Black Hole Entropy: Linear or Quadratic?

The entropy S of any mass M can be interpreted as a linear relation with mass, S of order kM/mg an extensive property with mg the mass of the quantum of gravity. One can extend this relation to black holes and then we get a different result, as compared with the “standard” relation S of order k/hc GM^2, which is quadratic in the mass. We discuss both approaches and apply it to cosmology.