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The US intelligence community studied remote viewing for over a decade with some success, but the other side of that coin was psychokinesis, or PK. CIA records show programs like Grill Flame, Sun Streak and Star Gate gathered records of poltergeist activity — considering it misinterpreted RSPK, or recurrent spontaneous psychokinesis.
Sources in order of mention
DOD Psychoenergetics Program; people with PK skills would be identified and trained: https://www.cia.gov/library/readingroom/docs/CIA-RDP96-00789R002100230001-3.pdf
Star Gate advisory board briefing slideshow: https://www.cia.gov/library/readingroom/docs/CIA-RDP96-00789R002900350001-2.pdf
SAIC plan for researching anomalous mental phenomena, 1991: https://www.cia.gov/library/readingroom/docs/CIA-RDP96-00789R003100080001-9.pdf
SRI/Grill Flame protocol on remote perturbation techniques, 1979: https://www.cia.gov/library/readingroom/docs/CIA-RDP96-00788R001300080001-0.pdf
RSPK/poltergeist activity in Brazil and US: https://www.cia.gov/library/readingroom/docs/CIA-RDP96-00792R000700350006-7.pdf
Final report on Star Gate after termination, 1995: https://www.cia.gov/library/readingroom/docs/CIA-RDP96-00791R000200180006-4.pdf
X-Men comic: https://www.flickr.com/photos/istolethetv/242388050