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Constraints on spacetime anisotropy and Lorentz violation from the GRAAL experiment
The GRAAL experiment could constrain the variations of the speed of light.
The anisotropy of the speed of light may imply that the spacetime is
anisotropic. Finsler geometry is a reasonable candidate to deal with the
spacetime anisotropy. In this paper, the Lorentz invariance violation (LIV) of
the photon sector is investigated in the locally Minkowski spacetime. The
locally Minkowski spacetime is a class of flat Finsler spacetime and refers a
metric with the anisotropic departure from the Minkowski one. The LIV matrices
used to fit the experimental data are represented in terms of these metric
deviations. The GRAAL experiment constrains the spacetime anisotropy to be less
than . In addition, we find that the simplest Finslerian photon
sector could be viewed as a geometric representation of the photon sector in
the minimal standard model extension (SME).Comment: 13 pages, 2 tables. Two typos are corrected in Table
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