
Bayes’ theorem
entanglement
url https://www.mdpi.com/2073-8994/15/12/2184
work_keys_str_mv AT davidbernalcasas dynamicalasymmetriesthebayestheorementanglementandintentionalityinthebrainfunctionalactivity
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