Muse answered 30 questions posted by fans on the muse.mu boards. If you want to read about the symphonic monster they've been mentionning for years, Matt waking up to a strange lady, what Chris and Dom have to say about Muse's lyrics and much more, follow the link.
Altough Supermassive Black Hole actually features on Twilight's soundtrack, Muse submitted another composition for the movie. Indeed, writer Stephenie Meyer being a big Muse fan, asked Matt Bellamy to write something for the piano-themed Bella's Lullaby. Composer Carter Burwell studied all kind of propositions and ended up discarding Muse's.
My concern, as a composer, is to make the film as a whole compelling, dramatic, emotional and cinematic. But in this case other extraneous concerns quickly started to pile on, all driven by the fans of the book. The piano scene was added because Summit realized fans wanted to hear Edward play the melody referred to as "Bella's Lullaby," and each of those fans has their own idea of the tune. Because I hadn't started writing yet there was a musical vacuum into which other music started to be pulled. Rob improvised a tune for the shoot. Matthew Bellamy, of Muse, sent in his idea of "Bella's Lullaby." And countless readers and musicians sent in their own ideas or posted them on the internet. None of this made my job easier.