We are taught in 7th grade that mass is conserved. We are later taught that momentum and energy are conserved.
Up to a constant, these are roughly given by m*v^(0), m*v^(1), and m*v^(2), respectively.
Of course, this is not exactly precise. Mass can become energy, kinetic energy can become potential, et cetera.
I know that the latter two of these come from Noether's theorem and symmetries of the universe (resp. spacial and time translation). But I've also heard about violations of various symmetry, though I'm not a physicists so I often don't really understand the details.
So, I have a few questions, hopefully all somewhat related to this introduction and the title question.
Is there





