With NxN Lorentz invariant gamma matrices in d dimensional space, the link between N and d is N=2d/2, and since N is an integer, d must be an even number. As a result, SO(8), SO(16), and other higher-dimensional universes for fermions may be the only options. In the case of fermions, SO(7), SO(11), and so on are ruled out. Furthermore, it is demonstrated that d > 4 is impossible because the representation is reducible even for d = 6. As a result, our universe must be a (3+1) 4-dimensional universe, at least in terms of Fermions.
Author (S) Details
Doron Kwiat
Independent Researcher, 17/2 Erez Street, Mazkeret Batyia, Israel.
View Book :- https://stm.bookpi.org/NUPSR-V15/article/view/3476
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