Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-12-26
Phys.Lett.B649:310-316,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
replaced with published version. due to page limits this version is significantly shorter than the 1st
Scientific paper
10.1016/j.physletb.2007.04.019
We investigate how deformations of special relativity in momentum space can be extended to position space in a consistent way, such that the dimensionless contraction between wave-vector and coordinate-vector remains invariant. By using a parametrization in terms of an energy dependent speed of light, and an energy dependent Planck's constant, we are able to formulate simple requirements that completely determine the active transformations in position space. These deviate from the standard transformations for large velocities of the observed object. Some examples are discussed, and it is shown how the relativistic mass gain of a massive particle is affected. We finally study the construction of passive Lorentz-transformations.
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