A FEW REMARKS ON THE CONCEPT OF PREGEOMETRY DEVELOPED BY YU.S. VLADIMIROV AND LAID BY HIM THE BASIS OF IDEAS ABOUT THE PHYSICAL AND MATHEMATICAL STRUCTURE OF SPACE-TIME

In the program of physical research, formulated by Yu.S. Vladimirov and close to those tasks that are called the geometrization of physics, the author presents an original view on the creative process in physics, which began with the concept of physical structures of Yu.I. Kulakov. Vladimirov used Kulakov’s meta- physical concept to create a geometric image of the world in order to move from it to the study of the structure of space-time with subsequent filling it with physical content. The result is a relational theory of space-time, which is based on axiomatic called pregeometry. In this article, this axiomatics is subjected to critical reflection, its positive and negative points are noted. Among the shortcomings, the author of the Remarks refers a one-sided approach to the concept of physical interaction, where any effect or influence of one physical object on another seems to be long-range in the sense that the action is transmitted without any intermediary and at infinite speed. Another point of view: long-range action should be supplemented by short-range action, because these are two necessary aspects of physical reality. The idea of complementarity of 1. Bohr extends to them: contraria sunt complementa (opposites are complementary).

pregeometry, space, time, long-range, short-range interaction, geometrization of physics, Lobachevsky geometry