There is gap between, “Proton Collision ->Decay to Muons and Muon Neutrinos ->Tau Neutrino ->[gap] tau lepton may travel some tens of microns before decaying back into neutrino and charged tracks.” Use the case of Relativistic Muons?
An analysis of four Fermi-detected gamma-ray bursts (GRBs) is given that sets upper limits on the energy dependence of the speed and dispersion of light across the universe. The analysis focuses on photons recorded above 1 GeV for Fermi detected GRB 080916C, GRB 090510A, GRB090902B, and GRB 090926A. Upper limits on time scales for statistically significant bunching of photon arrival times were found and cataloged. In particular, the most stringent limit was found for GRB 090510A at redshift z & 0.897 for which t < 0.00136 sec, a limit driven by three separate photon bunchings. These photons occurred among the first seven super-GeV photons recorded for GRB 090510A and contain one pair with an energy difference of E & 23.5 GeV. The next most limiting burst was GRB 090902B at a redshift of z & 1.822 for which t < 0.161, a limit driven by several groups of photons, one pair of which had an energy difference E & 1.56 GeV. Resulting limits on the differential speed of light and Lorentz invariance were found for all of these GRBs independently. The strongest limit was for GRB 090510A with c/c < 6.09 x 10−21. Given generic dispersion relations across the universe where the time delay is proportional to the photon energy to the first or second power, the most stringent limits on the dispersion strengths were k1 < 1.38 x 10−5 sec Gpc−1 GeV−1 and k2 < 3.04 x 10−7 sec Gpc−1 GeV−2 respectively. Such upper limits result in upper bounds on dispersive effects created, for example, by dark energy, dark matter or the spacetime foam of quantum gravity. Relating these dispersion constraints to loop quantum gravity
energy scales specifically results in limits of M1c2 > 7.43 x 1021 GeV and M2c2 > 7.13 x 1011 GeV respectively. See: Limiting properties of light and the universe with high energy photons from Fermi-detected Gamma Ray Bursts
The point here is that Energetic disposition of flight time and Fermi Calorimetry result point toward GRB emission and directly determination of GRB emission allocates potential of underlying structure W and the electron-neutrino fields?
Fig. 3: An electron, as it travels, may become a more complex combination of disturbances in two or more fields. It occasionally is a mixture of disturbances in the photon and electron fields; more rarely it is a disturbance in the W and the electron-neutrino fields. See: Another Speed Bump for Superluminal Neutrinos Posted on October 11, 2011 at, “Of Particular Significance”***
What I find interesting is that Tamburini and Laveder do not stop at discussing the theoretical interpretation of the alleged superluminal motion, but put their hypothesis to the test by comparing known measurements of neutrino velocity on a graph, where the imaginary mass is computed from the momentum of neutrinos and the distance traveled in a dense medium. The data show a very linear behaviour, which may constitute an explanation of the Opera effect: See: Tamburini: Neutrinos Are Majorana Particles, Relativity Is OK