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The effect of Quantum Gravity (QG) may bring a tiny light speed variation as $v(E)=c(1-E/E_{\rm LV})$, where $E$ is the photon energy and $E_{\rm LV}$ is a Lorentz violation scale.
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Specific data can be downloaded from http://fermi.gsfc.nasa.gov/ssc/data/access/ or http://fermi.gsfc.nasa.gov/ssc/observations/types/grbs/lat_grbs/table.php
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H. Xu and B.-Q. Ma, Light speed variation from gamma ray burst GRB160509A, Phys. Lett. B 760 (2016) 602
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