Have we already detected astrophysical symptoms of space-time noncommutativity ?

Details Have we already detected astrophysical symptoms of space-time noncommutativity ? Have we already detected astrophysical symptoms of space-time noncommutativity ?

2001-11-18

arxiv.org/abs/gr-qc/0111056v2

Phys.Rev. D65 (2002) 083003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 6 figures, submitted to PRD, corrected some mistakes

Scientific paper

10.1103/PhysRevD.65.083003

We discuss astrophysical implications of $\kappa$-Minkowski space-time, in which there appears space-time noncommutativity. We first derive a velocity formula for particles based on the motion of a wave packet. The result is that a massless particle moves at a constant speed as in the usual Minkowski space-time, which implies that an arrival time analysis by $\gamma$-rays from Markarian (Mk) 421 does not exclude space-time noncommutativity. Based on this observation, we analyze reaction processes in $\kappa$-Minkowski space-time which are related to the puzzling detections of extremely high-energy cosmic rays above the Greisen-Zatsepin-Kuzmin cutoff and of high-energy ($\sim$20 TeV) $\gamma$-rays from Mk 501.

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