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.

  • $\begingroup$ 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