- #1
aise0603
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Mass falling into a black hole will approach the center of the black hole at a given velocity. As it approaches the center of the black hole, from our reference frame, there is time dialation. In fact, at some given closeness, a unit of Planck time, in the mass's reference frame, is longer than the age of the universe.
Gravitational time dilation outside a non-rotating sphere
to = tf(1-2GM/(rc2))1/2
if to = Planck time
tf = the age of the universe
r = Planck distance
solve for M to find the smallest amount of mass that could possibly create a black hole
Ms = 1.09 X 10-8 kg
Density = Ms/Vs = 6.15718 X 1095kg/m3
Is that the most dense that anything could be in the universe?
Gravitational time dilation outside a non-rotating sphere
to = tf(1-2GM/(rc2))1/2
if to = Planck time
tf = the age of the universe
r = Planck distance
solve for M to find the smallest amount of mass that could possibly create a black hole
Ms = 1.09 X 10-8 kg
Density = Ms/Vs = 6.15718 X 1095kg/m3
Is that the most dense that anything could be in the universe?