Symmetric Chaos
Fractal King
Originally posted by Ascendancy
So if you discovered a fuel that would allow a vehicle to travel forever on one vector, assuming that it doesn't impact something along the way, what would happen to it? In that case would it not eventually come to the end of the universe?
If you put a model train in a loop and have it go around and around does it ever reach the "end" of the loop?
If you get in a plane and fly all over the world do you ever reach the "end" of the world?
These are easy to visualize because we have brains evolved and developed to handle those kinds of things. Mathematically its been proven that the same thing is possible with things that have more (spatial) dimensions but unfortunately there's no way to visualize that. I don't know of any indication that the universe is really shaped like that, though.
There are other ways to have a bounded universe with no edge. One of my favorites is the plate world from Flatterland. At the center of the world a box is 10 feet tall and 10 feet wide. Half way to the edge its 5 feet tall and 5 feet wide. As a result you can never reach the edge (because your stride is always too short) and you have infinite space. The same thing can be made to work in three dimensions with the same result. There's no reason to believe it happens anywhere but it is kind of neat.