Ishmael wrote:
iamnotaparakeet wrote:
Are you trying to refer to the Hypersphere model?
Actually, I was referring to my own theory - I HATE referring to other peoples theories if I can avoid it!
I've never heard of hypersphere. Who coined that? What is it?
A hypersphere is a higher dimensional analog of a sphere. Space could have a shape which is like a 3-sphere. The geometry of a 3-sphere can be derived by taking 4-D spherical coordinates and setting the radius constant. A unique point can then be expressed in this space by the 3 angles in 4-D spherical coordinates, so it is a 3 dimensional space (hence the 4 dimensional sphere it is a "surface" of is, I think, just a convenient tool and nothing more).
A hyperspherical universe would be finite but edgeless, because geodesics are closed: in analogy to a 2-sphere (e.g., roughly, the surface of the earth) going "straight" long enough will return you to where you started.
This is my impression of them; I have only just started to teach myself the relevant math.
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