Geometric Representation of Fundamental Particles' Inertial Mass
Levi Schächter, James S. Spencer · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 2015
A geometric representation of the (N = 279) masses of quarks, leptons, hadrons and gauge bosons was introduced by employing a Riemann Sphere facilitating the interpretation of the N masses in terms of a single particle, the Masson, which might be in one of the N eigen-states. Geometrically, its mass is the radius of the Riemann Sphere. Dynamically, its derived mass is near the mass of the nucleon regardless of whether it is determined from all N particles of only the hadrons, the mesons or the baryons separately. Ignoring all the other properties of these particles, it is shown that the eigen-values, the polar representation θν of the masses on the Sphere, satisfy the symmetry θν + θN+1-ν = π within less than 1% relative error. In addition, these pair correlations include the pairs θγ + θtop ≃ π and θgluon + θH ≃ π as well as pairing the weak gauge bosons with the three neutrinos.