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Similar

Ellis J. et al,. Phys. Lett. B 665, 412(2008)
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Scargle, J. D., Norris, J. P. & Bonnell, J. T., ApJ 673, 972–980 (2008)
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Stecker, F., arXiv:0912.0500v2 (2009)
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Then

Amelino-Camelia, G. & Smolin, L., arXiv:0906.3731 (2009)
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A. Abdo et al., Nature, 462, 331A (2009)
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2010

Constraining Lorentz Invariance Violation with Fermi

Vasileiou, Vlasios

Understand

A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies.

However, a hypothesized structure of spacetime may alter this conclusion at ultra-small length scales, a possibility allowed in many of the Quantum-Gravity (QG) formalisms currently investigated.
A generalized uncertainty principle suggests that such effects might occur for photon energies approaching the Planck energy, $E_{Planck}=M_{Planck} c^2 \simeq 1.22\times10^{19} GeV$.
Even though all photons yet detected have energies $E_{ph}<<E_{Planck}$, even a tiny variation in the speed of light, when accumulated over cosmological light-travel times, may be revealed by high temporal-resolution measurements of sharp features in Gamma-Ray Burst (GRB) lightcurves.