Dear Christine,
It was a pleasure to read your essay, it is innovative and with brilliant ideas. I like your idea of metadynamics, and I think it has an important foundational and philosophical potential. I particularly liked this:
We can prove the impossibility of proving something!.
Your
Proposition. We cannot deduce all the physical laws from the initial conditions of the Universe.
and your remark that
this "physical incompleteness" is not just the reflection of a mathematical incompleteness for describing a physical law, but the realization of physical laws that cannot be described mathematically
are thought provoking. I've seen several attempts to get out of the box of mathematics or the physical law itself, but they usually are very vague, while I think yours is by far more concrete and of better potential, by the combination of ergodic theory with no-go results like Gödel's. Although I hope we are not limited to know the physical laws, on the other hand I am a bit mysterian, so this wouldn't mind me that much :-)
Thank you for the great reading, and success with the contest!
Cheers,
Cristi