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Stephen Hawking (in A Brief History of Time, IIRC) writes that that model of the universe is impossible. Once the universe collapses back in on itself, it'll just be a big black hole, not whatever it was at the beginning of the universe, and so won't be able to expand again.
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"Die Deutschen meinen, daß die Kraft sich in Härte und Grausamkeit offenbaren müsse, sie unterwerfen sich dann gerne und mit Bewunderung:[...]. Daß es Kraft giebt in der Milde und Stille, das glauben sie nicht leicht."
"The Germans believe that power must reveal itself in hardness and cruelty and then submit themselves gladly and with admiration[...]. They do not believe readily that there is power in meekness and calm."
-- Friedrich Nietzsche
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