# Does Action in Classical Mechanics have a Interpretation? [duplicate]

Possible Duplicate:
Hamilton's Principle

The Lagrangian formulation of Classical Mechanics seem to suggest strongly that "action" is more than a mathematical trick. I suspect strongly that it is closely related to some kind of "laziness principle" in nature - Fermat's principle of "least time", for example, seems a dangerously close concept - but I cannot figure out these two principles are just analogous, or if there's something deeper going on. Am I missing something obvious? Why is action

$$A = \int (T-V) \, dt$$

and what interpretation does the $T-V$ term in it have?

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 possible repeat: physics.stackexchange.com/questions/9/hamiltons-principle – Mark Eichenlaub Jan 26 '11 at 8:29 I voted it is a repeat, please join, Mark. – Luboš Motl Jan 26 '11 at 8:36