- #1
Eiren
- 1
- 0
I have a question.
According to Noether's theorem,
"For each symmetry of the Lagrangian, there is a conserved quantity."
But soon I thought that I can also prove
"For each conserved quantiry, there is a symmetry of the Lagrangian."
Actually I can prove the second statement if I start prove from back, although it seems unnatural...So... Symmetry and Conservation.
Which is first?
Which concept is more fundamental than another?
(the image is from http://www.people.fas.harvard.edu/~djmorin/chap6.pdf )
According to Noether's theorem,
"For each symmetry of the Lagrangian, there is a conserved quantity."
But soon I thought that I can also prove
"For each conserved quantiry, there is a symmetry of the Lagrangian."
Actually I can prove the second statement if I start prove from back, although it seems unnatural...So... Symmetry and Conservation.
Which is first?
Which concept is more fundamental than another?
(the image is from http://www.people.fas.harvard.edu/~djmorin/chap6.pdf )