Have you ever thought about the fact that rotation just happens to be a symmetric transformation? Imagine how fucked the universe would be if it weren't. Every object would be warped and mangled topologically if you do any rotation and you would never be able to undo it to get back its original form, but now apply that to your entire frame of reference. it would be like warping the entire universe irreversibly. Isn't that horrifying? Nothing could build up any complexity without being destroyed due to rotation.
It just baffles me. We are in this system that happens to have so many symmetrical properties where things can stay the same, like the metric of space, the density of objects, the energy the have, and how that energy is transferred. all it would take is the loss of one symmetry and all of that would be gone forever, impossible to be formed.
why do symmetries exist? this seems like such an amazing ass thing.
>>9156207
Noether's Theorem states that symmetries and conservation laws are the same things.
On the topic of rotations, check out Wigner rotation.
>>9156416
But what caused them?