  It is remarkable that Weyl’s (1929b) two-component spinor formalism  led him to anticipate the existence of particles that violate  conservation of parity, that is, left-right symmetry. In 1929  left-right symmetry was taken for granted and considered a basic fact of all the laws of Nature. Weyl formulated the four-component Dirac  spinor \(\psi\) in terms of a two-component left-handed Weyl spinor  \(\psi_{L}\) and a two-component right-handed Weyl spinor \(\psi_{R}\): 