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QUELQUES TENTATIVES DE DÉFINIR UNE NOTION GÉNÉRALE DE GROUPES ET DE CORPS DE DIMENSION UN ET DE DÉTERMINER LEURS PROPRIÉTÉS ALGÉBRIQUES
Preview AbstractWe make some attempts to define a general notion of groups and fields of dimension one, and to determine their algebraic properties.
ON THE TOPOLOGICAL NATURE OF THE COSMOLOGICAL CONSTANT
Preview AbstractIt is shown that topological changes in space-time are necessary to make General Relativity compatible with the Newtonian limit and to solve the hierarchy of the fundamental interactions. We detail how topology and topological changes appear in General Relativity and how it leaves an observable footprint in space-time. In cosmology we show that such topological observable is the cosmic radiation produced by the acceleration of the universe. The cosmological constant is a very particular case which occurs when the expansion of the universe into the vacuum occurs only in the direction of the cosmic time flow.