(November 25, 2010 at 4:09 pm)TheDarkestOfAngels Wrote:(November 25, 2010 at 2:26 pm)Chuck Wrote: The surface of a sphere is infinite. You can keep going on it and never reach an end.The surface of a sphere is not infinate in any respect to volume or space.
Neither is a Circle in that respect. PI breaks down at plank length. Though the boundary is still infinitely traversable even though it's finite in space and volume.
Quote:You are indeed correct that mathmatical infinities are quite possible. This cannot and never does apply to reality.
That sounds like a positive claim to me. I'm not in any sense prepared to rule out the possibility of an infinite space with finite regions, not aver reading Alexander Vilenkin's work. They seem mysterious, but when you have a feedback loop and vacuum energy there quite literally appears to be an infinite number of finite sets (potential configurations).
Quote: You cannot have an infinate amount of space in a box just because you can keep moving indefinately in one direction due to being able to continuously slow down enough to never actually impact one side of the box.
This is a major stretch.
That's a false analogy, just because x is finite in space does not mean that it is finitely traversable.
A curved universe would be the same, you look far enough in one direction and you see the back of your head, even though this universe would be spatially finite.
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