Unlike experiments which try to induce the sensation of "God" through the deft turn of a knob or a drop of a pill, experiments have been done on individuals who already experiencing a supernatural personage (apparition).
According to one of the many websites and books searched for some information on the studies "The reported apparitions in Medjugorje are the first apparitions in history to be thoroughly investigated by science. The regularity of the apparitions has made for consistent and extremely reliable findings."
Scientific experts have defined the phenomena "as a state of active, intense prayer, partially disconnected from the external world, a state of contemplation with a separate person whom they alone can see, hear, and touch."
Some scientifically inexplicable events occur during the time that they are having the vision.
-- the larynx (voice box) shuts off even though all muscles continue to operate normally with the exception during the time the alleged visionaries will be heard simultaneously praying, "Who art in heaven, hallowed be Thy name..." When later asked, they report Mother Mary is leading them in the Lord's Prayer."
--No brain response is detected when a 1000 bulb is placed near the visoneers eyes. Likewise loud sounds, pin pricks or burns are not being noticed / responded to either until the visitation disappears.
-- Brain waves are predominantly of a normal beta rhythm conscious attentiveness before the visitation. During the apparition almost uninterrupted alpha rhythm predominates, which is previously measured in states of sleep, meditation or relaxation. Oddly, the visioneers eyes remain open.