Data and Results: A New Limit on Lorentz Invariance and Chromatic Dispersion Across the Universe from GRB 090510A

Astronomy and Astrophysics – Astronomy

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Scientific paper

Statistical bunching of super-GeV photons from Fermi gamma ray burst 090510A is used to derive a new strict upper limit on the energy dependence of speed and dispersion of light across the universe. Photons over 1 GeV from four GRBs are selected within an energy dependent 2σ solid angle from the GRB center. In particular, bunched photons in 090510A have a significantly low Δ t which indicates variability below 0.00136 seconds. This extremely short Δ t is supported by statistical comparison using a modified correlation function of bunched photons with the natural time scale of photon arrival times throughout the burst. Δ E is observed in one photon pair to be close to 23.5 GeV. These parameters combined with a known redshift of z >/ 0.897 were used to compute a limiting dispersion relation for Lorentz-invariance-violating effects. This new limit of Δ c / c < 6.09 x 10-21 is consistent, but stronger than the previous limits set by Schaeffer in 1999 for a different GRB. Specific limits in the cases of Δ t \propto Δ E and Δ t \propto Δ E2 were computed using the most conservative values for parameters at their 2σ limits. These relations correspond to dispersion which may be due to dark energy, dark matter, or the foaminess of spacetime predicted by quantum gravity. In the specific case of quantum gravity, limits on photon dispersion of this type are calculated to be M1 c2 > 7.43 x $1021 GeV and M2 c2 > 7.13 x 1011 GeV. These results are the most stringent limits yet claimed by several orders of magnitude, primarily supported by a strong Δ t.

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