Quote:
Originally Posted by Frog march
If you have two points on a 2-sphere, and draw a line between them, you can define points inside the 2-sphere, in 3D space.
I was just wondering, if the Universe were a 3-sphere, could you define points in 4dimensions, by using two points in our space?
Is this done?
maybe this is trite, but I thought I would post anyway.
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My understanding: You can warp a 2 dimensional plane into the figure of the surface of a sphere in 3 dimensional space. The same way (theoretically), in the presence of a 4th spatial dimension, a 3-sphere can be warped into another shape. Any point in our 3 dimensional space would also correspond to a point in the fourth dimensional space, just as any point on a 2-sphere is contained in 3 dimensional space.