La géométrie et le quantique
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La géométrie et le quantique
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Narrated by:
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Alain Connes
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By:
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Alain Connes
About this listen
En 1637, Descartes révolutionne la manière que l'on a de faire de la géométrie : il pose les bases de ce que l'on appelle la "géométrie algébrique", qui associe, à chaque point de l'espace, 3 coordonnées. Cela permet de résoudre des problèmes géométriques avec des outils algébriques. Cette géométrie est dite "commutative", c'est-à-dire que le produit de deux quantités ne dépend pas de l'ordre des termes : A × B = B × A. Cette propriété est fondamentale, et l'ensemble de l'édifice mathématique en dépend.
En 1925, la mécanique quantique vient à nouveau tout bouleverser. L'espace géométrique des états d'un système microscopique, un atome par exemple, s'enrichit de nouvelles propriétés de ses coordonnées, qui ne commutent plus. Il faut donc adapter l'ensemble des outils mathématiques à ces nouveaux paradigmes. Cette géométrie "non-commutative", devenue essentielle à la recherche en physique, a été développée par Alain Connes.
Alain Connes est mathématicien, médaille Fields, médaille d'or du CNRS, et titulaire de la chaire Analyse et Géométrie du Collège de France.
Ce titre vous intéresse, vous aimerez aussi les titres de la collection L’Académie raconte les sciences.
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