Plot hole: During the warp-speed chase, the Vengeance literally blasts the Enterprise to pieces, and dozens if not scores of Enterprise crew members are killed and injured in the carnage. The medical crew, including Chief Medical Officer McCoy, should have been working feverishly on the wounded and dying for hours, at least. Instead, as Kirk asks Khan for help, the Sickbay is practically deserted, and McCoy is almost idly conducting blood experiments on a dead tribble. There's no sense of a catastrophic medical emergency whatsoever. It's as though the Sickbay sequence was shot for a different script in which there was no emergency, and then lazily inserted into a rewritten script.
Star Trek Into Darkness (2013)
1 plot hole
Directed by: J.J. Abrams
Starring: Benedict Cumberbatch, Simon Pegg, Chris Pine, Karl Urban, Zoe Saldana, Anton Yelchin, Alice Eve, John Cho, Zachary Quinto
Factual error: Enterprise and Vengeance come out of warp near the moon, 237,000km from Earth. Due to their altercation. They lose power and proceed to fall freely toward Earth. The scene plays as though it takes a matter of a few minutes, too fast to get the situation under control. At that distance, the gravity acceleration from Earth would only be .01 m/sec/sec. This means that they should have had approximately 2.52 days before crashing, especially given their apparent relative stop as per the visible moon.
Christopher Pike: Are you giving me attitude, Spock?
Spock: I'm expressing multiple attitudes simultaneously, Sir. To which are you referring?
Trivia: The library that is bombed is called the "Kelvin Memorial Archive," a reference to the destruction of the U.S.S. Kelvin seen in the first film. (00:18:05)
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Answer: Unless the cold fusion went directly into the volcano, all the way to the source of the pressure.