Constraints on spacetime anisotropy and Lorentz violation from the GRAAL experiment

Abstract

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 \(10^{-14}\). 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).

13 pages, 2 tables. Two typos are corrected in Table 1

References in corpus (6)

• Very Special Relativity
• General Very Special Relativity is Finsler Geometry
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Electromagnetic interaction in theory with Lorentz invariant CPT violation
• Lorentz invariance violation and electromagnetic field in an intrinsically anisotropic spacetime
• Neutrino superluminality without Cherenkov-like processes in Finslerian special relativity

Cited by in corpus (6)

• Cosmological model with local symmetry of very special relativity and constraints on it from supernovae
• Inflation and primordial power spectra at anisotropic spacetime inspired by Planck's constraints on isotropy of CMB
• Finsler geometric perspective on the bulk flow in the universe
• Cosmic magnetization in curved and Lorentz violating space-times
• Effects of spacetime anisotropy on the galaxy rotation curves
• Compton Edge probing basic physics at Jefferson Laboratory: light speed isotropy and Lorentz invariance