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We... come to the conclusion... that the actual universe is neither the static nor the empty one. It differs so much from both of these that neither can be used as an appropriate grand scale model. We must thus look for other solutions of the general field-equations. On account of the expansion our solution must necessarily be a non-static one, and it must have a finite density. There is only one possible static solution possessing a finite density, viz. our old friend A, but of non-static solutions with finite density there exists a great variety.
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In the "static" universe expansion is impossible, the "empty" universe does expand. Therefore we may be tempted to consider the empty universe as the most likely approximation; and we can proceed to compute the radius of curvature of the universe, supposing it to be of the empty type, from the observed rate of expansion.
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It is easy to compute the density of a static universe of a radius of two thousand million lightyears, and it comes out only very little larger than the observed density. The actual universe is thus very far from empty, it is, on the contrary, nearly full.
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Is the density anywhere near that corresponding to the static universe, or is it so small that we can consider the empty universe as a good approximation?
Willem de Sitter
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What do we, as a nation, care about books? How much do you think we spend altogether on our libraries, public or private, as compared with what we spend on our horses?
John Ruskin
Willem de Sitter
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Born:
May 6, 1872
Died:
November 20, 1934
(aged 62)
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