On Lorentz-invariant Theory of Gravitation Part 3: Optical-mechanical Analogy and the Particle-wave Duality in the Theory of Gravity

Abstract

The two features of the behavior of bodies and fields in mechanics, electromagnetic theory, quantum theory and theory of gravity are compared in the article: the optical-mechanical analogy and the wave-particle dualism. It is shown that in terms of mathematical description the two features are similar in all cases. On this basis, it can hypothesized that the gravitational equation of general relativity is a generalization of the wave equation of the gravitational field.  Convincing reasons are given to justify this hypothesis. It is assumed that the wave equation of the nonlinear theory of elementary particles (NTEP) can be considered as a contender for the role of gravitational equations.