formulaically, i understand the math. My question is more on the theoretical behaviour of something like a singularity.
How can something have zero volume but infinite density? How can something that don’t exist be infinitely dense?
Also, are all singularities the same and behave the same and have the same properties, regardless of the mass of the black hole?
For eg. A blackhole with 100 million solar mass vs another with 10 million solar mass. You take both mass, divide them by zero, and you get the same answer- infinite density.
Sorry for the juvenile question, maybe i shoulda posted this in nostupidquestions instead.
In: 1
The idea is that the universe is a big ol’ grid and there is a “smallest distance” between each point on that grid. Nothing can move less than that distance except by not moving at all, and anything that is larger than zero is at least that distance across.
A singularity is a single point on this grid. Its volume is zero because all its dimensions are zero. If its volume is zero, and its density is anything that isn’t zero, then its density is undefined because it is divided by zero. In practice, this means its density is infinite if it isn’t zero.
… unless you subscribe to string theory, which allows no singularities as the smallest possible things are all at least one-dimensional, in which case you would call them black branes instead of black holes.
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