Lorentz group and mass spectrum of elementary particles

V.V. Varlamov

Lorentz group and mass spectrum of elementary particles

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arxiv 1705.02227 v2 pith:LRXJTZNT submitted 2017-05-04 physics.gen-ph

V.V. Varlamov This is my paper · ORCID

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keywords groupmassspectrumelementarylocalizedlorentzparticlesstates

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abstract

Mass spectrum of localized states (elementary particles) of single quantum system is studied in the framework of Heisenberg's scheme. Localized states are understood as cyclic representations of a group of fundamental symmetry (Lorentz group) within a Gelfand-Neumark-Segal construction. It is shown that state masses of lepton (except the neutrino) and hadron sectors of matter spectrum are proportional to the rest mass of electron with an accuracy of $0,41\%$.

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The Periodic Table and the Group SO(4,4)
math-ph 2025-01 reject novelty 4.0 of 10

The periodic table is embedded in a weight diagram of so(4,4) with the fourth Cartan generator assigned to spin, yielding two three-dimensional projections for the two spin values.

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