The Problem of Symmetry in the Universe

We notice that the equations of universe have these symmetries in them, but i guess we didn't know that they were connected to the idea of conservation of momentum. And it turns out that you can like, rotate different quantum fields sort of into each other,. ean like swap in different colors of corks, turn red to green and green to blue and blue to red. But there are a sort of deeper also, rs, kind of at the quantum level rate. They involve rotations, but not in a physical rotation. You just like changing labels on quantum stuff. These are just as important and reveal something really deeply true about the universe.