What's Correct?
Assume a black hole is stable above twice the mass of the sun. Our Milky Way has 150 billion suns.
The potential energy at the Schwarzschild radius of a test mass is 1/2 of its equivalent mass.
So, if two suns collapse to form a black hole, that would be 1/4 of their total mass.
I repeat this process for the resulting black holes until only one remains.
The logarithm of 160 billion is 40. 1/4 times 40 is 10.
That would be exactly the mass ratio that astronomers observe for the amount of dark matter to ordinary matter. |