If you do the math carefully, you find that the event horizon grows linearly with the mass. In other words, if you double the black hole’s mass, the event horizon radius doubles as well.
So it's not the volume that scales linearly with mass, it's the RADIUS. Which IS peculiar. The VOLUME scales with the CUBE ROOT of mass.
(no subject)
Date: 2008-10-31 02:15 pm (UTC)(no subject)
Date: 2008-10-31 02:33 pm (UTC)(no subject)
Date: 2008-10-31 08:23 pm (UTC)*radius* scales linearly with mass.
(no subject)
Date: 2008-10-31 02:42 pm (UTC)(no subject)
Date: 2008-10-31 08:17 pm (UTC)(no subject)
Date: 2008-10-31 08:22 pm (UTC)(no subject)
Date: 2008-10-31 08:31 pm (UTC)(no subject)
Date: 2008-10-31 08:31 pm (UTC)So it's not the volume that scales linearly with mass, it's the RADIUS. Which IS peculiar. The VOLUME scales with the CUBE ROOT of mass.