Extra-dimension space for the layman?numbski writes "So my wife recorded an episode of Through the Wormhole that gave a very simplistic look at the concepts of quantum particles, along with string theory and 11 dimensional space. Driving home from work the following day, part of what they were talking about clicked for the first time. The concept of 11 dimensions has always been funny — thinking of "other dimensions" as other places you could go, where the aliens live, all sci-fi stuff. Mathematically speaking, it's never really been spelled out to me, and in fact popular culture never even really bothers to try, and neither did through the wormhole, so I figured I'd ask the masses if there *is* a good site that brings you up to speed on the math.
As of right now, my perception of it is to visualize the universe that we know as being 2 dimensions instead of 3, plus time. That would make our universe (sort of) look like a playing card viewed head-on. We only see 1 card (universe) — length+width, and the passage of time. In reality, there are infinitely many "universes" stacked behind that one. If you were the king printed on that top card, you could never see outside of your little length+width universe. It would appear to span infinitely in all directions where all directions == up, side-to-side, and down. Time passes, but you have no perception outside of that.
The reality is that for every particle, point in space, or pixel, if you will (where any line is made up of infinitely many points in space ran right up against one another) — there is an infinite match of two dimensions. Like this:
(l x w) (L x W)
For every point in length (l), there is a matching point of length (L) in the other dimensions, and an associated width (W). In turn, for every point of width in our dimension (w), there is also an associated L and W. So we have:
lL, lW, wL, wW
Four dimensions, plus the extra-dimensional space that separates each card in the deck, preventing one from realizing the other, plus the passage of time. That's six dimensions, and easily visualized by us. My thinking is that you simply do the same math for 3 dimensional space, understanding that there is simply no way to visualize it. Any attempt to do it is going to be constrained to our visualization of 3D reality, and be inaccurate. The math is then this:
(l x w x h) (L x W x H)
That gives you 9 dimensions, plus the extra-dimensional space that separates them, plus time. 11 dimensions.
Is this even close to right? Can someone shed a light on this to those of us that aren't theoretical physics nerds?
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