Abstract
We examine a method to detect the light speed variation from gamma ray burst data observed by the Fermi Gamma-ray Space Telescope (FGST). We suggest new criteria to determine the characteristic time for low energy photons by the energy curve and the average energy curve respectively, and obtain similar results compared with those from the light curve. We offer a new criterion with both the light curve and the average energy curve to determine the characteristic time for low energy photons. We then apply the new criteria to the GBM NaI data, the GBM BGO data, and the LAT LLE data, and obtain consistent results for three different sets of low energy photons from different FERMI detectors.
Highlights
Ellis et al first analyzed the gamma-ray bursts (GRBs) data of photons aiming to detect quantum gravity induced light speed variance [3], and they developed a robust method to collect high energy photon data from different observations and analyzed them collectively [4]
Some progress has been made in Refs. [5,6,7,8,9,10] on detecting the light speed variation from analysis of energetic photon events detected by the Fermi Gamma-ray Space Telescope (FGST) [11,12]
We offer a new criterion that uses the average energy curve in addition to the light curve to determine the characteristic time for low energy photons
Summary
Ellis et al first analyzed the GRB data of photons aiming to detect quantum gravity induced light speed variance [3], and they developed a robust method to collect high energy photon data from different observations and analyzed them collectively [4]. By analyzing the time lags between energetic photon events and the corresponding low energy photon signals for several GRBs with known redshifts, a regularity was found for the time lags between photons of different energies Such a regularity suggests a tiny light speed variation of the form v(E) = c(1 − E/ELV), where ELV 3.6 × 1017 GeV. We offer a new criterion to include the average energy curve in addition to the light curve to determine the characteristic time for low energy photons. 4, we apply the new criteria to the GBM NaI data, the GBM BGO data and the LAT LLE data, and obtain consistent results for three different sets of low energy photons.
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