Do not forget the neutrinos to take all elementary particles of the Standard Model into account. Looking forward to hearing from you regarding "Rarita-Schwinger eqn." (spin=3/2), and higher order (spin =5/2,....) spin wave equations and projection operators and inconsistencies.
The Dirac Equation describes non-interacting spin 1/2 fields (e.g electron & quark fields)pic.twitter.com/YQskTeyXim
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Remark: All the types of fermions in the SM subject to the Dirac eqn.
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