Mass and Angular Momentum
Paul Wesson has proposed that a new constant equating angular momentum and the square of the mass of an astronomical body must exist on theoretical grounds. An investigation by  Peter Brosche  has verified its existence. Wesson postulated the constant on the following grounds. If the significant constants in particle physics, h bar, electric charge, and the speed of light  can be combined into a dimensionless number, the fine structure constant; why could not the gravitational constants be combined to form a gravitational fine structure constant. They cannot because there are only two constants in gravitation, the gravitational constant, G, and the speed of light,c. If the needed third constant existed it would have to have dimensions of angular momentum divided by mass squared. In other words it would be a proportionality constant equating angular momentum and mass squared.
  If this relationship exists at all, it should be apparent in large systems where gravity is the only force involved. An analysis of these variables for all bodies ranging fromasteroids to galaxy clusters shows a good fit for the entire range. When the new constant is combined with G and c, it produces a dimensionless number fairly close to the fine structure constant.
  If we have bodies growing over time as has been suggested by earth expansionists, then if this is to remain true, bodies must acquire angular momentum as they acquire mass.  While there is no known mechanism for either mass creation or angular momentum creation, such mechanisms would resolve  the paradox of the earths rotation not slowing enough as it expands.
Angular momentum versus the square of the masses for astronomical bodies.
Both the Sirag and Kokus papers have the pertinant references for this topic. Unfortunately, there are few papers on line.
Kokus' Cosmological Coincidences
Enlarged graph
If anyone knows of a good online article or a better graph, please send it to:
Martin Kokus