Generalized Lorentz invariance with an invariant energy scale

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Lorentz invariance with an invariant energy scale.

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 e...

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ar X iv : h ep - t h / 01 12 09 0 v 2 1 8 D ec 2 00 1 Lorentz invariance with an invariant energy scale

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 ...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2003

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.67.044017