Topological representation of leptons |
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Authors: | G F Chew V Poénaru |
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Institution: | 1. Lawrence Berkeley Laboratory and Department of Physics, University of California, 94720, Berkeley, CA, USA 2. Départment de Mathématique, Université de Paris-Sud, F-91405, Orsay, Cedex, France
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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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