, in this
theory is
Copyright © 1999 David E. Rutherford
All Rights Reserved
The analog of the Maxwell tensor,
, in this
theory is
where the 
are the components of the electric field and the
are the
components of the velocity of the electric field. Written out in full these
are
where 
. These
components are analogous to the components
where the 
are the components of the electric field three-vector, the
are the
components of the magnetic field three-vector, and the
are the
components of the gravitational field four-vector. The component
, is thought
to be the scalar nuclear field.
We can use the components of the electric field tensor,
, of Eq.
(2) combined with the components of the current four-vector,
, to form
the force law,
where 
. The
terms on the left-hand side of Eqs. (4) are the relativistic analog of the
Newtonian force law,
, so the
force four-vector,
, is
where the terms
include
the time rate of change of the momentum and angular momentum. The terms on
the right-hand side of Eqs. (4) are the relativistic analogs of the Lorentz
force on a charged particle
moving with
velocity 
in an electric field
which is
moving with velocity
.
Copyright © 1999 David E. Rutherford
All Rights Reserved
E-mail: drutherford@softcom.net