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The '''Principle of Least Action''' (PLA) is the most fundamental principle in [[physics]]: the most efficient path of motion always occurs, such that a particle of fixed overall potential and [[Kinetic Energy|kinetic energy]] follows the path that minimizes its action. This principle governing motion applies universally, including subatomic particles, planets, and light. This principle is remarkably productive in [[modern physics]] because it does not depend on vectors or forces, and tends to be independent of coordinate systems.  The [[Parable of the Vineyard Workers]] is [[Biblical scientific foreknowledge]] by foreshadowing this powerful principle of modern physics. The [[Coase theorem]] in [[Economics]] is a similar insight, as is {{bibleref|Romans|8|28}}

The '''Principle of Least Action''' (PLA), or more generally the Principle of Stationary Action,<ref>https://physics.stackexchange.com/questions/144356/when-is-the-principle-of-stationary-action-not-the-principle-of-least-action</ref> is the most fundamental principle in [[physics]]: the most efficient path of motion always occurs, such that a particle of fixed overall potential and [[Kinetic Energy|kinetic energy]] follows the path that minimizes its action. This principle governing motion applies universally, including subatomic particles, planets, and light. This principle is remarkably productive in [[modern physics]] because it does not depend on vectors or forces, and tends to be independent of coordinate systems.  The [[Parable of the Vineyard Workers]] is [[Biblical scientific foreknowledge]] by foreshadowing this powerful principle of modern physics. The [[Coase theorem]] in [[Economics]] is a similar insight, as is {{bibleref|Romans|8|28}}

'''''This principle predicts behavior based on energy, not forces, and on actions rather than points'''''.  A central equation to this approach integrates over time, for a particular path, the difference between kinetic and potential energies.

'''''This principle predicts behavior based on energy, not forces, and on actions rather than points'''''.  A central equation to this approach integrates over time, for a particular path, the difference between kinetic and potential energies.

*[https://towardsdatascience.com/three-mind-blowing-ideas-in-physics-the-stationary-action-principle-lorentz-transformations-and-e86977ea86ad Stationary Action explained]

*[https://towardsdatascience.com/three-mind-blowing-ideas-in-physics-the-stationary-action-principle-lorentz-transformations-and-e86977ea86ad Stationary Action explained]

*[https://medium.com/@hamxa26/a-journey-of-optimization-the-principle-of-least-action-in-physics-350ec8295d76 Medium.com explanation of the Principle of Least Action]

*[https://medium.com/@hamxa26/a-journey-of-optimization-the-principle-of-least-action-in-physics-350ec8295d76 Medium.com explanation of the Principle of Least Action]

 

== References ==

== References ==

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[[Category:Physics]]

[[Category:Physics]]