On the Theories of Gravitation Developed Based on the Ideas of Galileo and Descartes

Abstract

As it’s known, the results of the relativistic theory of gravitation were developed by Einstein, which were based on the ideas of Galileo's principle of relativity. On the other hand, it should be noted that Descartes developed a more general approach to the foundation of the theory of knowledge, leading to the derivation of Hamilton's equation. Subsequently, the fundamental equations of the Hamilton-Jacobi-Schrödinger theory (HJS) were obtained by solving them for a multitude of bodies (particles) subject to constraints, and Gibbs' equations for the case when particles move chaotically. In the article, the author attempts to demonstrate the possibilities of interpreting the nature of the HJS equations as a basis for developing a new variant of the theory of gravitation.