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Vol. 9 pp. 402-420

F.I. Mavrikidi, S.A. Khorkov

 

NUMERICAL ASYMMETRY FOR THEORETICAL ECOLOGY: FORMAL STRUCTURES OF THE SYSTEM

 

                                                               People obey the laws of nature,

 even when they act against them. I.W. Goethe

Annotation. It is noted that the formal expression of the biological content of ecology is the principle of numerical asymmetry, which unifies real and p-adic numbers. The epistemological meaning of numerical asymmetry lies in the fact that a deep understanding of Nature requires at least two mutually complementary concepts. This approach is not accepted by traditional mathematics. The proposed approach to theoretical ecology makes it possible to develop new methods for its modeling and to discern those essential aspects of biological reality that are not discoverable by standard mathematical physics. It is shown that the means for this development is the biological interpretation of p-adic numbers, which allow the integration of the mathematics of ecology into a coherent theory of complex systems. The specificity of the method is seen in the inclusion of humans in the theory, which provides a basis for substantively developing the ideas of the ecologization of thinking.

Keywords: system, fractal, duality, numerical asymmetry, theoretical ecology, biomathematics, biology hologram.

For citation: Mavrikidi F.I., Khor'kov S.A. [Numerical asymmetry for Theoretical Ecology: formal structures of the system] Upravlenie tekhnosferoi, 2026, vol. 9, issue 2, рр. 402–420. DOI: 10.35634/UdSU.2026.35.38.009. (In Russ.).

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About the Authors

Mavrikidi Fyodor Ivanovich

Candidate of Technical Sciences, senior researcher, Institute of oil and gas problems of the Russian Academy of Sciences, Moscow, Russia.

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Khorkov Sergey Alekseevich

Associate Professor of the Department of Thermal Power Engineering, Institute of Oil and Gas named after M.S. Gutseriev, Federal State Budgetary Educational Institution of Higher Education "Udmurt State University", 426034, University st., 1, Izhevsk, Russia.

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