Which is more fundermental among Dirac spinor and Weyl spinor?
None of them are any more fundamental than any other. A four
dimensional Clifford algebra contains 16 independent basis elements.
One scalar (1), four vectors (gamma_mu), six bivectors (sigma_mu_nu),
four pseudovectors (gamma5*gamma_mu), and one pseudoscalar (gamma5).
The way these elements are defined as four by four complex matrices
varies with the representation (and there are several of them), but
the breakdown is still the same.
