Well, since I'm good at contrarian nitpickiness, I'm going to argue that it can. Mass can increase forever in a black hole, and if you keep accelerating, you g

Well, since I'm good at contrarian nitpickiness, I'm going to argue that it can. Mass can increase forever in a black hole, and if you keep accelerating, you get heavier and heavier so that you can never actually reach the speed of light. I guess you could argue that black holes will eventually run out of matter, and you would run out of accelerant, though. Conductivity is infinite in super-conductors (i.e. resistance=0). I don't see any reason why energy has any limit to how much it can be concentrated. I think people have argued that irrational numbers like Pi contain all possible strings (that is, of the characters [0-9]), although you may have to look pretty far out. So that would mean that the digits of Pi have infinite information. Writing this makes me think the world is a stranger place than I thought. I would have said that a physical quantity cannot go up forever, but I've talked myself out of that.