The Galactic Puzzle
I found this posting lying around. I suspect I reached a conclusion here and forgot to post it. It explains the Galactic Puzzle where the edges of Galaxies rotate in the same angular speed as the centers of the Galaxies, in contradiction to Newton’s Gravitational Law..:) .
Spiral galaxies present a puzzling characteristic. Their most external stars are rotating at speeds that are too high to be still attached to the galaxy if one considers Newton’s law.
Of course, if we consider the Hypergeometrical Gyrogravitational Law there is no anomaly. The Gyrogravitational Potential is given by:
Equating the Gyrogravitational Force to the Centrifugal Force one derives the Equilibrium Radius:
As you can see, this equation is quite more complex than the standard one from Newton’s Law of Gravitation.
Let’s consider that all velocities are tangential, thus perpendicular to R. If one considers that for the Galaxy to keep its equilibrium shape while rotating 
and 
Under those conditions the equilibrium R is given by:
Life is Stranger than Fiction…:)
is the ratio between the Newtonian Gravitational Force and the Centrifugal Force.
The Galactic Puzzle is how to explain situations where this ratio seems to be smaller than one, that is, it seems that there is equilibrium but the Centrifugal Force is too strong. Under those conditions 
Or
Or there is a lag of more than 90 degrees between the rotation of the slowly rotating SuperMassive Black Hole and the star on the edge of the Spiral Galaxy.
This is the condition for the creation of the Spiral.
This is a simplified derivation. A proper analysis would take into consideration the Galactic Mass Distribution; integrate over it and possibly take into consideration the effect of retarded potentials.
Despite of being a simplified derivation it already shows how in the vicinity of the SuperMassive Black Hole the beginning of the Spiral Galaxy takes shape.
I am sure you are all thinking…
Hey, that is cheating…:)
After all, I didn’t use Newton’s Equation… I used something I derived from first principles which reduces to Newton’s equation when nothing moves..(rotates).
That is the benefit of starting from a fundamental theory like the Hypergeometrical Universe Theory…:)
Cheers,
MP
PS- The inwards force is not unlike the self force felt by coils in a magnet (current loop). The current creates a magnetic field which itself exerts pressure on the coils. Remember that both electromagnetism and gravitation are explained by the same equations.