Lorentz Invariance Violation and the QED Formation Length

Abstract

It was recently suggested that possible small volations of Lorentz invariance could explain the existence of UHECR beyond the GZK cutoff and the observations of multi-TeV gamma-rays from Mkn 501. Our analysis of Lorentz-violating kinematics shows that in addition to the modified threshold conditions solving cosmic ray puzzles we should expect a strong suppression of electromagnetic processes like bremsstrahlung and pair creation. This leads to drastic effects in electron-photon cascade development in the atmosphere and in detectors.

9 pages, some new comments and references added

References in corpus (4)

• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Invariance Violation Extends the Cosmic Ray Horizon ?
• Probing The Structure of Space-Time with Cosmic Rays
• An infrared background--TeV gamma-ray crisis?

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