The episode opens with Ransom and Shax stretching. The leotards they are wearing are identical to the ones worn by Dr. Crusher and Deanna Troi when they worked out together on Star Trek: The Next Generation (1987). The stretches they are doing were also done by Crusher and Troi in The Price (1989) while Troi was telling Crusher about her inexplicable feelings for a creepy visiting diplomat.
The title is an apparent reference to Harlan Ellison's story "I Have No Mouth But I Must Scream".
Narj's Miraculous Menagerarium is a spoof of Star Trek episodes whose plot revolves around some type of menagerie. The Cage (1966), the unaired pilot for Star Trek (1966), involved a menagerie of aliens collected by the highly telepathic Talosians, who also tried to force Captain Christopher Pike to be a part of their exhibit. After Pike was severely injured his former science officer, Spock, took Pike back to Talos IV to live out his life in their telepathic reality in The Menagerie: Part I (1966).
Star Trek: The Next Generation (1987) also had a few menagerie-like episodes, the first being The Most Toys (1990) where Data is kidnapped by Kivas Fajo, a collector of rare creatures and artifacts, who attempts to make Data one of his exhibits. A short time later Deanna Troi and her mother, Lwaxana, are kidnapped by a Ferengi named DaiMon Tog who is in love with Lwaxana and tries to force her and Deanna to be his property in Ménage à Troi (1990).
Star Trek: The Next Generation (1987) also had a few menagerie-like episodes, the first being The Most Toys (1990) where Data is kidnapped by Kivas Fajo, a collector of rare creatures and artifacts, who attempts to make Data one of his exhibits. A short time later Deanna Troi and her mother, Lwaxana, are kidnapped by a Ferengi named DaiMon Tog who is in love with Lwaxana and tries to force her and Deanna to be his property in Ménage à Troi (1990).
At the end of this episode Rutherford is working on a device which looks identical to the repulsor beam Wesley Crusher developed in Star Trek: The Next Generation episode, The Naked Now.
Rutherford tells Tendi he upgraded the replicators to be nine femtoseconds faster. A femtosecond is 1/1000th of a picosecond, one millionth of a nanosecond, one billionth of a microsecond, one trillionth of a millisecond and one quadrillionth of a second. By comparison a femtosecond is to a second as a second is to 31,710,000 years; an object traveling at the speed of light would cover a distance of 300 nanometers in one femtosecond, the diameter of a small bacteria.