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Sumida, V.Y.D., Schutzer, A.d.A., Caproni, A. and Abraham, Z. (2021) The Relativistic Parsec-Scale Jets of the Blazars TXS 0506+056 and PKS 0502+049 and Their Possible Association with Gamma-Ray Flares and Neutrino Production. Monthly Notices of the Royal Astronomical Society, 509, 1646-1663.
https://doi.org/10.1093/mnras/stab3022

has been cited by the following article:

• TITLE: The Cosmic Origin of High Energy Neutrinos, Ultra High Energy Neutrinos and the Mass of the Muon Neutrino

  AUTHORS: Charles H. McGruder III

  KEYWORDS: General Relativity, Schwarzschild Field, Gravitational Repulsion, Muon Neutrino

  JOURNAL NAME: Journal of Modern Physics, Vol.17 No.2, February 24, 2026

  ABSTRACT: We show how, via gravitational repulsion associated with the Schwarzschild solution to the field equations of General Relativity, the extragalactic neutrinos, IceCube-170922A and KM3-230213A, were accelerated to high energy and ultra high energy respectively. Our theory supports the presumption that a blazar is the source of IceCube-170922A. However, it does not support the presumption that a blazar is the source of KM3-230213A. On the contrary, it leads to the conclusion that the source possesses stellar mass. The muon neutrino mass has not been experimentally determined. Our theory predicts that it is in the range 0.030 to 0.092 eV, if the blazar TXS 0506+056 is the source of IceCube-170922A. If, however, the source is PKS 0502+049, then the mass of muon neutrino is: m=0.09136 eV . We also pinpoint the fallacy in the arguments of the critics of the concept of gravitational repulsion in the Schwarzschild field.