Hello folks! New to this forum, so hoping I'm not retreading old ground. The Pauli matrices are spin angular momentum operators in quantum mechanics and thus are axial vectors. But in Clifford algebra in three dimensions they are odd basis elements and thus polar vectors. Hestenes, Baylis, other geometric algebraists have reformulated quantum mechanics hinting at fundamental reinterpretations. So, the same mathematical objects have even parity in one formalism, and odd parity in others. Nowhere, as far as I can see, is this explained. Any insights will be greatly appreciated!