General Relativity in Newtonian Mechanics

by Salim Georges Khoury We will show in this paper that there exists in "Classical Newtonian Mechanics" a relationship between the curvature of space and the density of energy similar to that of "General Relativity". The Theory of General Relativity seems to replace , in this relationship of Newtonian Mechanics the Scalar quantities by their equivalent Tensors . DESCRIPTION Consider a point mass which is not subject to any external force. According to classical mechanics, its motion is uniform rectilinear and its velocity is constant equal to If this point mass passes near a mass with , it starts to turn around under the effect of gravitational force. Its trajectory is quasi-circular with radius . First Remark: The mass seems to curve the linear space of the mass . The force exerted by the mass on is: therefore which is equal at the same time to the centripetal acceleration of the uniform circular motion hence       ...