Dark matter, cosmic positrons in alpha magnetic spectrometer experiment and particle-cosmology with Yang–Mills gravity

Abstract

We discuss a model of dark matter consisting of high energy anti-electron-neutrinos with leptonic force, which is produced by the conserved leptonic charge gℓ associated with Lee–Yang’s U1 gauge symmetry. Based on particle-cosmology for early universe, the high energy neutrino (HEN) model of dark matter assumes that the neutron decay processes, n→p++e−+ν¯e, dominate the epoch after the creation, collision and confinement processes of quarks and antiquarks in the beginning. The HEN model implies the following results: There are almost equal numbers of electrons, protons and anti-electron-neutrinos dominated the matter cosmos. There are unobservable and ubiquitous anti-electron-neutrinos ν¯e with leptonic charge gℓ in the universe. Although the total mass of anti-electron-neutrino dark matter is negligible in the universe, its enhanced gravitational and leptonic forces could lead to the observed flat rotation curves due to relativistic ν¯e, whose static force involves a factor Eν/mν≈106. We estimate the leptonic charge to be gℓ≈7×10−21. The model predicts that the anti-electron-neutrino dark matter can interact with cosmic-ray protons to produce positrons, i.e. ν¯e+p+→e++n, through weak interaction of the unified electroweak theory. The anti-electron-neutrino dark matter sheds light on the Alpha Magnetic Spectrometer (AMS) experiment, which has detected the intriguing excess of cosmic-ray positrons over what is expected. The HEN model of dark matter suggests an experimental test of the new Lee–Yang force between electrons by using modern precision Cavendish experiment.