Wrap your head around this one reality exists and it is even stranger than you think.  
In the 1990s a physicist called Lucien Hardy proposed a thought experiment that makes nonsense of the famous interaction between matter and antimatter: that when a particle meets its antiparticle, the pair always annihilate one another in a burst of energy. Dr Hardy's scheme left open the possibility that in some cases when their interaction is not observed a particle and an antiparticle could interact with one another and survive. Of course, since the interaction has to remain unseen, no one should ever notice this happening, which is why the result is known as Hardy's paradox.
I am not sure why the link doesn't work
pdxpogo: it may be a referal glitch but cut and paste to your address bar http://www.redorbit.com/news/science/1649449/quantum_paradox_directly_observed/  
past that the economist has an article http://www.economist.com/science/PrinterFriendly.cfm?story_id=13226725 that should be available.