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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 must minimize the [[Feynman path integral]].
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]].
Recently, mathematician Alain Connes has formulated a ''spectral action principle'' that seeks to apply the Least Action Principle to the mathematical formulation of quantum gravity.
Recently, mathematician Alain Connes has formulated a ''spectral action principle'' that seeks to apply the Least Action Principle to the mathematical formulation of quantum gravity.
[[category: physics]]
[[category: physics]]