But its even more complex than that, since gravity can also warp space-time. Because black holes have such a incredible gravity due to thier mass, the fabric of space-time would be so distorted that time wouldnt even exist in the singularity. You wouldnt be torn apart atom by atom if you got sucked into a singularity - time would just stop for you, which is even weirder to think about.
Also, there are 11 dimensions that we can theoretically show right now via quantum theory. Crazy, eh? 4 are space (3 dimensions) and time, while 5 and 6 are related to imaginary time (I wont even get into this, but check it out if your interested, wikipedia is a great resource here!). 7 and beyond are other dimensions that make up the fabric of our universe that are so tiny we cant see them. They arent strings, as string theory predicts, but are somewhat related to strings. Its really hard to imagine something being there that we cant see, but think of it like this - to us, a human hair looks 2 dimensional, right? Its just a line. However, if you use a microscope and zoom in, you'll see its actually a 3D tube. Well, thats sorta like how these other dimensions would be like. They dont look like anything from far out, but if you go in to the very very small levels, you could observe them.
Ahhh, Astro and Quantum physics are incredibly cool fields, almost wants to make me give up Biology.