Interesting concept overall. However, one thing which frustrates me a lot is the fact I can't see both the present and the past.
I wish I can zoom out the camera or the camera itself actual focuses on both the present and the past.
It's hard for me to read the dialog since the text is rather small and it doesn't help that jump is also same button used for advancing it. Maybe disallow movement during the dialog and reduce the amount of text to read?
Other than that, it's a neat little puzzle game.