A Two-Component Alternative to Dirac’s Equation
1.) The question as to why the Dirac equation has four and not two components is a very old one, and despite continuing interest, there is something of a consensus on the answer: four components are required to have a sharp parity. If one were willing to accept only CP sharp, the current standard view (as expressed by Weinberg ) is that one may indeed have a two component system, but then there exists no first order linear differential equation.
KeywordsDirac Equation Division Algebra Electromagnetic Interaction Massive Charged Lepton Mixed Parity
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