Forgive me if the title sounds ignorant, but I’m genuinely trying to understand this concept. Everything I’ve read about Noether’s theorem says basically the following: If a system remains the same (in some way) after a transformation, then there must be type of quantity or property in the system that remains constant.
But isn’t that just common sense, or already implied by the premise? As I understand it, it basically states that “If something is the same, then something about it has not changed”.
In: Physics
Something being a common sense is very much useless in science.
You need something that can be proven.
Noether’s Theorem has been proven by mathematician Emmy Noether and because it has been proven we can now reliably use it as a building block for other works.
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