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How does spatial homogeneity make sense in general relativity?
Homogeneity of space implies that the laws of physics are form invariant under translations $(x, y, z)\rightarrow (x+a, y+b, z+c)$. This makes sense for Newtonian mechanics and special relativity.
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7
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Wouldn't we have an additional conservation law in a spherical Universe?
According this answer, the recent WMAP experiment has only shown that if our Universe has a spherical geometry, then it should have at least a $3\cdot 10^{11}$ light year big radius.
Now consider the ...