110 citations · 345 across the 14 of their papers we have counts for
14 papers
Relation of deformed nonlinear algebras with linear ones
A. Nowicki, V. M. Tkachuk
The relation between nonlinear algebras and linear ones is established. For one-dimensional nonlinear deformed Heisenberg algebra with two operators we find the function of deforma…
Deformed Heisenberg algebra and minimal length
T. Masłowski, A. Nowicki, V. M. Tkachuk
A one-dimensional deformed Heisenberg algebra is studied. We answer the question: For what function of deformation there exists a nonzero minimal uncertainty i…
Four classes of modified relativistic symmetry transformations
J. Lukierski, A. Nowicki
We discuss the nonlinear transformations of standard Poincaré symmetry in the context of recently introduced Doubly Special Relativity (DSR) theories. We introduce four classes of…
Nonlinear and Quantum Origin of Doubly Infinite Family of Modified Addition Laws for Fourmomenta
J. Lukierski, A. Nowicki
We show that infinite variety of Poincaré bialgebras with nontrivial classical r-matrices generate nonsymmetric nonlinear composition laws for the fourmomenta. We also present the…
Doubly Special Relativity versus -deformation of relativistic kinematics
J. Lukierski, A. Nowicki
We argue that recently proposed by Amelino-Camelia et all [1,2] so-called doubly special relativity (DSR), with deformed boost transformations identical with the formulae for -d…
Absorption of TeV Photons and -deformed Poincaré algebra
G. Amelino-Camelia, J. Lukierski, A. Nowicki
We consider the process of collision between a hard photon and a soft photon producing an electron-positron pair, under the assumption that the kinematics be described according to…