Spin from Grassmann bilinears
= Spin from Grassmann bilinears
{title2=$S^{mn}=-i\zeta^m\zeta^n$}
The odd particle variables form an even antisymmetric tensor through their bilinear. Adding it to orbital angular momentum gives a conserved Lorentz <Noether charge>. The particle and odd-variable equations make the two time derivatives cancel. After <spinning-particle Dirac quantization>, the bilinear becomes the spinor Lorentz generator rather than an ordinary commuting classical spin vector.