Abstract
An attempt to mathematically formalize the problem of intelligence causes difficulties, if only because there is no single definition for intelligence adopted by all psychologists. In this work, this problem is addressed in the following way: through highlighting the essential features of the informal definitions of human intelligence that have been given by expert psychologists it is conducive to put forward an abstract mathematical description of intelligence. Analogies between the problem of intelligence and the problem of quantum mechanical measurements are found, and then the solution to a model problem on the influence of observations on a process of quantum tunneling of particles through a potential barrier is given. Within the framework of the quantum mechanical approach with a non-Hermitian Hamiltonian, a system of differential equations, which formally reflect the concept of intelligence, is formulated, and its analytical solution is presented. On the basis of the obtained solution of the model problem, this paper discusses the question of what phenomena and processes can accompany a process of the realization of intelligence.
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Vladimir Abramovich Namiot, an outstanding scientist and remarkable person, passed away early this year. This article is part of the work that V. Namiot and I had carried out recently but did not have time to prepare the materials for publication together. I express my sincere gratitude to Vladimir Abramovich Namiot for the long years of productive joint work. L. Shchurova
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Shchurova, L.Y., Namiot, V.A. Formal Mathematical Description of Intelligence Concept in a Model Problem on the Influence of Observations on Quantum Processes. BIOPHYSICS 67, 1046–1054 (2022). https://doi.org/10.1134/S0006350922060227
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DOI: https://doi.org/10.1134/S0006350922060227