On the necessary truth of the laws of classical mechanics |
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Authors: | Olivier Darrigol |
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Affiliation: | aCNRS: Rehseis, 83 rue Broca, 75013 Paris, France |
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Abstract: | The idealization of primitive mechanical experience is shown to lead to four mutually related formulations of classical mechanics based on connections, action at a distance, stresses, and collisions. For a given structure of spacetime and a given characterization of mechanical systems, fundamental laws (including Newton's law of acceleration and d’Alembert's principle) are derived from a few general principles regarding the comprehensibility of motion. Special emphasis is placed on the “secular principle,” according to which the evolution of a system at the relevant time scale should not depend on finer details of the applied forces. |
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Keywords: | Classical mechanics Connected systems d’ Alembert Saint-Venant |
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