Lies to students! Space has as many spatial dimmensions as you want it to, and for thinking about gravitational lensing and spacetime distortions, it's best to think of it as having 4, but pretending there's really three and we're stuck in the first two (for visualisation purposes
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You know, I just worked out that we can derive an elasticity of spacetime.. which means we can use it as a spring if we can somehow shift mass instantaneously.
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As for gravity acting in 4 dimensions, that's as yet speculation used to get rid of dark matter.
PS incidentally, someone invented anti-gravity by accident. Oops. See this week's New Scientist.
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Also, there is a reason I don't read pop science magazines.
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