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Principle of Least Action (view source)

Revision as of 05:25, January 10, 2025

236 bytes added ,  05:25, January 10, 2025
This principle assigns an "action" to be the difference in kinetic and potential energy for all possible paths a particle could take, as integrated over time, and the one "chosen" by the particle is the path that minimizes the action.
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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>}}
 
{{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>}}
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This principle assigns an "action" to be the difference in kinetic and potential energy for all possible paths a particle could take, as integrated over time, and the one "chosen" by the particle is the path that minimizes the action.
    
Variations on this principle include the following insights that:
 
Variations on this principle include the following insights that:
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