Re: The proof of Noether theorem

On 05/04/2025 11:55 PM, Maciej Woźniak wrote:

Well, Pythagorean theorem had about
120 proofs - and is still [allegedly]
not valid  for the world we inhabit.
>
So, how about Noether theorem? Proven
or not, the question whether it is valid
should still be open I guess?

It's really simple and follows from Pauli principle.
I.e., that one thing cannot be in two different places.
So, it's often represented as that two quantities
have the same sum, "conservation", simply as of
after about a symmetry, "same difference" on both
sides, any what's an "invariant".
The, "continuity" law is often written rather
simply, "equals zero", so of course the "conservation"
and "continuity" laws are inextricable.
Then, "continuity" law can also be written as
"conservation" law, and vice versa.
Then, a usual idea in extended bodies is that
it's more properly, "continuity law".