1. Feb 20, 2007 #1

   xboy

   

   Is it possible to show directly from Newton's Laws that conservation of momentum and energy follow from principles of symmetry?

    

   xboy, Feb 20, 2007
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3. Feb 20, 2007 #2

   AlephZero

   

   Science Advisor

   Homework Helper

   See http://math.ucr.edu/home/baez/noether.html
   
   NB Newton would not have understood the proof, since the concept of energy had not been clearly defined (let alone conserved) when he was alive.

    

   AlephZero, Feb 20, 2007
4. Feb 20, 2007 #3

   vanesch

   

   Staff Emeritus

   Science Advisor

   Gold Member

   I think you also need to postulate that there is some variational principle. After all, frictional systems can be time invariant, and nevertheless, there is no conservation of energy.

    

   vanesch, Feb 20, 2007

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