Complexifying the spacetime algebra by means of an extra timelike dimension: Pin, Spin and algebraic spinors

Marcos R. A. Arcodía

Because of the isomorphism ${C\ell }_{1,3}(\mathbb{C})\cong {C\ell }_{2,3}(\mathbb{R})$, it is possible to complexify the spacetime Clifford algebra ${C \kern -0…