GAHD Posted June 28, 2015 Report Share Posted June 28, 2015 https://www.youtube.com/watch?v=sbsGYRArH_whttp://arxiv.org/abs/1505.03117Anyone around here have some insights on this subject? I find the idea of energy symmetry quite interesting. Quote Link to comment Share on other sites More sharing options...
LaurieAG Posted June 28, 2015 Report Share Posted June 28, 2015 GAHD, Emmy Noether discovered and proved the connection between symmetries and conservation laws early last century. The following link is to a paper by Nina Byers that goes into the history of the discovery. It's interesting to note that improper energy theorems played a large part in the general theory. http://arxiv.org/abs/physics/9807044v2 Emmy Noether proved two deep theorems, and their converses, on the connection between symmetries and conservation laws. Because these theorems are not in the mainstream of her scholarly work, which was the development of modern abstract algebra, it is of some historical interest to examine how she came to make these discoveries. The present paper is an historical account of the circumstances in which she discovered and proved these theorems which physicists refer to collectively as Noether's Theorem. The work was done soon after Hilbert's discovery of the variational principle which gives the field equations of general relativity. The failure of local energy conservation in the general theory was a problem that concerned people at that time, among them David Hilbert, Felix Klein, and Albert Einstein. Noether's theorems solved this problem. With her characteristically deep insight and thorough analysis, in solving that problem she discovered very general theorems that have profoundly influenced modern physics. Quote Link to comment Share on other sites More sharing options...
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