Alright, a few quick tips for anyone still looking to solve it (with minimal spoilers)
So the core of the game comes down to the four time machines and how they work. Each one has it's unique effects and conditions needed to resolve the paradox:
First, you have the twin microchip gates. These guys are pretty simple, just launching out a white ball, and "receiving" it in the future 7 ticks later. Worth noting that unlike the other time machines, this one can be used as many times as you want.
Next, you have the pressure tube. While at first this one may seem similar to the gates, it's different in two ways: It can only be used once, but the red ball can be received at any point in the future.
Third, you have the Delorean. This one's unique in that you can send the Delorean both forwards and backwards in time. But although the game lets you drag multiple instances of it onto the timeline, know that in practice you can only resolve it's paradox once.
Finally, you have the Time gears. These are the simplest time machine of the four, lighting a fire when activated. To resolve it's paradox, find a way to light the bottom right rope.
All in all, this game is a pretty neat puzzle. Would be interesting to see it's concepts expanded and fleshed out a little more.