Very nice presentation! I feel like the difference between the 2 timelines could be more drastic, so its more obvious that we are moving through a huge time gap, similar to the smoke clouds in the distance at the start. Most of the timeline swaps boil down to just switching when there is something blocking your path, being able to affect the future yourself by making changes would be a nice addition!
The movement felt very stiff, especially for a precision style platformer at times. I feel like having more air control would make a big difference, since I often found myself not going where I intended to go when jumping.
Nearly every spot with spikes were always off screen, maybe have a way to look below yourself, or adjust the level designs for the spikes to be seen. Especially when dying takes you back a huge distance, and checkpoints are scarce.
Visuals and audio were great! Animations were also smooth.
Nice job!