TL;DR
The paper introduces a new quantum number called scalar spin for elementary fermions, derived from existing mixing matrices, suggesting specific fermion pairings and properties without adding new particles.
Contribution
It uniquely assigns scalar spin to known fermions based on CKM and PMNS matrices, implying novel fermion classifications without extra degrees of freedom.
Findings
Tau-neutrino is an anti-Dirac spinor
Lepton and quark pairs form Dirac-anti-Dirac doublets
Electron and neutrino remain Dirac fermions
Abstract
We show that, using the experimentally observed values of CKM and PMNS mixing matrices, all known elementary fermions can be assigned a new quantum number, the scalar spin, in a unique way. This is achieved without introduction of new degrees of freedom. The assignment implies that tau-neutrino should be an anti-Dirac spinor, while mu-tau leptons and charm-top, strange-bottom quarks form Dirac-anti-Dirac scalar spin doublets. The electron and its neutrino remain as originally described by Dirac.
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