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/sci/ - Science & Math

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3858454 No.3858454 [Reply] [Original]

Can somebody explain these hypothetical extradimensional "wormholes" for me, I can't seem to make any sense out of it. If you want to get from point A to point B, the shortest way is a straight line. I can't see how it makes any difference how many dimensions there are.

If you are on a 2d plane, and want to get somewhere, shortest way would be on that plane (unless there is an obstacle in the way, of course). Going to 3rd dimension would just add to the travel time and distance. And if you warp the plane like paper or make it something like a Möbius strip, it's no longer really a plane, is it?

>> No.3858460
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3858460

Yeah, it's no longer a plane, but if gravity is around, then space(-time) is no longer a plane (flat) anyways.

where do you have a problem with this kind of visualization
http://www.daviddarling.info/images/wormhole_graphic.jpg

>> No.3858471

>>3858460
I just don't understand why 4d would "bend" the 3rd dimension. 3rd dimension doesn't really do anything of the sort to 2nd, or 2nd to the 1st.

>> No.3858496
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3858496

>>3858471
what do you mean by "it doesn't really do it"? You can't see the embedding if you only perceive 3 dimensions, but there can still be one.
In general relativity, one has curved 3d space (and you can view it as embedded in some higherdimensional space due to
http://en.wikipedia.org/wiki/Nash_embedding_theorem
)
and one of the effects of this curvature is that things come closer after some time (also called gravity)