Fractals in quantum mechanics: from theory to practical applications

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This article examines the use of fractals to estimate the probability of classical events controlled by quantum processes. A hypothesis explaining the opposite charges of the positron and electron is discussed, as well as the relationship with the main modern theories of quantum mechanics, such as quantum electrodynamics (QED), string theory, etc. The relationship with the tunnel effect and the pulsed tunnel effect is considered. Examples of practical application of fractals are given, for example, in photocatalysts. The concepts of the effective mass of a photon and the quantum nature of elementary particles, the idea of their internal structure and the formation of matter from the point of view of quantum mechanics are touched upon. Particular attention is paid to the fractal structure of the quantum field as a probability associated with the formation of a positron or electron, and the mathematical connection with the Dirac equation, QED and the Schrödinger equation.

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作者简介

Rustam Rakhimov

Institute of Materials Science of the Academy of Science of Uzbekistan

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Email: rustam-shsul@yandex.com
ORCID iD: 0000-0001-6964-9260
SPIN 代码: 3026-2619

Dr. Sci. (Eng.), Head, Laboratory No. 1

乌兹别克斯坦, Tashkent

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