What is the Repulsive Casimir Force?

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I thought this was an interesting article explaining some of MIT's research on Casimir forces. I didn't even realize machines were being built small enough that they had to deal with these.
http://web.mit.edu/newsoffice/2010/casimir-0511.html
 
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To me this article seemed quite interesting too but for different reason. It was interesting to read how this Casimir force is modeled.

Another thing that this article made me think was this. Best traditions of classical physics says that if we have force acting at a distance we can describe it as force field produced by one object that acts locally on another object (as I understand this is similar how it was modeled).

That way we would have quite exotic force field.
 
I am not sure if this falls under classical physics or quantum physics or somewhere else (so feel free to put it in the right section), but is there any micro state of the universe one can think of which if evolved under the current laws of nature, inevitably results in outcomes such as a table levitating? That example is just a random one I decided to choose but I'm really asking about any event that would seem like a "miracle" to the ordinary person (i.e. any event that doesn't seem to...
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