The concept is cool but I feel like platforming is a little too blind. It might be better if the ground has an outline instead of completely invisible. Or maybe if the player has rechargeable double jump, then the penalty from missing a jump would be much smaller. 

In my opinion, the fact that you are obligated to switch dimension in order to progress is kind of defying the idea of binding attack with switch. Because if you don't attack, you take the risk of death by enemies, and if you attack, you take the risk of death by missing a jump. Due to the fact that you have to switch dimension to make certain jumps, you are forced to be penalize (taking risk).