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arxiv: 0812.5042 · v1 · submitted 2008-12-30 · ✦ hep-th · math-ph· math.MP· quant-ph

Observations on spacetime symmetry and non-commutativity

classification ✦ hep-th math-phmath.MPquant-ph
keywords symmetrylorentznon-commutativespacetimeacutealgebrabeenco-ordinates
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We consider both the co-ordinates and momenta to be non-commutative and define a non-commutative version of Lorentz symmetry which has a smooth limit to the standard Lorentz symmetry. The Poincar\acute{e} algebra in this spacetime has also been discussed.

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