4G Model of Heavy Electroweak Charged 585 GeV Fermions as the Supposed Microscopic Origin of the 1.17 TeV All-Electron Spectral Break

Physics

The 4G model of final unification postulates a heavy electroweak charged fermion with rest energy 585 GeV as a fundamental constituent elucidating nuclear structure through novel relations based on elementary mass ratios, three distinct atomic gravitational constants, and a new elementary nuclear charge. Furthermore, the dimensionless ratio 0.0016, approximately equal to the proton mass divided by 585 GeV, and also equal to the geometric mean of charged and neutral pion masses (about 137.26 MeV) divided by the geometric mean of weak boson masses (about 85.6 GeV), organizes nuclear stability and binding-energy systematics, suggesting a common 4G scale imprint across micro and electroweak physics. Recent high-statistics H.E.S.S. measurements of the cosmic-ray all-electron spectrum reveal a sharp spectral break at 1.17 TeV, where the power-law index steepens from 3.25 to 4.49, confirmed independently by DAMPE and CALET softening above ~1 TeV. This observed break energy coincides precisely with twice the 585 GeV fermion mass, suggesting that weakly bound or resonant fermion-antifermion states, forming an electroweak doublet of charged and neutral components analogous to the nearly-degenerate Higgsino triplet in SUSY models at ~1.1 TeV, serve as dominant TeV-scale injectors of electrons and positrons into the Galactic interstellar medium. Totani infers a neutral particle in the 500–800 GeV range from 20 GeV Galactic halo gamma excess, analogous to proton/neutron degeneracy, precisely matching the 4G neutral component at 585 GeV. We propose that annihilation or decay of these 1.17 TeV composites via channels such as electron-positron pairs, muon-antimuon pairs, or W⁺W⁻/ZZ produces an injected spectrum that, after standard diffusion, synchrotron, and inverse-Compton losses, reproduces H.E.S.S.’s smooth broken power law up to 40 TeV. This microscopic origin aligns with supernova remnant source-break models while predicting suppressed gamma-ray lines consistent with Fermi-LAT/H.E.S.S. limits, testable via electron anisotropy measurements and combined dataset spectral residuals. We identify four converging lines of evidence that motivate the hypothesis of a 585 GeV electroweak fermion and outline observational tests to confirm or refute it. If confirmed by combined spectral fits, anisotropy searches, and consistency with gamma ray and collider limits, the 585 GeV 4G fermion hypothesis would provide a unified microscopic explanation for nuclear phenomenology and the 1.17 TeV all electron break, motivating targeted searches across astrophysical and accelerator datasets.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.