marcus
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ThomasT said:... And yet you say that you find it easier to think of our universe as the surface of a [STRIKE]4D hypersphere or[/STRIKE] 4-ball.
I too find it easier to think of our 3D space as a 3-sphere. Which if you like you can imagine as the surface of a 4-ball. I find it easier for several simple reasons.
1. We see no signs of space having a boundary. Normal science behavior is not to assume something unnecessarily that there is no evidence for.
2. 3-sphere is the simplest FINITE VOLUME model of 3D space without boundary.
3. The simplest math models in accordance with the accepted law of gravity (gr) assume uniformly distributed matter throughout space. ( No evidence of any largescale non-uniformity has been confirmed.) 3-sphere is the simplest finite volume space for modeling purposes. If you like finiteness, anything else is unnecessary extra complication.
4. I suspect the basic reason folks find the 3-sphere picture easiest to understand is probably that an infinite volume universe doesn't appeal to them: with its infinite amount of matter and energy distributed approximately uniformly throughout space and infinite number of stars like the sun (with its infinite number of planets closely resembling the Earth except for little details like Julius Caesar being a girl and the South winning the Civil War etc.)
Many folks prefer to imagine finite spatial volume with finite amount of matter. The local experience is essentially the same. Nobody and no light would ever circumnavigate because of how the thing is expanding.
So far the observational data is consistent both with infinite 3D and with large finite S3. Both finite and infinite versions of the standard model are favored about equally. So you can't SAY one is right and the other is wrong, but you can have a private preference as to which you think is easiest to think about.
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