Gameplay:
It's a really good mechanic and I had a lot of fun with that dimention swifting, however I felt that movement was a bit irresponsive so it led me to a lot of deaths.
Graphics:
Graphics are really good (if you did them by yourself then great job), tho the robot doesn't suit it a bit, maybe it would be better to make a character like in Limbo, so something more simplistic. And for gems it's not a good idea to mix pixelart with vector graphics like trees. Also you could work on some transitions at the beginning of the game, so that changing scene looks a bit more fluent. Anyway, good job ;)
Audio:
I really like music and idea with changing music style while changing dimension is really good. But there was also lack of transition between those tracks. Maybe it would be better to make them a bit more similiar to each other or make the same track with 2 different variants so that when you switch dimentions you don't get that feeling that something is off.
Innovation:
Really creative idea ;) I also liked the level design and some creative moves you made there. Good job.
Theme:
I kinda gets what you wanted to show my your interpretation of the theme. Not bad, tho it took me a while to notice how it refers.
Great job overall ;)