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Actually Vice Versa. Path Integral Can Be Derived From

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Posted by Alexander on November 23, 2001 23:19:25 UTC

definition of energy (work) and definition of force.

There are 2 approaches in teaching physics: traditional, in which least-action principle is considered "divine" (given "from above" law of nature, or axiomatic) and such things as 2-nd Newton law F=dp/dt and some other fundamental laws are derived from it.

Second approach is more logical: F=dp/dt is considered NOT a law, but a DEFINITION of force, and hence, energy is DEFINED as E=W=Fs=(dp/dt)s. In this approach least action principle follows from definition of energy via variation integration and thus all universe behaves by least action simply because of definition of force (and energy).

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