Background independence means that the laws of physics don't depend on any particular background or environment. It's like if you were playing with blocks, and you had a green surface to play on. The blocks might look different on that surface than they would on a blue surface, but the rules of the game wouldn't change just because of the color of the surface. Similarly, the laws of physics should work the same way no matter where they are applied, without any special background being required. This idea is important in our study of the universe because it allows us to make predictions about how things should behave no matter where we look in the universe.