Scientific research in this paper showed that the modern fundamental classical kinematics of body or point motion contain an incorrect understanding of the physical process of movement of matter. In a consequence, analytical mechanics, theoretical mechanics, continuum theory and etc., contain an incorrect understanding of the physical process of the movement of matter and its characteristics, such as energy, its change, work, kinetic energy, and so on.In addition, this led to a misinterpretation of Newton's theory of gravity, the theory of free fall of a body and the universal law of change and conservation of energy to describe the motion of matter in a gravitational field. The theories that are not consistent with each other describing the same natural phenomenon. And these errors have penetrated deeply into the ranks of equivalent methods of formal mathematical description of classical mechanics:u2022 * Newton's laws ;u2022 Lagrange formalism;u2022 Hamiltonian formalism;u2022 Hamilton—Jacobi formalism.But, with a view to create a new general theory of relativity, it is necessary to investigate and eliminate these causes in these theories which describing the same natural phenomenon.