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Principle of Least Action (view source)

Revision as of 05:15, January 10, 2025

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The principle predicts behavior based on energy, not forces, and actions rather than points.  A central equation to this approach integrates over time, for a particular path, the difference between kinetic and potential energies.
 
The principle predicts behavior based on energy, not forces, and actions rather than points.  A central equation to this approach integrates over time, for a particular path, the difference between kinetic and potential energies.
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{{cquote|The Principle of Least Action says that, in some sense, the true motion is the optimum out of all possible motions, The idea that the workings of nature are somehow optimal, suggests that nature is working in an efficient way, with minimal effort, to some kind of plan.<ref>[https://www.damtp.cam.ac.uk/user/nsm10/PrincLeaAc.pdf N.S. Manton, University of Cambridge]</ref>}}
    
Variations on this principle include the following insights that:
 
Variations on this principle include the following insights that:
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