Changes

In classical mechanics, the Least Action Principle states that the motion of a particle along some path always minimize the difference between its kinetic energy and its potential energy.  Mathematically, the motion of a particle always minimizes the Lagragian action functional.

In classical mechanics, the Least Action Principle states that the motion of a particle along some path always minimize the difference between its kinetic energy and its potential energy.  Mathematically, the motion of a particle always minimizes the Lagragian action functional.

In [[General Relativity]], the Least Action Principle states that the motion of a particle on a surface M must be a geodesic of M, so it must minimize the geodesic functional.

In [[General Relativity]], the Least Action Principle states that the motion of a particle on a surface M must be a [[geodesic]] of M, so it must minimize the geodesic functional.

In [[Quantum Mechanics]], the Least Action Principle states that the motion of a subatomic particle from its initial state to its end state must minimize the [[Feynman path integral]], which is a sum over all possible path a particle can take from initial state to end state.  

In [[Quantum Mechanics]], the Least Action Principle states that the motion of a subatomic particle from its initial state to its end state must minimize the [[Feynman path integral]], which is a sum over all possible path a particle can take from initial state to end state.