"At the quantum scale, space is a writhing, frantic, ever-changing foam, with particles popping into existence and disappearing in the wink of an eye. This is not just a theoretical idea—it's confirmed. How can this bizarre idea be true?"

http://www.fnal.gov/pub/today/archive/archive_2013/today13-02-01_NutshellReadmore.html

I have heard this mentioned countless times in scientific documentaries.

Quantum computing is built on this idea, where an atom can be at two places at once and thus produce a more powerful computing machine.