Quote:
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Originally Posted by Sam5
Quote:
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Originally Posted by Ian Goddard
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.
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Yes, but the edges of a checker board are known, and they are straight. The center of a checker board is also known, and it is at an equal distance from all 4 corners.
Even if you try to expand the edges of a checker board so large we can’t see the edges, your defining it as a “checker board” tells us what its edges look like. Trying to hide the edges by putting them at a great distance does not do away with the "checker board's" center. |
It should be obvious that the purpose of saying "checker board" was not to talk about a checker board but to transmit a mental picture of space marked off with a square-grid metric. The statement,
"Imagine a checker board, or metric, spread across all space" designates the
metric, or square-grid pattern, as the issue. The use of "or" in this fashion is not exclusive but means "in other words" as a standard. The fact that I could meaningfully say "Imagine a checker-board metric across an infinite space," shows that edges are not necessarily indicated, especially if something without known edges like "all space" has been indicated as the topic of focus.
But this of course is totally superfluous. The counter you initially raised against my response to the poster was that any expanding finite region has a
center of expansion because it has a center, which I believe
I debunked.