Abstract
We discuss some of the tests of Lorentz symmetry made possible by astrophysical observations of ultrahigh energy cosmic rays, γ-rays, and neutrinos. These are among the most sensitive tests of Lorentz invariance violation because they are the highest energy phenomena known to man.
Highlights
One of the main motivations for testing Lorentz symmetry comes from the search for an answer to one of the most fundamental problems of modern physics: how to reconcile general relativity with quantum physics
This paper reviews the topic of testing the exactness of Lorentz symmetry using astrophysical observations of ultrahigh energy cosmic rays, γ-rays and neutrinos. (For a review of tests of Lorentz symmetry in the gravitational sector, see [4].) Cosmic γ-rays have been observed at energies up to O(103 ) GeV
A unification of these fundamental principles must somehow occur at the Planck scale
Summary
One of the main motivations for testing Lorentz symmetry comes from the search for an answer to one of the most fundamental problems of modern physics: how to reconcile general relativity with quantum physics This problem is acute on the length scale where the effect of quantum fluctuations. This paper reviews the topic of testing the exactness of Lorentz symmetry using astrophysical observations of ultrahigh energy cosmic rays, γ-rays and neutrinos. (For a review of tests of Lorentz symmetry in the gravitational sector, see [4].) Cosmic γ-rays have been observed at energies up to O(103 ) GeV. Even ultrahigh energy cosmic ray nuclei have been observed only up to O(1011 ) GeV energy These energies are much lower than MPl. the effects of violations of Lorentz invariance (LIV) can be manifested at energies much lower than MPl . LIV can modify neutrino oscillations [5,7]
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