One major reason for the film's long delay is that the original production company went bankrupt during post-production, and there simply wasn't money to finish the film.
Renny Harlin was fired from the production, because he made a creative decision that made Ray Bradbury very unhappy, and this film's producers decided to support Ray Bradbury.
When Hatton (Ben Kingsley) receives his clients after their time safari, he likes to compare them with great explorers: Marco Polo, Columbus, Armstrong... and he also says "like Brubaker on Mars", remembering a future (past for him) conquest of the Red Planet. Brubaker was the name of the commander of the Mars expedition in the film Capricorn One, also directed by Peter Hyams.