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I'm not sure that too many DUers could adequately explain his complete theory of general relativity. But the concepts themselves were pretty revolutionary, and elegantly simple in their mathematical proofs.
Einstein's general theory is based on the idea that the speed of light is constant in all reference frames. It doesn't matter if you're sitting still, travelling at 0.99c in the same direction, or travelling at 0.99c in the opposite direction -- the speed of light (c) is always 3x10^8 m/s. What this, in turn means, is that time and space become drawn out as you approach the speed of light.
The revolutionary part of such a theory is twofold. First, it presents time as a dimension that exists in much the same parameters as length, width and height -- rather than a separate parameter as it was described by classical physicists. This, in turn, allows for the possibility that time can actually be manipulated.
See, Einstein described gravity (in his special theory of relativity, I believe) not so much as a force, but as an actual displacement of space/time. Planets orbiting the sun were actually travelling in a straight line, but the gravity of the sun actually displaced the space surrounding it, forming "grooves" in that space on which the planets travelled.
If you extend such an idea to the dimension of time, then it stands to reason that there are ways to manipulate the nature of time. This, of course, is one of the main topics of discussion in unified field theory, a subject on which Einstein was working at the time of his death, which proposes that there are actually as many as ten dimensions.
This discussion is really a pretty significant can of worms you've opened up here. Einstein's theories are not the be-all, end-all -- but they were revolutionary enough in themselves to take the field of physics into new and exciting directions. It is in talking about these new and exciting directions that the REAL discussion lies.
If you're truly interested in these concepts, I'd recommend you check out the book Hyperspace by Dr. Michio Kaku. Kaku is excellent at discussing complex physical concepts in terms that people with a basic understanding of some mathematics and physics can easily understand. He also has a new book out, Einstein's Cosmos, which I haven't read yet.
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