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

@inproceedings{Quinones2022AUF, title={A unified field theory from a complexified quaternion-octonion Dirac equation}, author={Juan Camilo V'elez Quinones}, year={2022} }

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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