• Corpus ID: 248798875

A unified field theory from a complexified quaternion-octonion Dirac equation

  title={A unified field theory from a complexified quaternion-octonion Dirac equation},
  author={Juan Camilo V'elez Quinones},
It is set manifest an underlying algebraic structure of Dirac equation and solutions, in terms of C ‘ 2 Clifford algebra projectors and ladder operators. From it, a scheme is proposed for constructing unified field theories by enlarging the pointed algebra. A toy unified matter field model is formulated, modifying the Dirac equation with complex quaternions and octonions. The result describes a set of fermion fields with reminiscent properties of one standard model particle generation, exhibiting U(1… 

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