LEAST ACTION (Principle of) 1)2)
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Motion and change are always achieved in a way such as the needed action is at the minimum.
This variation principle has its origin in celestial mechanics and mathematics. It has however been since rediscovered in quantum theory and in relativity (geodesic paths).
Least action is necessarily related to the global fields within which it takes place, themselves to be described in terms of Hamiltonian systems.
While it probably corresponds to PRIGOGINE's Theorem of minimum entropy production, the status of the principle in relation to thermodynamics of irreversible systems far-from-equilibrium, dissipative structuration and deterministic chaos does not yet seem to be clearly established.
This principle was first enounced by Pierre MOREAU de MAUPERTUIS, J. CASTI exemplifies and comments: "This action", is an abstract quantity, like energy but different, that depends on the path of the comet between a starting point and an ending point. In principle, a comet might follow any of an infinite number of different paths – it might follow a straight line, for example, or a complicated path that wriggles back and forth, Every conceivable path has a different action, and of all these, the path actually taken has the least" (J. CASTI, 1998, p.44).
One wonders if MAUPERTUIS' principle does not signal a bridge between EINSTEIN's understanding of the relation between time and space and PRIGOGINE's understanding of the relation between time, energy, entropy and emergence.
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Bertalanffy Center for the Study of Systems Science(2020).
To cite this page, please use the following information:
Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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