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Six-fold discrete symmetry of the QED Lagrangian
Version 1
: Received: 25 February 2024 / Approved: 26 February 2024 / Online: 26 February 2024 (09:38:03 CET)
How to cite: Nofech, A. Six-fold discrete symmetry of the QED Lagrangian. Preprints 2024, 2024021408. https://doi.org/10.20944/preprints202402.1408.v1 Nofech, A. Six-fold discrete symmetry of the QED Lagrangian. Preprints 2024, 2024021408. https://doi.org/10.20944/preprints202402.1408.v1
Abstract
Abstract
Using the Pauli algebra version of the Dirac equation six symmetric but
non-equivalent copies of the QED Lagrangian are constructed. The group
of symmetries is the group of outer automorphisms of the finite quaternion
group, isomorphic to the group of permutations on three letters. Solutions
to corresponding Dirac equations form six sectors of fermion fields. The
intersections between different sectors can only contain massless fields,
implying that the sectors are distinct. If the symmetry could be extended
to the full Standard Model Lagrangian it would predict the ratio of dark
matter to ordinary matter of 5 : 1 which is close to the ratio of 5.2 : 1
according to current observations.
Keywords
quantum field theory, dark matter, QED, Lagrangian, discrety symmetry, fermion fields
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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