Suppose you changed electromagnetism to be one over r-cubed instead of r-squared. What conservation law breaks? Or just fiddle with the constants.
Hrm. Well, I suppose that if you change the constants then you're not conserving the same exact things, but they would devolve to words in the same ways. All right, second statement withdrawn.
I'll take the first further, though - you can have an energy which is purely kinetic, momentum and angular momentum as usual, etc... and the coupling constants fluctuate randomly, thereby rendering the world highly nondeterministic.
This is a thread where people can ask questions that they would ordinarily feel embarrassed for not knowing the answer to. The previous thread is at close to 500 comments.