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NeuroQuantology

A Brief Note On Time Evolution of Quantum Wave Function and of Quantum Probabilities During Perception and Cognition of Human Subjects

Elio Conte

Published Sep 1, 2009• 9 citations
Publisher

Abstract

We apply our theory of quantum time dynamics of cognitive entities to experimental data in order to calculate the time evolution of quantum wave function and of quantum probabilities during cognitive processes of the human subject. The results are used in order to elucidate the mind mechanism of human decision under the perspective of quantum mechanics.

DOI
10.14704/nq.2009.7.3.243

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We apply our theory of quantum time dynamics of cognitive entities to experimental data in order to calculate the time evolution of quantum wave function and of quantum probabilities during cognitive processes of the human subject. The results are used in order to elucidate the mind mechanism of human decision under the perspective of quantum mechanics.
Quantum probability fields are involved during processing of human perception and cognition with a wave function that mathematically is articulated in a proper Hilbert space and conceptually represents the space of all the potential alternatives at a semantic and semiotic level. Each subject has developed a unique mind within his/her correspondent context, hence his/her own wave function requires to be displayed as a complex-valued probability amplitude. Reaction time as well as the time of observation / decision / measurement also represent important variables contributing to our cognitive response and having also proper neurological correlates. Mind is a so complex abstract entity so that we can certainly retain that, generally speaking, the observer and the observed system enter in the domain of what technically are considered to be un-complete specified systems . An elementary wave function remains insufficient to represent a mental state, whereas a quantum wave function, which exhibits intrinsic indetermination and fluctuation of the basic probability amplitudes, may be implemented. In this paper, along with von Neumann’s postulate for non-existing dispersion-free ensembles, a new quantum statistical approach is elaborated to elucidate the peculiar quantum mechanical feature of the context dependent dynamics of human cognitive conceptual processing. In the framework of the present quantum statistical elaboration we introduce for the first time the possibility of using the Pareto distribution as a probability density function. This result links quantum statistical mechanics with the science of complexity .
ABSTRACT Recent advances at the intersection of quantum physics, neuroscience, and cognitive science have renewed interest in whether quantum phenomena and quantum‐inspired formalisms can inform models of human cognition and decision‐making. While classical neural and computational models explain many aspects of perception and behavior, they face limitations in accounting for contextuality, order effects, probabilistic reasoning violations, ambiguity resolution, and rapid information integration. This review synthesizes evidence and theoretical frameworks linking quantum‐related principles to cognition, with emphasis on quantum sensing in biological systems, molecular and subcellular quantum‐relevant mechanisms, quantum‐to‐classical transition pathways, quantum‐inspired models of perception and decision‐making, and quantum‐inspired computational approaches. It also extends beyond the probabilistic arm of quantum cognition by considering emerging equilibrium‐based and causal‐logical theories, including mental equilibrium, brain‐universe similarity, mind‐light‐matter unity, quantum emergence, and quantum intelligence. Throughout, the review distinguishes physically instantiated quantum mechanisms from abstract quantum‐like formalisms that model contextuality, mental entanglement, and non‐separable cognitive dynamics without requiring sustained macroscopic quantum coherence in the brain. Finally, it identifies methodological challenges and future directions for advancing quantum cognitive science toward experimentally testable and biologically meaningful theories.
The article presents a review of foreign scientific literature on the quantum-like approach to understanding the modeling of cognition and decision-making processes. It is shown that the current application of quantum physics approaches to consciousness, psychological approaches such as perception, cognition, emotions, consciousness and learning, involves the search for a single objective mathematical model of what underlies the experience of the brain. The use of quantum physics algorithms can help in understanding the mechanisms of brain malfunctions and memory impairments that are found in pathologies such as dementia caused by Alzheimer's disease, schizophrenia, etc. Quantum physics approaches are applicable to issues of modeling cognition and decision-making processes, as well as in cognitive research, information processing by the human brain, artificial intelligence development, psychology, social and political sciences. Application of the abstract mathematical principles of quantum theory can help in understanding human consciousness and behavior. Quantum probability theory is applied to modeling human behavior due to the prevalence of uncertainty in human interaction with the world. Quantum cognitive models are especially useful in research in such areas as errors in decision making, order effects of questions, conceptual combinations, accumulation of evidence, perception, etc. Of particular interest to researchers are issues of quantum-like modeling of cognition and decision-making processes, the apparatus of quantum information and probability theory, useful for such modeling, as well as the use of such apparatus in cognitive research, the development of artificial intelligence, psychology, social and political sciences.
An overview of the conceptuality interpretation of quantum mechanics is presented, along with an explanation of how it sheds light on key quantum and relativistic phenomena. In particular, we show how the interpretation clarifies Heisenberg's uncertainty principle, wave function-based and entanglement-based non-locality, interference effects resulting from the superposition principle, delayed choice experiments, quantum measurements, the mechanism of quantization, the reason why entities can establish entanglement bonds and the statistical behaviour of indistinguishable entities. We further argue that the interpretation can also elucidate relativistic effects, focusing on time dilation. Finally, we suggest that it can provide a novel and challenging perspective on evolution. This article is the second in a two-part series devoted to exploring this promising approach to reality. The first part, which serves as a companion to this discussion, outlines the intellectual trajectory leading from the first applications of quantum notions to human cognition to the bold rethinking suggested by the conceptuality interpretation.This article is part of the theme issue 'Quantum theory and topology in models of decision making (Part 1)'.