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Theoretical models and experimental observations suggest that gamma-raybursts (GRB) and high-energy neutrino bursts travelling through theinterstellar space may reach the Earth at different speeds. We propose andstudy in details the mechanism i), which always exists, where GRB are sloweddown due to the dispersion of light in the interstellar medium. In addition tothe standard media such as electrons and photons as CMB, we consider the mediumwith invisible axions. The amount of GRB delays in different media arecalculated in details utilizing a novel technique in QFT by using the hithertoknown or estimated densities of particles in the space without introducing anyarbitrary parameter. Previously, the GRB delays have been interpreted as a signof Lorentz invariance violation by modifying the dispersion relation of SpecialRelativity, which relates the energy, the momentum and the mass of a particle,based on different mechanisms ii), such as a stringy spacetime foam, comingfrom a quantum gravity effect and using an adjustable parameter. Obviously, allthe above-mentioned mechanisms i) and ii) are induced (seeming) Lorentzinvariance violations but not an intrinsic (genuine) one. The amount of GRBdelay due to the two aforementioned interpretations can be distinguished byobserving the time of arrival of light with different frequencies. Namely,dispersion of light i) predicts that the higher energy GRB arrive the Earthearlier, while in the other interpretations ii), they arrive later. We noticethat the needed amount for delay due to the dispersion of light shall have thepotential power to shed additional light on the microstructure of interstellarmedia with respect to the densities of constituent particles and the origins oftheir sources. Finally, we indicate the ways to detect the intrinsic Lorentzinvariance violation and to interpret them theoretically.

Dispersion of Light Traveling through the Interstellar Space, Induced and Intrinsic Lorentz Invariance Violation