Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-11
Phys.Rev.Lett.88:190403,2002
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1103/PhysRevLett.88.190403
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.
Magueijo Joao
Smolin Lee
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