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Originally Posted by Sam5
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Originally Posted by Ian Goddard
Actually only you've stipulated known edges. And you've switched your counter from saying an expanding finite space must have a "center of expansion" to the irrefutable "it must have a center" -- as if that counters something I said. I believe my last reply provides an actual definition for your initial counter about a center of expansion that differentiates such from no center of expansion.
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Your counter merely has a circular expansion on a checkerboard of squares or on a sheet of Euclidean-square graph paper. In either of those cases, the expansion has a center.
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I disagree and believe only one of the two expansion models I've defined above comports to a "center of expansion." Just because an object has a center does not mean it can only exapand from its center.
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You stipulated the edges by referring to a “checkerboard”. I don’t know if the universe has edges or not.
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Not really, I said:
"Imagine a checker board, or metric, spread across all space..." That onto which the checker-board metric is being mapped is "all space," and the edges of all space are unknown.