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Audio problem: When Doug is staring at the terrorist and says, "I can see him, he's right in front of me", you'll notice that his mouth moves a little before words are actually said. This is because he first says "Jesus", but they took it out because the character playing the terrorist is Jim Caviziel, who played Jesus in Passion of the Christ. The filmmakers did not want to get a laugh out of that line which it inevitably did in test screenings.
Deliberate "mistake": After Doug finds where Minuti was killed and set on fire, he walks over to a dock where he sees Minuti's arm being eaten by alligators. Minuti had been dumped in the water 4 days prior, yet his hand is perfectly intact with no signs of burning, bite marks or weather/water damage of any kind.
Plot hole: In the original timeline in which the movie begins, Carlin is investigating Claire Kuchever's death including her missing fingers. In this same timeline we hear his co-worker tell him that his (Carlin's) fingerprints were all over Kuchever's home. We later find out that the killer cut her fingers off. However, the reason Carlin's prints are all over the home and the reason that certain items are set up in a certain way, was because Carlin was in the home with Kuchever after preventing her death and preventing her fingers from being cut off. So the flaw is: if he kept her fingers from being cut off, he would have been in the home and would have left the prints but her corpse wouldn't be missing fingers (if she died at all). If he didn't prevent her death and dismemberment, he wouldn't have left his prints and certain items in her home. These scenarios could not both occur however.
Continuity: When Denzel first leaves in the hummer he is on the Westbank heading toward the CCC Bridge to the Eastbank (downtown New Orleans). Once he makes it to the bridge, he's suddenly headed back to the Westbank (away from downtown) but on the Eastbank bound span (bridges are one-way), only to exit the freeway and suddenly appear on the Eastbank and cause the accident with the 18-wheeler.
Continuity: In the scene where Doug and the terrorist are talking about 'destiny', the terrorist has a tiny bit of his cigarette left. But when the camera quickly shows a shot of Doug's face and then comes back to the terrorist, his hands are almost in exactly the same place, but the cigarette is gone.
Deliberate "mistake": When Denzel Washington wakes up in the hospital he unplugs the cables attached to the heart monitor. By doing this he shuts down the monitor. Actually those monitors go into yellow alert by disconnecting the heartbeat sensors. They can be configured to do nothing at all by disconnecting but they will never shutdown this way.
Continuity: When Clair is on the post mortem table being examined, look at her eyes. When her head is turned to the right her eyes are as well but when they turn her head to the left her eyes are left as well. Another scene shows her eyes appearing to be looking straight up. Unless her eyes were manually moved they wouldn't change positions after death.
Plot hole: What caused the original time-line to change was essentially the terrorist jumping on the ferry instead of riding his motorcycle to the bridge to view the bombing. Nothing unusual was done to cause the terrorist to jump to the ferry as opposed to the original time-line where Denzel was present and doing everything the same up to that point, since both time-lines had Denzel using the car the terrorist would be familiar with. This of course operating under the assumption that Denzel saved the girl from getting her fingers cut off in both time-lines, which would only make sense plot-line wise to avoid plot-holes. Her fingers probably were dismembered in failure to save ferry in original time-line. Mistake is car triggered terrorist to jump to ferry in new time-line but not in original time-line.






