Loved the game mechanic! It blends nicely with the theme and the retro style is really captivating!
Jumping through dimensions felt juicy and fun, and there are some puzzle levels that exploit well the mechanics developed here.
The only thing I have to point out is the responsiveness in the character's movement. The left and right movement feel like the lag behind the input and the jump feels floaty, in a game where i'd expect some more precision-like movement.
Overall a great submission, great work here! :D