Article Geometry and Physic in Gravitation Theory

This article is devoted to analysis of the relation of geometrical and physical quantities in the Newtonian theory of gravitation, general relativity and Lorentz-invariant gravitation theory (LIGT), and also to clarification of the physical meaning of the metric tensor and the space-time interval in the Euclidean, pseudo-Euclidean and pseudo-Riemannian spaces. The succession of the use of geometric concepts in these three theories is shown. It is shown that the math expression of interval is mutually uniquely associated with physical equations of elementary particles and LIGT. It is also shown that in LIGT the metric tensor has the physical meaning of the scale factor, defined by means of the Lorentz-invariant transformations. Evidence are given of that the metric tensor in general relativity should have the same meaning. Key words: Euclidean space and time; pseudo-Euclidean space-time; pseudo-Riemanian space-tim