This is a very interesting idea that deserves further finetuning and polishing. I love how by changing time you change the state of the world, or make you have different abilities (jump higher, be stronger) etc...
Some constructive feedback: I think there is not enough contrast between background and foreground, so it sometimes causes some reduced visual clarity. Also the motion parallax is a bit too much and distracts from the tight platforming. I think it should be more subtle.
From a gameplay perspective: The main character is a bit floaty. Especially things like climbing vines should feel a little bit more rigid. Like I'm snapping on to it.
But don't let this feedback take away from the fact that you have a very cool and unique concept. I haven't seen this before.
Also: the fact that you have multiple versions of the same world is already super nice.
Good job!