The FLRW cosmological model revisited: relation of the local time with th e local curvature and consequences on the Heisenberg uncertainty principle

Abstract

version to be published in Advanced Studies in Theoretical PhysicsInternational audienceBy using the FLRW cosmological model, we calculated the relation between the local time and the local curvature in the case of a vacuum dominated universe. We showed that except for special values of the different constants which enter this equation, the time cannot be equal to zero. By using this assumption, we showed also that the demonstration of the uncertainty principle of Heisenberg is only an approximatio