2002年
Have we already detected astrophysical symptoms of space-time noncommutativity?
Physical Review D - Particles, Fields, Gravitation and Cosmology
- ,
- ,
- ,
- 巻
- 65
- 号
- 8
- 開始ページ
- 7
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevD.65.083003
We discuss astrophysical implications of κ-Minkowski space-time, in which space-time noncommutativity appears. 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 of γ rays from Markarian (Mk) 421 does not exclude space-time noncommutativity. Based on this observation, we analyze reaction processes in κ-Minkowski space-time which are related to the puzzling detection of extremely high-energy cosmic rays above the Greisen-Zatsepin-Kuzmin cutoff and of high-energy (∼20 TeV) γ rays from Mk 501. In these analyses, we take into account the ambiguity of the momentum conservation law which cannot be determined uniquely from a mathematical viewpoint. We find that peculiar types of momentum conservation law with some length scale of noncommutativity above a critical length scale can explain such puzzling detection. We also obtain stringent constraints on the length scale of noncommutativity and the freedom of the momentum conservation law. © 2002 The American Physical Society.
- ID情報
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- DOI : 10.1103/PhysRevD.65.083003
- ISSN : 1550-2368
- ISSN : 1550-7998
- SCOPUS ID : 85038344567