First we still don’t understand how time crystals work. There are some nice recent advancements though https://news.ycombinator.com/item?id=31766804
For those who are not familiar with time crystals and weird time related things like Delayed-Choice Quantum Eraser, here is a nice Sean Carroll's article https://www.preposterousuniverse.com/blog/2019/09/21/the-not...
The Delayed-Choice Quantum Eraser (and other weird time related things) always reinforce the many-world interpretation, the most mathematically minimal of all.
As strange as it is, even if it is true, many-world is only scratching the surface of our reality.
We need a new mathematical framework that goes beyond spacetime and amplituhedron https://en.m.wikipedia.org/wiki/Amplituhedron (from which more re-interpretations can happen, especially ones that can encapsulate consciousness more than just “an observer” (or worst leading to absurdity like the quantum suicide experiment https://en.m.wikipedia.org/wiki/Quantum_suicide_and_immortal... )
There could be a huge connection between time crystals and “consciousness” in ways we don’t understand. In that case “consciousness” would be related to quantum computation. Or likely going beyond that as we reformulate our understanding of physics.
Also, there are also so much about computation we need to advance our understanding in (like what does the Curry-Howard correspondence implies about our universe? And why is the current formulation makes it so difficult or almost impossible to prove p =? np ?).
There are so many work to be done in these two fields.
And we still don’t understand how meditation work and why practising mindfulness can help us to be more productive at work