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/~ylov/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
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