Changes

fuller explanation
Line 1: Line 1: −
The '''Principle of Least Action''' was originally formulated by Pierre Louis Maupertuis, who believe that nature must always operate in the most efficient way possible, so all laws of nature should be described as the minimization of a certain [[quantity]].  Pierre Louis Maupertuis considered the Principle of Least Action as a proof that God exists.{{fact}}
+
The '''Least Action Principle''' (LAP), or '''Principle of Least Action''', was originally formulated by Pierre Louis Maupertuis, who stated that nature must always operate in the most efficient way possible, so all laws of nature should be described as the minimization of a certain [[quantity]].  Pierre Louis Maupertuis considered the Principle of Least Action as a proof that God exists.
 +
 
 +
In general terms, LAP dictates that:
 +
*nature chooses the path of least distance and time, or the surface of least area
 +
*nature expends the lowest deformation energy in deforming an elastic body
 +
 
 +
Adherence to the '''least-action principle''' enables identifying a unique solution from an infinite number of possibilities.
    
In [[classical mechanics]], the Least Action Principle states that the motion of a particle along some path always minimizes the difference between its [[kinetic energy]] and its [[potential energy]].  Mathematically, the motion of a particle always minimizes the Lagrangian action functional.
 
In [[classical mechanics]], the Least Action Principle states that the motion of a particle along some path always minimizes the difference between its [[kinetic energy]] and its [[potential energy]].  Mathematically, the motion of a particle always minimizes the Lagrangian action functional.
Anthony, Irenaeus, Siteadmin, apieditor, Bureaucrats, Check users, nsAm_Govt_101RO, nsAm_Govt_101RW, nsAm_Govt_101_ta, nsJudgesRO, nsJudgesRW, nsJudges_talkRO, nsJudges_talkRW, nsTeam2RO, nsTeam2RW, nsTeam2_talkRO, nsTeam2_talkRW, oversight, Administrators
126,480

edits