Lorentz invariance violation and generalized uncertainty principle

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• 作者：Abdel Nasser Tawfik ; H. Magdy ; A. Farag Ali
• 刊名：Physics of Particles and Nuclei Letters
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：13
• 期：1
• 页码：59-68
• 全文大小：418 KB
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• 作者单位：Abdel Nasser Tawfik (1) (2)
  H. Magdy (1)
  A. Farag Ali (3)
  
  1. Egyptian Center for Theoretical Physics (ECTP), Modern University for Technology and Information (MTI), 11571, Cairo, Egypt
  2. World Laboratory for Cosmology and Particle Physics (WLCAPP), 11571, Cairo, Egypt
  3. Physics Department, Faculty of Science, Benha University, Benha, 13518, Egypt
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Nuclei
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1531-8567

文摘

There are several theoretical indications that the quantum gravity approaches may have predictions for a minimal measurable length, and a maximal observable momentum and throughout a generalization for Heisenberg uncertainty principle. The generalized uncertainty principle (GUP) is based on a momentum-dependent modification in the standard dispersion relation which is conjectured to violate the principle of Lorentz invariance. From the resulting Hamiltonian, the velocity and time of flight of relativistic distant particles at Planck energy can be derived. A first comparison is made with recent observations for Hubble parameter in redshift-dependence in early-type galaxies. We find that LIV has two types of contributions to the time of flight delay Δt comparable with that observations. Although the wrong OPERA measurement on faster-than-light muon neutrino anomaly, Δt, and the relative change in the speed of muon neutrino Δv in dependence on redshift z turn to be wrong, we utilize its main features to estimate Δv. Accordingly, the results could not be interpreted as LIV. A third comparison is made with the ultra high-energy cosmic rays (UHECR). It is found that an essential ingredient of the approach combining string theory, loop quantum gravity, black hole physics and doubly spacial relativity and the one assuming a perturbative departure from exact Lorentz invariance. Fixing the sensitivity factor and its energy dependence are essential inputs for a reliable confronting of our calculations to UHECR. The sensitivity factor is related to the special time of flight delay and the time structure of the signal. Furthermore, the upper and lower bounds to the parameter, a that characterizes the generalized uncertainly principle, have to be fixed in related physical systems such as the gamma rays bursts. The article is published in the original.