
Originally Posted by
Tock
One of my customers is involved in an effort to create a logic system that gets around the paradox of a "set of all sets." Another way of stating the problem would be "putting the universe in a bag," where the bag would have to be part of the universe, which would mean the universe would still not be in a container.
It's a paradox, and he's a high-powered math/physics type involved with a $$$ effort to figure some way around the problem. In a brief conversation, we resolved that (strictly speaking) in this universe, there are no straight lines. If you take the straight edge of a ruler and extend it indefinitely in both directions, you'll find that both ends eventually meet, because space is curved. It's sorta like painting a line on the surface of planet Earth; you can start a line anywhere, and it will curve around and around a few times, and it will eventually meet. An equatorial line is about the only line that won't travel the sphere's surface more than one time . . .
Anyway, for practical everyday purposes, we can measure out lines for roadbuilding and space navigation. But when ya get into universe-size scales, strictly speaking, there is no such thing as a straight line.
All that etc etc etc got me to speculating (this isn't my primary field of expertise) that if the universe got its start from a "big bang" and light and matter are travelling away from the epicenter, then quite possibly instead of a line extending from a point in space to the outer edge and from there back into space from a corresponding point at the opposite outer edge at the other edge of space, I'm thinking that what actually happens is
space curves from the edge of the epicenter in a circle back upon itself.
Picture, if you will, a potato, where the outer skin was at the same location as its center. That is (maybe) the essence of our universe's shape. You could travel around the epicenter of the sphere, but if you went into it, you wouldn't notice, but you'd be traveling at a far end of the universe, just like nothing unusual ever happened . . .
It's a weird universe. If I had put everything together, it would have made a lot more sense, and AS would be free for everyone and would have no unpleasant effects.