The ghost mechanic reminds me of the clone levels in Mario Galaxy. It's a good concept for sure, though hardly a unique one. I think that the game would benefit from having some background music, as it felt a bit too quiet.
The physics feel a bit akward for a platformer IMO; your air control is way too tight, making the jump feel like a street fighter jump. This makes trying to juke your ghost more difficult and frustrating while reducing the players options greatly.
Binding the wall jump to left and right is a tad unintuitive, since most platformers use the jump button instead. You would also have saved me some time if you had made it clear in the description that a double jump was available :).
I liked the visuals though. The simple background and abstract landscape was nice to look at.
Overall, a good concept but the gameplay needs some improvement.