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- W1635278141 abstract "In a space of $d=15 $ Grassmann coordinates, two types of generators of the Lorentz transformations, one of and the other of character, both linear operators in Grassmann space, forming the group $ SO(1,14) $ which contains as subgroups $ SO(1,4) $ and $ SO(10) $ ${supset SU(3)} { times SU(2)} { times U(1)} $, define the fundamental and the adjoint representations of the group, respectively. The eigenvalues of the commuting operators can be identified with spins of fermionic and bosonic fields $ (SO(1,4)) $, as well as with their Yang-Mills charges $ (SU(3)$, $ SU(2)$, $ U(1)) $, offering the unification of not only all Yang - Mills charges but of all the internal degrees of freedom of fermionic and bosonic fields - Yang - Mills charges and spins - and accordingly of all interactions - gauge fields and gravity. The theory suggests that elementary particles are either in the spinorial representations with respect to spins and all charges, or they are in the vectorial representations with respect to spins and all charges, which indeed is the case with the quarks, the leptons and the gauge bosons. The algebras of the two kinds of generators of Lorentz transformations in Grassmann space were studied and the representations are commented on." @default.
- W1635278141 created "2016-06-24" @default.
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- W1635278141 date "1995-06-22" @default.
- W1635278141 modified "2023-09-27" @default.
- W1635278141 title "Spins and Charges, the Algebra and Subalgebras of the Group SO(1,14) and Grassmann Space" @default.
- W1635278141 hasPublicationYear "1995" @default.
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