Telepathy

Telepathy (literally "distant perception/feeling") is the supposed ability to communicate information from one mind to another, and is one form of extra-sensory perception. This information is generally reported as being "received" in the same form as that from the conventional senses.

Parapsychologists have performed a number of experiments attempting to provide repeatable evidence of the existence of telepathy. Perhaps the closest they have come is with studies of so-called Ganzfeld phenomena.

Someone else will have to supply the details of the experiments and controversy... :-)