Modeling Cognitive Activity of the Human Brain by the Mathematical Apparatus of Quantum Mechanics

Alexandr Petukhov

doi:10.1051/epjconf/202124801024

Abstract

This paper discusses the possible approaches to modeling the cognitive activity of the human brain using the mathematical apparatus of quantum mechanics (primarily – potential wells and virtual particles) in terms of the theory of information representations. The article briefly describes the proposed theory of information representations, draws analogies, and identifies common features of information representations of the human mind and Feynman’s virtual particles. The human mind is represented as a one-dimensional potential well with finite walls of different sizes and internal potential barrier simulating the boundary between consciousness and subconsciousness. This creates a foundation for a mathematical apparatus that can make it possible to forecast particular cognitive functions of the human brain. The results of these studies can be used to create predictive models of various cognitive disorders (diseases) and to be used in diagnostics.

Highlights

Natural s cience as pects o f h ow t he e nvironmental information factors i mpact liv ing systems a re s till relatively p oorly studied [ 1]
T here h as been q uite a number of new e lectrophysiological methods c reated, primarily, t he r egistration o f e voked a nd e vent-related potentials recorded in experimental behavioral situations, that made i t pos sible t o a pproach t he s tudy of physiological m echanisms of individual stages o f information pr ocessing: sensory a nalysis, a ttention mobilization, i mage f ormation, e xtraction o f memory standards, d ecision making, et c
T hese i mages have quite specific material structure at the heart of their functioning, from the point of view of conventional mathematical models t heir d escription is d ifficult for several reasons [11]

Summary

Introduction

Natural s cience as pects o f h ow t he e nvironmental information factors i mpact liv ing systems a re s till relatively p oorly studied [ 1]. T hese i mages have quite specific material structure at the heart of their functioning (namely, electrical a nd chemical a ctivity in the human brain), from the point of view of conventional mathematical models t heir d escription is d ifficult for several reasons [11] T his pa per pr oposes new methods f or describing t he act ivity o f i nformation r epresentations (which, i n t urn, s imulate t he c ognitive a ctivity o f a n individual) b ased o n t he mathematical ap paratus o f quantum physics ( potential wells a nd v irtual p articles used i n phy sics t o de scribe f undamental i nteractions [14])

A brief overview of the theory of information representations

A brief overview of the theory of information images

Mathematical apparatus

Conclusion