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Generalized Lagrange Structure of Deformed Minkowski Spacetime
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
GNFM, Istituto Nazionale di Alta Matematica “F.Severi”, Città Universitaria, Roma, Italy; Istituto per lo Studio dei Materiali Nanostrutturati, (ISMN-CNR), Roma, Italy
ENEA, Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Roma, Italy
- 1 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
- 2 GNFM, Istituto Nazionale di Alta Matematica “F.Severi”, Città Universitaria, Roma, Italy; Istituto per lo Studio dei Materiali Nanostrutturati, (ISMN-CNR), Roma, Italy
- 3 ENEA, Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Roma, Italy
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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.
KeywordsDeformed Space-TimeLorentz InvarianceGeneralized Lagrange Space
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