Noether's Theorem
A physicists view at and new gnosiological aspects of the famoustheorem
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Here, a rather new gnosiological concept is proposed, or pretty renewed one. Because, Noether's theorem is not applied to obtain laws of conservation of natural, physical objects and concepts, which is to the general opinion, the main and most important purpose of this theorem, but to a somewhat different goal. I.e. to check the validity of some theories from the point of view of their fitting to describe natural processes which are obeying (as all natural processes are, in fact) the laws of conservation of physical quantities such as energy, momentum, angular momentum and spin. As it was ment...
Here, a rather new gnosiological concept is proposed, or pretty renewed one. Because, Noether's theorem is not applied to obtain laws of conservation of natural, physical objects and concepts, which is to the general opinion, the main and most important purpose of this theorem, but to a somewhat different goal. I.e. to check the validity of some theories from the point of view of their fitting to describe natural processes which are obeying (as all natural processes are, in fact) the laws of conservation of physical quantities such as energy, momentum, angular momentum and spin. As it was mentioned elsewhere, interestingly enough, Noether's theorem was even discovered to check one theory (General Theory of Relativity) in that sense, but this has been ever since forgotten, and this theorem was recognized as the most useful tool for connecting symmetries and conservation in modern physics.
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