We investigate the possibility that a neutral non-regular lepton, of mass 1784 MeV, and a charged non-regular lepton, of mass 35 MeV exists in six-dimensional space-time. This proposition provides a global rotational symmetry between ordinary third family of leptons and proposed non-regular leptons. The electric charge swap between ordinary leptons produces heavy neutral non-regular leptons of mass 1784 MeV, which may form cold dark matter. The existence of these proposed leptons can be tested once the Large Hadron Collider (LHC) becomes operative at the 10 TeV energy-scale. This proposition may have far reaching applications in astrophysics and cosmology.
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