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

Nathalie Olivi-Tran (1) , Paul M Gauthier (2)

1 SPCTS - Science des Procédés Céramiques et de Traitements de Surface
2 Departement de Mathematiques et de Statistique

By 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 approximation

Mots clés: cosmology; quantum mechanics; Heisenberg uncertainty principle

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Nathalie Olivi-Tran, Paul M Gauthier. The FLRW cosmological model revisited: relation of the local time with th e local curvature and consequences on the Heisenberg uncertainty principle. Advanced Studies in Theoretical Physics, 2008, 2 (6), pp.267-270. ⟨hal-00142508v5⟩