The Dynamics of the Cosmic Fluid: Vorticity, Frame Dragging, and the Limits of a Topological Correspondence

The optical treatment of the Ether Plenum accounts for light deflection, the Shapiro delay, and gravitational redshift from a static density profile, but a static profile cannot produce rotational effects. This paper develops the dynamics required, applying the compressible Navier-Stokes momentum equation and the vorticity transport equation to the Plenum and examining what follows for frame dragging. The central mechanism is baroclinic generation: taking the curl of the momentum equation yields a source term proportional to the cross product of the density and pressure gradients divided by the square of the density, which vanishes identically when the two gradients are parallel and becomes non-zero when they are not. For a static spherically symmetric mass the gradients are parallel and no vorticity is generated, correctly predicting that a non-rotating body drags nothing. Rotation breaks the spherical symmetry, the gradients misalign, and vorticity is generated. The paper then addresses the correspondence with general relativity's Lense-Thirring effect, and does so with a candour earlier formulations in this series did not maintain. The classical Stokes solution for a sphere rotating within a viscous medium gives an azimuthal velocity proportional to the sine of the polar angle divided by the square of the radius, which is the same dipole topology as the relativistic drag velocity. That topological agreement is a genuine result. The amplitude, however, is not derived: it is matched by defining an effective coupling radius through the condition that the angular velocity times the cube of that radius equals twice the angular momentum times the gravitational constant divided by the square of light speed. Computing the ratio of the two fields after imposing this condition returns unity by construction, which is calibration rather than derivation, and the effective radius is accordingly the framework's second fitted constant alongside the equation-of-state parameter. For Earth, using the measured moment of inertia coefficient of 0.3307 rather than the uniform-sphere value, this radius is approximately 4920 metres. The paper states this accounting explicitly rather than leaving it for a reader to discover.