The principle of least action is maybe the most famous, but there's also several others, such as the Hamilton-Jacobi equation or Gauss'principle of least constraint.
22.
According to Richard Feynman, the principle of least action is mathematically more specific than Newton's 2nd law and more fundamental in theoretical physics because it explains a wider range of physical law.
23.
It is a modification of the Hamilton Jacobi equation ( HJE ) from classical mechanics, and can be derived from the Einstein Hilbert action using the principle of least action in the ADM formalism.
24.
He is often credited with having invented the principle of least action; a version is known as Maupertuis'principle & ndash; an integral equation that determines the path followed by a physical system.
25.
By being more specific and thereby explaining only conservative forces, the principle of least action is able to solve problems Newton's 2nd law can't, but the converse is not true.
26.
Hence the principle of least action is not just the culmination of Maupertuis s work in several areas of physics, he sees it as his most important achievement in philosophy too, giving an incontrovertible proof of God.
27.
This problem is conceptually related to the principle of least action in physics, in that it can be restated : what is the principle of action which encloses the greatest area, with the greatest economy of effort?
28.
Hamilton's principle is sometimes referred to as the " principle of least action ", however the action functional need only be " stationary ", not necessarily a maximum or a minimum value.
29.
Maupertuis was the first to publish a " principle of least action ", where he defined " action " as \ int v \, ds, which was to be minimized over all paths connecting two specified points.
30.
Thus, Maupertuis takes credit for conceiving the principle of least action as a " general " principle applicable to all physical systems ( not merely to light ), whereas the historical evidence suggests that Euler was the one to make this intuitive leap.
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