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.(adsbygoogle = window.adsbygoogle || []).push({});

Gravitational time dialation outside a non-rotating sphere

t_{o}= t_{f}(1-2GM/(rc^{2}))_{1/2}

if t_{o}= planck time

t_{f}= 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

M_{s}= 1.09 X 10^{-8}kg

Density = M_{s}/V_{s}= 6.15718 X 10^{95}kg/m^{3}

Is that the most dense that anything could be in the universe?

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# Density of a Black Hole

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