  Gravitomagnetic equations result from applying quaternionic differential
operators to the energy-momentum tensor. These equations are similar to the
Maxwell's EM equations. Both sets of the equations are isomorphic after
changing orientation of either the gravitomagnetic orbital force or the
magnetic induction. The gravitomagnetic equations turn out to be parent
equations generating the following set of equations: (a) the vorticity equation
giving solutions of vortices with nonzero vortex cores and with infinite
lifetime; (b) the Hamilton-Jacobi equation loaded by the quantum potential.
This equation in pair with the continuity equation leads to getting the
\Schrodinger equation describing a state of the superfluid quantum medium (a
modern version of the old ether); (c) gravitomagnetic wave equations loaded by
forces acting on the outer space. These waves obey to the Planck's law of
radiation.
