This is a very solid game, both in terms of mechanics and presentation! Really nice, consistent, yet minimalist visual style, with interesting gameplay that takes advantage of the theme somewhat decently. I enjoyed how challenging it was as well!
It took me a few levels before understanding how you implemented the theme (specifically until the level with the rotating bar) as I thought those red circles were just teleporters :P
If you continue to work on this: Maybe you can present the concept of "dying to return to the start" a little more clearly, at least visually, by making the red objects appear more lethal? Like making the red circles rotating buzzsaws, for example.