Generalized Lorentz invariance with an invariant energy scale

Details Generalized Lorentz invariance with an invariant energy scale Generalized Lorentz invariance with an invariant energy scale

2002-07-22

arxiv.org/abs/gr-qc/0207085v1

Phys.Rev.D67:044017,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.67.044017

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the Lorentz transformations on momentum space. Several examples are discussed in which the speed of light varies with energy and elementary particles have a maximum momenta and/or energy. Energy and momentum conservation are suitably generalized and a proposal is made for how the new transformation laws apply to composite systems. We then use these results to explain the ultra high energy cosmic ray anomaly and we find a form of the theory that explains the anomaly, and leads also to a maximum momentum and a speed of light that diverges with energy. We finally propose that the spatial coordinates be identified as the generators of translation in Minkowski spacetime. In some examples this leads to a commutative geometry, but with an energy dependent Planck constant.

Affiliated with

Also associated with

No associations

Rating

Generalized Lorentz invariance with an invariant energy scale does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Lorentz invariance with an invariant energy scale, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Lorentz invariance with an invariant energy scale will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673086