Physical and geometric ideas as the law of unity of opposites

Abstract

The article analyzes the possibility of geometry and geometric ideas in describing physical reality and the elucidation that geometrical ideas are a necessity or an accident. It is noted that in the construction of physical theory two opposite directions are observed. Physico-geometric relationships, that is, the interaction of physics with geometric ideas in a methodological sense can be characterized by the dialectical logic of cognition. It is shown that through physical and geometric interactions it is possible to disclose the content of natural phenomena and the subject-sense relation to them of man, and through systems of concepts to know the dialectics of physical theory. These two tendencies are internally interrelated and conditioned. Disclosure of the essential nature of physico-geometric interaction helps to understand the meaning of such concepts as conservation, symmetry, invariance, equivalence and other structural-content elements of the theory. They determine the geometric and dynamic properties of the internal content of physical processes, give grounds for a different theoretical description, which no longer considers the dynamics of physical processes, that is, the laws of changing state parameters under the action of forces of different nature, but certain types of spatial and temporal symmetry associated with the preservation of that or other dynamic characteristics.