Anderson's Absolute Objects and Constant Timelike Vector Hidden in Dirac Matrices

Anderson’s theorem asserting, that symmetry of dynamic equations written in the relativisitically covariant form is determined by symmetry of its absolute objects, is applied to the free Dirac equation. γ-matrices are the only absolute objects of the Dirac equation. There are two ways of the γmatrices transformation: (1) γi is a 4-vector and ψ is a scalar, (2) γi are scalars and ψ is a spinor. In the first case the Dirac equation is nonrelativistic, in the second one it is relativistic. Transforming Dirac equation to another scalar–vector variables, one shows that the first way of transformation is valid, and the Dirac equation is not relativistic completely.