#93 Comparison diagram of the gravitational potential energy of a black hole versus an equivalent mass ordinary inverse square gravitational field P.E. diagram illustrating how the hyperbolic gravity potential energy is almost always larger than the usual inverse square gravitational field. This provides a mechanism for broad influence of the HSBH (hyperbolic supermassive black hole) field far beyond a spiral galaxy, galactic cluster, supercluster or even a galactic "wall". It has a "halo" of gravitational influence. So, it behaves exactly like Dark Matter. It IS Dark Matter.
When extended to the whole universe, these become a "state" diagram, reminiscent of Tanabe-Sugano transition metal crystal field diagrams.There can be transitions between states or the states may superpose to form a quantum mixture or hybrid state or both.