time exists because there are hard functions to compute

I have this theory that the true explanation for the arrow of time is explained by computational complexity
If it were easy to compute, given a particular state of the universe (or some effective theory), what state it will be at in a day, in a year, or in a galactic year. Then what point would there be in living this year?
In a sense, now, and a year from now would become equivalent. And that time should therefore collapse.
I guess you also run into the usual circularity of the one doing the predicting cannot be a part of the system which is predicted.
As we better and better at predicting certain regularities in the world (e.g. that certain galaxies will collide at certain times), then that in and of itself has some effect on time.
This is corroborated by our personal experience:
- Time seems to pass at qualitatively different rates, depending on how many conscious decisions we make during that time.
- The fewer conscious decisions, the more rote/predictable things are, the faster time seems to pass
- The more conscious decisions, the more a prior unpredictable things are, the slower time seems to pass.