## Anderson's absolute objects and constant
timelike vector hidden in Dirac matrices.

#### Yuri A. Rylov

*Institute for Problems in Mechanics, Russian
Academy of Sciences*

* 101-1 ,Vernadskii Ave., Moscow, 117526, Russia*

* email: rylov@ipmnet.ru*

Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm

or mirror Web site: http://194.190.131.172/~rylov/yrylov.htm

December 17, 2001

#### Abstract

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. Dirac matrices

are the only absolute objects of the Dirac equation. There are
two ways of the Dirac matrices transformation: (1) Dirac matrices
form a 4-vector and wave function is a scalar, (2) Dirac
matrices are scalars and the wave function 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

Postscript. version of the paper in English and in Russian
in