Sleep paralysis and hypnagogia
The vibrations, paralysis and vivid imagery match the transition between wakefulness and REM sleep.
Tested, target never read
Astral projection is the claimed ability of leaving the body and perceiving from outside it. Status: tested, target never read.
The other claimed abilities put to the same test: medium, clairvoyance, telepathy, precognition, clairsentience, clairaudience, psychometry, empathy, healing and aura reading.
Astral projection is described as leaving the physical body and travelling in a second, "astral" body — often beginning with vibrations or paralysis at sleep onset, then a sense of floating, seeing the room from above, and moving through walls or to distant places.
The idea of an astral body comes from nineteenth-century Theosophy. Sylvan Muldoon and Hereward Carrington's "The Projection of the Astral Body" (1929) gave step-by-step methods, and Robert Monroe's "Journeys Out of the Body" (1971) popularised the phrase "out-of-body experience". In 2002 neurologists reported in Nature that electrically stimulating a region at the junction of the temporal and parietal lobes produced out-of-body sensations in a patient.
The experiment
Read the paper: Parnia et al. (2014), “AWARE — AWAreness during REsuscitation”, Resuscitation 85
The out-of-body experience itself is entirely real as an experience and can be induced reliably by stimulating the temporoparietal junction. What has not happened is anyone reading the card on the shelf.
The term comes from Theosophy in the 1880s; the experience itself is far older and universal.
The vibrations, paralysis and vivid imagery match the transition between wakefulness and REM sleep.
When the brain's integration of vision, balance and touch is disturbed, the sense of being located in the body can shift.
Many projection techniques are close to techniques for inducing lucid dreams, and the experiences overlap.
Have someone place a random number or image high on a shelf where it cannot be seen from the bed, without telling you what it is. If you can report it after a projection more often than chance, that would be evidence; hospital studies using hidden targets have not yet produced a verified hit.