Is there any reason for principle of least action to be true?

Asked Aug 20 '15 at 05:03

Active Aug 20 '15 at 06:32

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My question is not rigidly related to physics. The principle of least actions says that for any dynamical system there exists a function parameterized by $q$'s and $\dot{q}$'s such that the line integral of the function from state $A$ to state $B$ with respect to the parameter $s$ is stationary. Is there any rigorous mathematical proof of the principle?

Can I apply the principle of least action to study the evolution of a dynamical system in phase Space?

edited Aug 20 '15 at 06:32

DanielSank

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asked Aug 20 '15 at 05:03

Abhishek Pal

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possible duplicate of How do I show that there exists variational/action principle for a given classical system? – John Rennie Aug 20 '15 at 05:51
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The question Why the Principle of Least Action? is also related. – John Rennie Aug 20 '15 at 05:52

Is there any reason for principle of least action to be true?

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