In 2011 an unusual film, called Another Earth, was released.
On the night of the discovery of a duplicate Earth in the Solar system, an ambitious young student and an accomplished composer cross paths in a tragic accident.
I don't know if it counts as an "indie film" or if it is really in the "low budget" category. But it's not blockbuster material and it is a bit arty. But it is also a bit sci-fi. IMDB classify the film as sci-fi, but it's not a Twelve Monkeys, Star Trek or Armageddon. However, it does use a science fiction backdrop to tell a story, explore concepts and emotional predicaments.
Another Earth is an immensely thoughtful film. It touches on fate, remorse, self-punishment, healing and redemption. It is well worth a watch, and this is not just because Brit Marling is in it and stunning.
There is also some remarkable music attached to the film.
Click the picture below to listen to it. It's amazing.