I have read about the principle of least action. This principle suggests that nature would allow a particle to travel in a path along which the integral of the difference between kinetic energy and potential energy is minimum.

  1. Is this a basic law of nature?

  2. Is it completely independent of other basic laws of nature like conservation of energy and conservation of angular momentum?

  3. At the same time I would like to know how was it reached at, cause this doesn't seem to be something that we can easily identify and generalize.


marked as duplicate by ACuriousMind, Chris Mueller, JamalS, Qmechanic Mar 20 '15 at 16:30

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  • $\begingroup$ You should read about Noethers Theorem! Its closely related to the Lagrangian Mechanics and Conservation Laws! $\endgroup$ – Hritik Narayan Mar 20 '15 at 13:43
  • $\begingroup$ @HritikNarayan : What should we assume while carrying out a formulation using this law . Should we consider that law of conservation of energy can be derived from this law ? $\endgroup$ – Agnivesh Singh Mar 20 '15 at 13:50
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    $\begingroup$ Essentially a duplicate of Why the principle of least action? $\endgroup$ – ACuriousMind Mar 20 '15 at 13:52
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    $\begingroup$ Subquestion 3 is essentially a duplicate of physics.stackexchange.com/q/78138/2451 $\endgroup$ – Qmechanic Mar 20 '15 at 13:56