According to Brannon Braga, The Adventures of Captain Proton holodeck program was influenced by Flash Gordon. Versions of the program also appear in Thirty Days (1998), Bride Of Chaotica! (1999), and Shattered (2001). In the prequel Cogenitor (2003), a title called "The Bride of Chaotica" is one of the movie options for the crew's movie night, indicating that the holodeck program is an interactive version of a (fictional) movie.
The game that Paris and Torres play in the mess hall, referred to herein as "durotta," has game pieces that are easily recognizable as pieces from the real-life game Quarto. While playing the game, the characters follow the rules of Quarto, as well.
Neelix orders Bergamot tea from the replicator to calm himself while hyperventilating, saying "Bergamot tea, hot." This mirrors Captain Picard's preferred beverage throughout Star Trek: The Next Generation (1987), as oil of Bergamot is the defining ingredient in Earl Grey tea.
First appearance of the "Captain Proton" Holodeck Program.
The crew has been in the expanse for two months, according to Chakotay (he later states, specifically, that they have been in the expanse for 53 days).