Bilinear Covariants of a Dirac Spinor in Cl(1, 3):
sigma (scalar R1), omega (pseudoscalar R2), J (current), S (spin density bivector), K (chiral current).
Dirac Spinor in Spacetime Algebra Cl(1, 3) as an Even Multivector Cl+(1, 3):
psi = scalar + (ex \gamma_10 + ey \gamma_20 + ez \gamma_30 + bx \gamma_32 + by \gamma_13 + bz \gamma_21) + pseudoscalar \gamma_0123.
Alignment: 32 bytes (cache line half, 8 floats).
The 6 Spinor Classes according to Pertti Lounesto’s Classification Theorem:
Lounesto (2001), “Clifford Algebras and Spinors”, Chapter 12 (Flags, Poles and Dipoles).