%0 Journal Article
%T <i>D</i> Dimensions and <i>N</i> × <i>N</i> Matrix Representations of Fermions
%A Doron Kwiat
%J Journal of High Energy Physics, Gravitation and Cosmology
%P 635-641
%@ 2380-4335
%D 2022
%I Scientific Research Publishing
%R 10.4236/jhepgc.2022.83045
%X The connection between the number of dimensions and the size of the representation matrices in the Dirac equation has been discussed thoroughly and the restriction <i>N</i><sup>2</sup> = 2<sup><i>D</i></sup> was derived. In this summary, the result is brought again, this time with emphasis on the importance of irreducibility of the representations. As a counter example, the case of the neutrino is discussed where the above restriction does not hold, indicating that the Dirac equation, in this case, is reducible.
%K Fermions
%K Dirac Equation
%K &lt
%K i&gt
%K D&lt
%K /i&gt
%K -Dimensional Universe
%K &lt
%K i&gt
%K N&lt
%K /i&gt
%K Dimensional Gamma Matrices
%K Irreducible Representations
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=118566