2003/11/04 by Sijie Gao, Gao, Sijie, Xiaoning Wu +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0311009
13 pages, no figure
arxiv created 2003/12/08 · arxiv updated 2009/12/01
We consider three possible approaches to formulating coordinate transformations on position space associated with non-linear Lorentz transformations on momentum space. The first approach uses the definition of velocity and gives the standard Lorentz transformation. In the second method, we translate the behavior in momentum space into position space by means of Fourier transform. Under certain conditions, it also gives the standard Lorentz transformation on position space. The third approach investigates the covariance of the modified Klein-Gordon equation obtained from the dispersion relation.