paper

Quantum-Gravity Analysis of Gamma-Ray Bursts using Wavelets

arXiv:astro-ph/0210124 · doi:10.1051/0004-6361:20030263

Abstract

In some models of quantum gravity, space-time is thought to have a foamy structure with non-trivial optical properties. We probe the possibility that photons propagating in vacuum may exhibit a non-trivial refractive index, by analyzing the times of flight of radiation from gamma-ray bursters (GRBs) with known redshifts. We use a wavelet shrinkage procedure for noise removal and a wavelet `zoom' technique to define with high accuracy the timings of sharp transitions in GRB light curves, thereby optimizing the sensitivity of experimental probes of any energy dependence of the velocity of light. We apply these wavelet techniques to 64 ms and TTE data from BATSE, and also to OSSE data. A search for time lags between sharp transients in GRB light curves in different energy bands yields the lower limit GeV on the quantum-gravity scale in any model with a linear dependence of the velocity of light . We also present a limit on any quadratic dependence.

This version is accepted for publication in Astronomy & Astrophysics. The discussion and introduction are extended making clear why the wavelet analysis should be superior to straight cross-correlation analysis. More details on compiled data are elaborated. 18 pages, 9 figures, A&A format

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