We propose a possible scenario that can explain the physical processes underlying the relation log10(M BH) = b + mlog10(M Gσ2/c 2) between the mass M BH of supermassive black holes, growing in the center of many galaxies, and the kinetic energy of the corresponding bulges (M G being the bulge mass and σ the velocity dispersion). In a series of papers, this scaling law proved to be very useful to describe the evolution of galaxies thanks to its close similarity to the Hertzsprung-Russell diagram. Studying the relation with different samples of galaxies, we have generally found a slope that can vary between two extremal theoretical possibilities, m = 3/4 and m = 1. We will try to describe a possible scenario compatible with the second one. Finally, we also examine a case of a relation that is linear, not in kinetic energy, but in momentum parameter.
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