The fundamental mystery in the dark matter problem is in the flat rotation curve as the distance becomes large from the galactic center.

{courtesy from Dr. Greg Bothun}

Within the framework of the usual dark matter halo hypothesis, if the density of the halo is assumed to be constant, it will not generate the logarithmic potential which is necessary to address the flat rotation curve. If one wants to make up an arbitrary density function to make it fit the rotation curve, one has to explain how the distribution has come about that way. However, if the dark matter halo is made of the continuous cycling flux of the matter ejected by the jets, as predicted by the theory of dipole gravity, the volume density of the dark matter halo will not be constant, instead the flux density will be a constant, because it has the definite source located at the center of the rotating galaxy. The effective gravity potential produced by the dark matter halo can be expressed by

in general form, where ρ(r) represents the density function of the dark matter halo. Since the source of the dark matter halo is coming directly from the jets from the rotating galactic center, the total mass of the matter particles populated within the volume defined by 4 π r^2 times the unit length of r will be the same until the density of the halo diminishes to zero. So, the effective gravity potential within the applicable regime becomes

where M is the sum of the total mass within the volume element 4 π r^2 times the unit length of r. The logarithmic gravitational potential is the typical signature for the flat rotation curve.

The gravitational force within the relatively short distance from the center of the rotating galaxy is dominated by the strong dipole gravity force

as derived previously, which explains the sharply increasing slope in the rotation curve near the galactic center.

In his prophetic statement, Dr. Greg Bothun writes, quote

"However, it's important to realize that the "dark matter" problem exists only in the context of one known long range force (gravity). Suppose there is **another long range force** that we are ignorant of. If this is discovered by future physicists then they will look back at this "dark matter" cosmology much the same way we now view the early "geocentric" cosmologies."

How Lense-Thirring force is derived from dipole gravity?