When they are entering the cinema, there is a poster on the wall in the entrance hall of the movie itself, with the original title: Mind's Eye.
The planetarium scene shows the Zeiss Mark VI Star Projector of the Fiske Planetarium in Boulder, Colorado (which was retired in 2013).
Quantum entanglement (and the corresponding Einstein-Podolsky-Rosen paradox) are real things.
The red carpet cinema in the movie has a resemblance to the red carpet theater in Mulholland Drive by David Lynch.