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Kyo, I think you need to read up on Chaos theory. It has absolutely no relevance at all to the statement about coin-tossing with which you connected it.
The equations governing physics today actually work best for a finite, unbounded universe (like the surface of a sphere). In fact, most astrophysicists believe that the universe's topology is exactly that: the surface of a hypersphere.
But whether the universe itself is finite or infinite, according to physics as it stands today, it is not even possible for the amount of stuff in the universe to be infinite. In fact, there probably isn't all that much stuff in the universe at all.
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Strewth
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