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OK, uncle, I guess the result isn't as interesting as I'd thought.

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Just to expand on what Steve Burrows wrote, I quote Lubos Motl in "fast comments" here:

'While the 2007 MAGIC paper may have speculated about 2.5 sigma signals suggesting "Yes, there is energy dependence", the new 2009 FERMI result is really a 100 sigma measurement saying "No, there can't be any". And believe me, 100 sigma is not 40 times statistically stronger than 2.5 sigma: it's exp(5000) times stronger.'

According to this null-hypothesis interpretation, the low-energy photons from Markarian 501 didn't "outpace their higher-energy counterparts", they were simply emitted earlier. And the difference in energies is due to the structure of the astrophysical source.

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This paper seems to indicate otherwise:

http://arxiv.org/ftp/arxiv/...

"Since, in most quantum gravity scenarios, MQG,n 102), based on associating the 31 GeVphoton with the contemporaneous low-energy spike, makes such theories highlyimplausible"

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Dispersion determines the relationship between the original gamma ray burst and the signal received by the telescope after propagating long distance. We do not know what the original burst looks like, so one must make some assumption about it in order to deduce dispersion. The assumptions made by Albert et al. seem fairly conjectural, so concluding nonlinear dispersion is probably premature. Perhaps eventually they will be able to collect data from bursters at different distances from earth in order to draw more robust conclusions. See:

http://backreaction.blogspo...

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