Tuvok, a lieutenant at the time, is shown wearing the insignia of a lieutenant commander.
Ensign Seska is wearing a blue uniform rather than her proper yellow one; see trivia.
In the final scene, when Torres is speaking to Carey, at the beginning of the conversation she is wearing a Star Fleet Ensign collar pip; part way through the scene, it becomes a Maquis Lieutenant pip.
While in the anomaly, Voyager is facing the anomaly and during the briefing room scene, the windows behind Captain Janeway show clear space, not the anomaly.
Voyager's Briefing Room Windows face the Bow (Front) of the ship and the anomaly should be visible front the windows.
Voyager's Briefing Room Windows face the Bow (Front) of the ship and the anomaly should be visible front the windows.
The injuries inflicted on the Lt. by Torres are to his face and nose. The Dr. is seen working on the man's nose. And yet, when Chakotay talks with Torres he tells her "if you hit him a little harder you would have driven some of those bones into his cerebellum". The cerebellum is sometimes called the "hind-brain". It is located at the base of the brain. So hitting someone in the face would not drive bone fragments into that part of the brain. The cerebellum plays a major role in motor control by contributing to coordination. and motor learning.
Though "quantum singularities" are a fictional device unknown in physics, they seem interchangeable in the Star Trek universe with black holes. Had Voyager actually passed the event horizon of a black hole they would never have gotten out. By definition, the event horizon is not a physical barrier, but simply the point at which nothing, not even light, can escape the gravitational pull of the singularity; the idea of a rupture in the event horizon through which Voyager can escape is simply nonsense. It's all academic, however, since the gravitational forces of the black hole would have demolished the ship long before it got anywhere near the event horizon.
Tom Paris refers to the ship as "the Voyager" when it should be simply "Voyager."
If this is considered a goof, then literally every episode of TOS and TNG are also a goof since they always refer to their ship as "the Enterprise" and not simply "Enterprise".
When the Holographic Doctor is on the screen, you can see that he's visually distorted. When he moves away from the camera's POV, you can see him distort or warp further.
When chastising Torres for her fight with a human crewman in Engineering, Chakotay said that she was fortunate she had not hit him in the face harder because the impact could have driven nasal bones into the cerebellum. This is not possible because the cerebellum is just above the brain stem in the skull's most distant location from the nasal bones. It is also a myth that one can reliably cause death by driving the nasal bones into the brain.
Even thought the character "Tuvok" was referred to as "Lieutenant", he wore "pips" on his collar designating him as a "Lieutenant Commander". He should have been referred to as either "Lieutenant Commander" or "Commander"