Associated characteristics of dirac matrices in the field of hyper-complex numbers
In the field of hyper-complex numbers,this article focused on the derivation of Dirac matrices and their inherent relevances,which were numerically validated through computers.This article started with the definition of quaternions in hyper-complex numbers and combined the representation of real and imaginary matrices to provide a generalized method for obtaining Dirac matrices.Afterwards,we focused on researching and analyzing the Dirac matrix in the case of quaternions,provided a set of correspondence between real matrices and hyper-complex systems,and explored qualitative research steps for other situations in the field of hyper-complex numbers.We further validated the feasibility and accuracy of studying the relevances of Dirac matrices in the field of hyper-complex numbers through computational examples of double-element numbers,octonion,and sedenion.
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