Концепція відкритої динамічної системи

Abstract

The concept of an open dynamical system as a general model of the development of systems and processes of various nature is proposed. It is based on a new interpretation of M. Mesarovich’s theorem on the decomposition of the Universum, and the concept of observation as an asymmetric relation corresponding to the movement of basis elements of a set of states of a dynamical system between its external and internal space. The element of the basis, according to the concept of geometrodynamics, exists as a vortex in an empty curved internal space of a dynamical system, or as an elementary particle that transfers a quantum of energy when observed. An open dynamical system is defined as a finite dynamical system exchanging observations with the environment, divided into local, representing an inverse dynamical system, and external, where external observations come from. In the intervals between external observations, it exists as a conservative dynamical system. It is regarded the evolution of dynamic systems in the process of expansion and cooling of the Universe: the appearance of elementary particles and atoms, the formation of complex molecules and chain macromolecules, the appearance of living cells, the formation of multicellular organisms, the nervous system and the brain, the appearance of a human and the intellect, the development of society and civilization. With the emergence of life, open dynamic systems became distributed and perform the functions of natural selection of members of the population, and after the appearance of intelligence and the formation of society, they realize social intelligence and become virtual. Threats of uncontrolled behavior of virtual systems, in particular digital artificial intelligence systems, which can neglect the discreteness of space-time due to the use in their design of the classical model of infinitesimal, which do not exist due to the discreteness of space-time, are considered. The incompatibility of the classical model with the discrete model of an open dynamic system is an urgent scientific problem that requires further study.