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Title: Geometric representation of fundamental particles' inertial mass

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 θ ν of the masses on the Sphere, satisfy the symmetry θ ν + θ N+1-ν = π within less than 1% relative error. In addition, these pair correlations include the pairs θ γ + θ top ≃ π and θ gluon + θ H ≃ π as well as pairing the weak gauge bosons with the three neutrinos.
 [1] ;  [2]
  1. Technion-Israel Inst. of Tech., Haifa (Israel)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
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Resource Type:
Journal Article
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Journal Name: Journal of Physics
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States