On the nature of the sustainability of the process in time

Introduction. Why do the ideas about time in ‘The Iliad’ and in the conditions of modern transmission speeds of large flows of information unexpectedly converge, and the key point is the study of the forms of stability of the process in time? What do we really mean by ingrained thinking and sustainable development, and how do they relate to the evolutionary nature of sustainable processes? The purpose of this paper is to present the form of a sustainable process, its constructive deployment in time by means of a natural science analysis. Materials and Methods. Based on the materials and methods of measuring time-varying quantities, as well as set-theoretic prerequisites for branching the process, it is proposed to look for natural scientific grounds for analyzing the sustainable development of trends in culture in general, in information processes and the education system, in particular. Here we will also try to take a well-known point of view (K. Lorentz, I. Prigozhin), when time, irreversibility, randomness in some constructive process relate to inanimate matter, to life, and to human. Results. Based on the analysis carried out by the author, the answer to the question of whether there are natural conditions for the sustainability of the object-process, in what aspect we can discuss the constructiveness of time, the evolutionary rooting of sustainable processes, branching points and the ‘stretching’ of a sustainable educational process into the future is presented. Conclusions. Our ideas about the processes in time and the conditions of their sustainability in the broadest cultural aspect, including the education system, need to be clarified. The constructive deployment of the process in time has its own structure that ensures the evolutionary rooting of the process and, in particular, the educational process.