Good ideas in general, the platforming needs some work to make it fun. It's very hard to tell where you are in relation to the ground or a moving object, at one point near the end I was certain I was standing on air as I tried to inch my way onto an oncoming platform a tiny bit at a time.
The transition effect between dimensions is great, but gets distracting if you changed between them too quickly. I understand that the layout is such that the player doesn't need to switch often, but while learning the layout it can get too disorienting.
