Lorentz invariance with an invariant energy scale
Abstract
We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory at low energies. This is accomplished by a non-linear modification of the action of the Lorentz group on momentum space, generated by adding a dilatation to each boost in such a way that the Planck energy remains invariant. The associated algebra has unmodified structure constants, and we highlight the similarities between the group action found and a transformation previously proposed by Fock. We also discuss the resulting modifications of field theory and suggest a modification of the equivalence principle which determines how the new theory is embedded in general relativity.
Keywords
Cite
@article{arxiv.hep-th/0112090,
title = {Lorentz invariance with an invariant energy scale},
author = {Joao Magueijo and Lee Smolin},
journal= {arXiv preprint arXiv:hep-th/0112090},
year = {2011}
}