Position space of Doubly Special Relativity

Details Position space of Doubly Special Relativity Position space of Doubly Special Relativity

2003-11-04

arxiv.org/abs/gr-qc/0311009v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figure

Scientific paper

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.

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