TITLE:
Generalized Lagrange Structure of Deformed Minkowski Spacetime
AUTHORS:
Roberto Mignani, Fabio Cardone, Andrea Petrucci
KEYWORDS:
Deformed Space-Time, Lorentz Invariance, Generalized Lagrange Space
JOURNAL NAME:
Natural Science,
Vol.6 No.6,
April
16,
2014
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.