Abstract
Relevance. The relevance of the stated subject of this scientific research is due to the importance of theoretical issues of alternative representation of the categories of space and time from the point of view of developing geometric solutions to problems of relativity theory, which are important in solving numerous practical issues encountered in various fields of modern science and technology.Purpose. The purpose of this research work is to form an alternative view of the categories of space and time, which are of significant practical importance for creating geometric solutions to problems that reflect certain principles of the theory of relativity.Methods. The basis of the methodological approach to the construction of research works in this scientific study was a combination of a systematic analysis of the features of compiling an alternative representation of the categories of space and time with an analytical study of the features of constructing geometric solutions to problems that reflect various problematic aspects of the general theory of relativity.Results. The results of this research work reflect the entire course of scientific research, and indicate the absence of contradictions in the very fact of the existence of alternative space-time models, as not meeting the fundamental principles of the special theory of relativity.Conclusions. The results and conclusions of this research have significant practical significance from the point of view of forming new ideas about the provisions of the special theory of relativity and the possibilities of practical use of geometric models to solve complex problems of this theory, through the use of corrected ideas about the real properties of space and time, and are also of significant importance for employees of design bureaus engaged in the development of the latest samples of high-tech equipment and using the principles of special relativity in their calculations
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