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Actual hermitian matrices are the same as vectors in 3d Minkowski spacetime, since we will write them as linear mixtures of the three Pauli matrices without i's in them - particularly, all of them besides σy. You get a vector in Minkowski spacetime, (t,x,y,z). We get two types of spinors, known as left- and proper-handed "Weyl spinors". However since we don't have advanced conjugation at our disposal, we do not get left- and right-handed versions of these spinors, and we do not name them Weyl spinors. Since they're real, we call them "Majorana spinors". Spinors are used to describe spin-1/2 particles, so-referred to as because they don't come back to where they had been when you turn them round 360 degrees - it's important to rotate them twice to get again the place you began

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