R. Mignani, F. Cardone, A. Petrucci
We discuss the generalized Lagrange structure of a deformed Minkowski space (DMS), M , namely a (four-dimensional) generalization of the (local) space-time based on an energy-dependent “de-formation” of the usual Minkowski geometry. In M , local Lorentz invariance is naturally violated, due to the energy dependence of the deformed metric. Moreover, the generalized Lagrange structure of M allows one to endow the deformed space-time with both curvature and torsion.
Natural Science, Special Issue 'Simmetry and Relativity, 6, 339-410 (2014)