Phys Rev Lett. 2002 May 13;88(19):190403. Epub 2002 Apr 26.

Lorentz invariance with an invariant energy scale.

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Theoretical Physics, The Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, United Kingdom.

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 nonlinear 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. 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.

PMID:: 12005620; [PubMed]

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Lorentz invariance with an invariant energy scale.
Lorentz invariance with an invariant energy scale.
Phys Rev Lett. 2002 May 13 ;88(19):190403. Epub 2002 Apr 26 .

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Lorentz invariance with an invariant energy scale.

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