Generalized Lagrange Structure of Deformed Minkowski Spacetime

Roberto Mignani, Fabio Cardone, Andrea Petrucci

Dipartimento di Matematica e Fisica, Sezione di Fisica, Università degli Studi “Roma Tre”, Roma, Italy; GNFM, Istituto Nazionale di Alta Matematica “F.Severi”, Città Universitaria, Roma, Italy; .N.F.N.-Sezione di Roma III, Roma, Italy.
ENEA, Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Roma, Italy.
GNFM, Istituto Nazionale di Alta Matematica “F.Severi”, Città Universitaria, Roma, Italy; Istituto per lo Studio dei Materiali Nanostrutturati, (ISMN-CNR), Roma, Italy.

DOI: 10.4236/ns.2014.66040                

Abstract

We discuss the generalized Lagrange structure of a deformed Minkowski space (DMS), , namely a (four-dimensional) generalization of the (local) space-time based on an energy-dependent “deformation” of the usual Minkowski geometry. In , local Lorentz invariance is naturally violated, due to the energy dependence of the deformed metric. Moreover, the generalized Lagrange structure of allows one to endow the deformed space-time with both curvature and torsion.

Keywords

Deformed Space-Time, Lorentz Invariance, Generalized Lagrange Space

Conflicts of Interest

The authors declare no conflicts of interest.

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