MULTIVALUED LAGRANGIANS AND NON-SINGULAR COSMOLOGIES

In high energy physics renormalization group techniques suggest the possibility that Lagrangians could be multi-valued functions of scalars built from the fields. In a simplified model we investigate the consequences of an analogous formulation in the context of gravitational theories. In this case the curvature can naturally acquire an upper bound. We then suggest that it could be interesting to use this property to address the singularity problem in cosmological models.