>Some pairs of points in the 2D space may be closer together in 3D space than they appear while confined to the 2D space. This would be the coordinate system o

>Some pairs of points in the 2D space may be closer together in 3D space than they appear while confined to the 2D space. This would be the coordinate system on a crumpled piece of paper analogy, yes? I can't help but feel this is highly unlikely. Do we have any reason to believe this would be the case? Wouldn't we experience this crumpled space or is momentum crumpled as well? Why would we expect new dimensions to be bent through our dimensions when the 3 we experience do not exhibit this behavior?