Deliberate mistake: In the scene with the first demonstration of the digging laser, they dig/blast quite a hole in the mountain. Even assuming the laser can very easily shatter the rocks substance, still the debris would have to go somewhere, yet there appears to be none. And the amount of power needed to convert matter into energy is not practical.
The Core (2003)
1 deliberate mistake - chronological order
Directed by: Jon Amiel
Starring: Stanley Tucci, Aaron Eckhart, Bruce Greenwood, Richard Jenkins, Hilary Swank, Delroy Lindo, Tchéky Karyo, DJ Qualls
Continuity mistake: On the ship, Dr. Zimsky reveals that project DESTINI is an acronym and that the last letter is "I" and not "Y." (INI standing for INItiative). When Rat is at his computer, he goes to the website for Project Destiny, with a "Y" and not an "I." This same thing happens when the Project Destiny subtitle flashes across the screen.
Dr. Josh Keyes: So what's this about then?
FBI Agent: We don't know. You have higher security clearance than us.
Dr. Josh Keyes: I have security clearance?
FBI Agent: Yes sir, we're just here to take you to your jet.
Dr. Josh Keyes: I have a jet?!
Trivia: If you look closely with time-frame advance during the pigeon scene you will see a fish "flying" into a window instead of a pigeon. (00:08:35)
Question: When Rome is been destroyed by that superstorm, just after the Colosseum explodes which building is the one that is destroyed by the lightning bolts? (The one with the statue of a knight)
Answer: I believe you are referring to the Vittorio Emanuele Monument. Victor Emmanuel II was the first monarch of Italy in the mid to late 1800's. The monument has also been nicknamed the "typewriter" and the "wedding cake".