Tsegamla writes:
quote:
The cube model makes more sense to me, but considering the fact that both models seem to be valid/used a lot, I'm assuming that they really are compatible and that the problem is just my understanding of them.
If I understand your description of the cube picture, these two representations are essentially identical. The trampoline model is sort of a two-dimensional way of looking at it while the cube method is a more three-dimensional model.
The trampoline model, too, is more amenable to actual construction. That is, you can actually take a sheet of rubber, stretch it, place a heavy ball in it, and then roll a light ball along it and watch how the motion of the light ball curves around the heavy ball.
To make the cube model, you'd have to find some way to fill the cube with a stretchy material and then uniformly pull all of it towards the center...and then find some way to move another object through all this material in order to see it curve around the point of pulling...not exactly an easy thing to do.
The problem with the trampoline model is that it requires a third dimension to have work...and it also requires gravity. The trampoline model makes it look like space is curving into some other dimension and that some force is pulling it into that dimension when actual gravity doesn't work like that. It curves in on itself like the cube model.
Does that help?
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Rrhain
WWJD? JWRTFM!