Interesting idea, but I'm left wondering if there may be a better implementation.
Platformers generally require consistency, and adding (seeming) randomness to a required mechanic takes a lot of that away. Maybe the instability could be represented symbolically some way without actually reducing the consistency of the gameplay? Or there could be a way to resolve the instability in order to attain the consistency required for a solid platformer?
Regardless, it's a really interesting concept, and good entry overall.