358(1): Fluid Gravitation

This note introduces the new subject area of fluid gravitation, in exact analogy with fluid electrodynamics within ECE2 unified field theory. The ECE2 equations of gravitation are exactly analogous with the equations of the fluid dynamics of spacetime, or aether. So a multitude of new insights emerges. For example, Eq. (5) shows that the gravitational field in matter is the electric field of spacetime fluid dynamics. There is an equilibrium between matter and spacetime (or vacuum or aether). The well known Newtonian gravitatonal field is given by Eq. (6), and induces a spacetime velocity field in exact analogy with pervious work on the electric field. Conversely any spacetime velocity field induces a gravitational field in matter. Eq. (17) shows that the material gravitomagnetic field is induced by the vorticity of spacetime, and vice versa. So the material gravitomagnetic field is governed by the vorticity equation of spacetime, which can be derived from the spacetime Navier Stokes equation as in recent UFT papers. Finally the vector potential of gravitation and gravitomagnetism in matter is the velocity field of spacetime (Eq. (20)). This means that the fluid dynamical equations of spacetime can induce both the gravitational and electromagnetic field equations of matter. This may be used to engineer gravitation with an electromagnetic field.


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