The vortex nature of the space-time curvature.

Fundamental physical phenomena, such as gravity, electromagnetism and light have been studied over the last centuries for their properties, mechanics and for their relationships to one-another. Bernoulli proposed in 1736 a vortex-sponge theory to describe light in mechanical terms which was later postulated by using Maxwell's vortex equations. In this study we use a supersymmetric Hamiltonian recently developed for quantum systems to describe the vortex nature of space-time curvature arising at gravity sources. We use the solar system as model and describe the gravitational effect on space-time as a sheer result of vorticity in the gravity field, maintaining planets in their elliptic orbit and bending space-time in a similar fashion to Einstein's gravity sink model. It is shown that from the Einstein equations for the post-Newtonian metric, the nonlinear diffusion equation and the Schrödinger equation can be derived. The results are analyzed numerically and the dynamics of the system studied.Modeling of quantum vorticity and turbulence in two- and three-dimensional systems