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Topological representation of leptons

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Zeitschrift für Physik C Particles and Fields

Abstract

It is proposed that on the quantum surface of a topological-expansion surface pair the lepton be associated with a 2-triangle −\(\bar I\bar Y\) − band whose perimeter is built from the same two peripheral\(\bar I\)-triangle edges that constitute an antiquark's contribution to a hadron-disk perimeter. Although all lepton “internal” degrees of freedom are in one to one correspondence with antiquark attributes, it is shown that the simplest representation of quarkgeneration (Cabibbo) mixing cannot be invoked for leptons. The proposed lepton contains a neutral\(\bar Y\) triangle and permits a topological representation of baryon-lepton mixing. Described in parallel is a quantum-classical surface pair to represent the (standard) electroweak leptonic current.

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References

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Authors and Affiliations

  1. Lawrence Berkeley Laboratory and Department of Physics, University of California, 94720, Berkeley, CA, USA

    G. F. Chew

  2. Départment de Mathématique, Université de Paris-Sud, F-91405, Orsay, Cedex, France

    V. Poénaru

Authors
  1. G. F. Chew
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  2. V. Poénaru
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Additional information

This work was supported by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract No. De-AC03-76SF00098

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Chew, G.F., Poénaru, V. Topological representation of leptons. Z. Phys. C - Particles and Fields 14, 233–239 (1982). https://doi.org/10.1007/BF01571821

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  • DOI: https://doi.org/10.1007/BF01571821

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