REM sang 'If you believe they put a man on the moon' and million said they never because to them Neil Armstrong never set foot outside of a movie studio and the US Government wheeled in a famous director to help create the fake landing.
The story goes that in the midst of the Space Race, someone in the American government saw 2001: A Space Odyssey in 1968 and asked Stanley Kubrick to help them fake the Apollo 11 moon landings in order to gazump the Soviet Union who were ahead of America in the Space Race at the time.
Kubrik agreed but afterwards he realised just what a big deal it was but become worried that he might be silenced by the Government so to protect himself, he filled his film, The Shining, with clues about the conspiracy.
Danny wears an Apollo 11 jumper, Room 237 is a reference to the 237,000 miles distance between Earth and the moon, when Jack types 'All work and no play…', the first word looks like “A11” or Apollo 11. The twins represent NASA’s Gemini space programme, the guy in a bear suit represents the Soviet Bear and then there is Jack’s rant at Wendy when she wants to leave represents Kubrick arguing with his own wife about his deception: 'Does it matter to you at all that the owners have placed their complete confidence and trust in me, and that I have signed a contract in which I have accepted that responsibility?'
If that isn't enough to convince you then how about the final piece of the jigsaw, Jack agreed to look after the Overlook Hotel during the winter just like Kubrick agreed to help America during the Cold War.
I don't know how much more proof anyone would need but it would explain why Kubrik made such a pigs ear of filming the King novel, because he was too busy stuffing it full of fake moon mission hints that he completely forgot how the book finished and just made up his own ending.