P.G. KUZNETSOV AND ENERGY FLOWS IN THE SPACE OF STRUCTURE (based on a report at the conference “International scientific and philosophical readings named after Pobisk Georgievich Kuznetsov”, RAS, October 25, 2019)

Petrov Andrey Eugenievitch, Doctor of Technical Sciences, Academician of the Russian Academy of Natural Sciences, Professor of the CAD Department of NSTU “MISiS”, Professor of the GIS Department of the University “Dubna”

Abstract

The law of conservation of power of dual networks connects the processes and structure, including complex economic systems. This is important for the analysis of energy flows when changing the structure of systems. However, to analyze the development of economic, biological systems, it is necessary to study the laws of power amplification (free energy). Power is a scalar that measures the magnitude of the energy flux vector (energy per unit time). At the same time, power is the square of the magnitude of the energy flux (as the sum of the products of the covariant and contravariant components of the vector). Thus, the dimension of the energy flux is the square root of the dimension of power, i.e. length and time are in a fractional degree. In the table of physical quantities Bartini-Kuznetsov there are no quantities with a fractional degree. Such a problem exists for the flow of energy flowing in one network. In two dual networks interacting in some way, the “halves” of the energy flow should merge into a physical quantity with a power dimension.

KEYWORDS: law of conservation of power, energy flows, processes and structure, dual networks, Bartini-Kuznetsov’s system of physical quantities.

Download article P.G. KUZNETSOV AND ENERGY FLOWS IN THE SPACE OF STRUCTURE (based on a report at the conference “International scientific and philosophical readings named after Pobisk Georgievich Kuznetsov”, RAS, October 25, 2019)