Corrected entry: When searching for life-forms on Ceti Alpha 5, they only detect some minor signal, some proto-life that may be transplantable. They never explain how they did not detect Khan and his followers marooned on the planet.
Corrected entry: In the final battle with Reliant, Spock states that Khan, while brilliant, demonstrates that his thinking is two-dimensional, prompting Kirk to have Sulu take the ship "down" below Reliant's flight path, only to come "up" behind it later, allowing Khan's dramatic defeat. The problem here is that Khan isn't from the 19th century, he's from the late 20th century, where air combat is common, as is combat in 3 dimensions under water. Even if Khan fought most or even all of his battles on land, he is a genius, and would certainly have knowledge of aerial combat, even if not direct experience with it. Not to mention there's no way Reliant never had to maneuver in 3 dimensions while he was on it. To suggest he could not think in such a manner is absurd. (01:29:45)
Corrected entry: Towards the end of the movie, when the Enterprise and Reliant are in the nebula, Spock observes that Khan is plagued by 'two dimensional thinking,' i.e. he's using the Reliant as if on a flat surface, rather than in three dimensional space. Kirk then orders Sulu to set a course of "Z minus 10,000" and we see the Enterprise descending, with Reliant visible below her. Moments later, the Enterprise appears behind the Reliant, rising up from below in direct contradiction to the previous shot as well as the order Kirk gave.
Corrected entry: Khan says he doesn't know Terrell, but remembers Chekov. Chekov wasn't a part of the crew at the time of "Space Seed", when Khan was first introduced.
Corrected entry: After the insect crawls out of Chekov's ear and Khan beams up Genesis, Admiral Kirk says to Khan, "you have Genesis, but you don't have me. You were going to kill me. You're going to have to come down here". Khan beamed up Genesis, so why didn't he beam up Kirk who was only a few feet away? I know he said, "perhaps I no longer need to try. I've done worse than kill you: I've hurt you" which indicates that Khan accepted his failure to kill Kirk: it was not premeditated to leave him there. Further, if he didn't want to kill him, why did he try later in the movie? (00:15:20)
Corrected entry: During the final battle with the Reliant, Spock points out that Khan's flaw is his "two dimensional thinking". Why then, does the Enterprise have to move "up" on the Z-axis, to come up behind Reliant and be on the same plane before she can fire? Surely starships can fire weapons in three dimensions? It has nothing to do with "seeing" Reliant on the viewscreen either, since the viewer is a composite of sensor readings, not a window.
Corrected entry: In almost all of the outer space shots the stars in the distant background "twinkle". When looking into space from earth stars appear to twinkle because of the distortion caused by the atmosphere; when viewed from space all of the stars should have a consistent glow - no twinkling.
Corrected entry: During the first battle between "Enterprise" and "Reliant", the Enterprise destroys the dome above the impulse engines on Reliant's saucer-section. This dome is then shown to be undamaged in the very next exterior shot of Reliant as it moves away from camera.
Corrected entry: After Kahn reveals himself to Kirk and company, he gives sixty seconds to gather the information that he wants on Genesis. From that declaration to the actual "Time's Up." is just over two minutes even though it would appear that he was using some device to do the actual timing (he appears to be shutting off a stopwatch or something when he says that their time is up). On the Director's Edition, the time index is about a minute and 40 seconds later than the original release. (00:52:25 - 00:53:30)
Corrected entry: After sending David and the others into the other room, Kirk has a nice and private talk with Carol. They should have been even more discreet. Chekov is still right there and is quite awake because he is holding a bandage of some sort to his ear the whole time. Just a short time earlier, in fact, you can hear McCoy saying "He's coming around," and then he hands Chekov the bandage. And even if Kirk had forgotten that Chekhov was there, he would have said something. They are friends and Chekhov would not want to embarrass his friend by listening in on a private conversation.
Corrected entry: Maybe not a mistake per se, but certainly odd: A sign posted at the rear of the bridge says "No Smoking On The Bridge At Any Time." A good idea to be sure, but at no time in any incarnation of "Star Trek", whether the TV versions or the theatrical releases has any character ever been shown to smoke anything. Gene Roddenberry' Utopian vision of the future didn't include any of our contemporary vices, so it is odd that a sign like this would ever be posted. However, it's possible that this was simply a warning to the cast and crew on set, and had no impact on the fictional characters and their universe. [This was actually a deliberate act on the part of the director, Nick Meyers. He likes putting elements that give a common, real-world sense to them. He's also the one that gave the crew bunk beds in Star Trek VI: The Undiscovered Country.]
Corrected entry: The simulation of the "Genesis Effect" is shown on a relatively small planetoid, and other than the initial fireball, there is not much 'drama' about the explosive aspects of the effect. However, when the Genesis Device explodes aboard the Reliant at the end of the film, the resultant explosion looks to be violent enough to dwarf and completely destroy even a small sized solar system. At full warp speed, the Enterprise barely escapes, and even that is at great distance from 'ground zero'('space zero'?). This sure does not resemble the gentle, 'friendly' effect shown on the demonstration tape! If Kahn hadn't interfered with the plans, how is it reasonably possible that the crew of the Reliant was going to detonate the device and get away safely?
Corrected entry: When Joachim is telling Kahn why they can't return fire on the Enterprise, it's because "They've damaged the photon control and the warp drive. We must withdraw." Notice how his eyes aren't looking at Khan until he says "We must withdraw." indicating that he's reading his lines from an off-screen cue card.