Covariant Formulation of Fluid Dynamics and Estakhr's Material Geodesic Equation, far down the Rabbit hole

``When i meet God, I am going to ask him two questions, why relativity and why turbulence. A. Einstein'' You probably will not need to ask these questions of God, I've already answered both of them. $U^{\mu}=\gamma (c,u(\vec {r}, t))$ denotes four-velocity field. $J^{\mu}=\rho U^{\mu}$ denotes four-current mass density. Estakhr's Material-Geodesic equation is developed analogy of Navier Stokes equation and Einstein Geodesic equation. $\frac{DJ^{\mu}}{D\tau}=\frac{dJ^{\mu}}{D\tau}+\Gamma^{\mu}_{\alpha\beta}J^{\alpha}U^{\beta}=J_{\nu}\Omega^{\mu\nu}+\partial_{\nu}T^{\mu\nu}+\Gamma^{\mu}_{\alpha\beta}J^{\alpha}U^{\beta}$ Covariant formulation of fluid dynamics, describe the motion of fluid substances. The local existence and uniqueness theorem for geodesics states that geodesics on a smooth manifold with an affine connection exist, and are unique. EMG equation is also applicable in different branches of physics, it all depend on what you mean by 4-current density, if you mean 4-current electron number density then it is plasma physics, if you mean 4-current electron charge density then it is $\frac{DJ^{\mu}}{D\tau}=J_{\nu}F^{\mu\nu}+\partial_{\nu}T^{\mu\nu}+\Gamma^{\mu}_{\alpha\beta}J^{\alpha}U^{\beta}$ electromagnetism.