Noncommutativity as a Possible Origin of the Ultrahigh Energy Cosmic Ray and the TeV-photon Paradoxes

Abstract

In this paper, we present a general modified dispersion relation derived from q-deformed noncommutative theory and apply it to the ultrahigh energy cosmic ray and the TeV-photon paradoxes--threshold anomalies. Our purpose is not only trying to solve these puzzles by noncommutative theory but also to support noncommutative theory through the coincidence of the region in the parameter space for resolving the threshold anomalies with the one from the q-deformed noncommutative theory.

arXiv comment9 pages, 1 figure

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Cited by in corpus (10)

• Some consequences of a noncommutative space-time structure
• Laboratory bounds on Lorentz symmetry violation in low energy neutrino physics
• Unified $(q;\alpha ,\beta ,\gamma ;\nu )$-deformation of one-parametric q-deformed oscillator algebras
• Comment on "Noncommutativity as a Possible Origin of the Ultrahigh-energy Cosmic Ray and the TeV Photon Paradoxes"
• Semileptonic B Decays at BABAR
• Baryon asymmetry in the Universe resulting from Lorentz violation
• Black hole evaporation within a momentum-dependent metric
• Black hole evaporation based upon a q-deformation description
• Modified Lorentz transformations in deformed special relativity
• Deriving Spin within a discrete-time theory