The physicist David Ruelle gives a convincing demonstration that suspending the gravitational effect on our atmosphere of one electron at the limit of the observable universe would take no more than two weeks to make a difference in Earth's weather equivalent to having rain rather than sun during a picnic.
That factoid is from Chances Are..., a really wonderful tour of probability. And I thought butterflies flapping their wings in Tokyo had big effects.
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I think that's an almost sure sign that the theory has a major flaw. I love chaos theory and all, and think it's very informative, but this is a bridge to far for me to believe.