Hey there. John Rogers, screenwriter for The Core. Stumbled across your post.
I'm with you that movies like Armageddon taught crap science to kids, AND was just lazy writing. That's why I want to assure you, as someone who holds a degree in physics (granted, one I don't use much anymore...), most of the science in the movie is DEAD ON. The fluid core of the earth not only rotates, but spins faster than the earth itself. The change in this rotation is generally what's given credit for the pole shift every half-million years. It's also the engine which drives the EM field of the earth, having most of the effects described in the movie (although unfortunately not in the trailer). Most of the fluid dynamics work I did as background didn't make into the film, but the idea is that the core is at an unstable "tipping point" of stasis, and the big bang is wat we need to knock it off that point. You know, like the old "ball on a hill" example of potential energy we all learned in high school.
The ship itself, of course, couldn't exist. That's the science "fiction" part of the movie. All the elements of the ship DO however exist. The cockpit's a modified shuttle cockpit, the molecule forming the ship's skin is based on a real molecule, the video/MRI panels are based on the work of a guy I actually went to school with. The device Zimsky builds is based on research from the '40's, and even the hacker character's stunts are drawn from tales of the web underground.
Yes, some dramatic liberties are taken, and some of the disasters are a little bigger than what might happen. But that's the entertainment part of the equation. I hope you'll go and enjoy yourself when the movie opens. Even if you don't like the story, I assure you your intelligence won't be insulted.