2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213904We 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.3 pages, no figure, revtexHigh Energy Physics - TheoryMathematical PhysicsQuantum Physicstext