[quote]Vegita wrote:
I have thought about this premise some and it makes me very uncomfortable. OK i’m on your space ship traveling in as straight a line away from X as I can. If the theory is that I will end up back at x continuint in this line. There must be point Y where I am at the farthest possible distance away from X. This point then should theoretically be a point in which I can go in any direction and all will lead me back to X. While I can easily understand this concept whith regards to the outside of a shpere, I cannot fathom how this is possible when I can literally go in an infinate directions from any point. It would seem there would have to be some force acting on me in such that if I got to Y and instead of heading straight or back I went up, what is the reason for reaching that maximum distance and what force keeps one from getting further away? If I was at that point what would I see? would the light just bend around me or would it look exactly like the point X or as normal as the rest of the universe looks.
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Well, multi-dimensional geometry is not my strong subject, but I think yes, if the universe were not expanding all the time, there would be at least one place you could depart from in any direction and wind up at the earth in less time than it would take you to go all the way around universe in that direction.
However, the shape of our universe is changing all the time, and the earth is moving also, so there are a lot of complications on top of some relatively simple (!) multidimensional geometry. When using your FTL space ship, for example, you will want to set the warp drive so that you arrive back at the earth at about the same time you depart. Otherwise, the earth will be somewhere else than where it was when you started out, by the time you complete your grand tour of the universe.
The reason that this stuff (General Relativity and Quantum Physics) is so hard for anyone to grasp is, we can have no personal experience of it. Everything that happens is either on an unbelievably vast scale, or unbelievably tiny. These things don’t work the same as the kinds of human-scale things we’re used to. That is one reason why analogy breaks down. The things that happen are completely counter-intuitive. You have to stare at an equation to figure out what is going to happen. But we can see these same things happen in our instruments, so we know they are no joke. Best of all, the math describes our hypotheses very precisely, so we know exactly what is being tested when we make observations or perform experiments.
Anyway, yes, light travels in these curved paths too. The universe is curved in on itself, because its mass bends space-time around itself. When a ray of light passes very near a massive star, it is noticeably bent from a straight line by the star’s gravity. Actually, what you see is how space is bent in the area very close to that particular star. The light is always traveling straight from its point of view. The star’s gravity changed what ‘straight’ meant, and anyone farther away who was watching could see that this version of straight didn’t agree with their version anymore. They weren’t as close to the star, so they weren’t affected as strongly by its gravity.
So yes there is a force involved, though perhaps not exactly as you meant. Gravity, or any force that accelerates you, will change how space is shaped. That’s why they called this stuff ‘relativity’, because basically the theory says that how space looks to you depends on whether you’re being accelerated or not. What you see depends on your frame of reference.
But when going long distances in a “straight” line, over time it is the mass of the entire rest of the universe that controls what curve turns out to be straight for you. Since the universe is expanding and all that mass is flying apart from itself, “straight” is changing all the time and it’s unlikely that the path will ever close on itself exactly.
This is why gedanken experiments are nice - they are so much simpler than reality.