Kiehn, R.M. - 1998 - ic Waves in the Vacuum with Torsion and Spin..pdf

ic Waves in the Vacuum with Torsion and Spin.
R. M. Kiehn
Physics Department, University of Houston, Houston, TX 77004
(03/07/98)
New time dependent wave solutions to the classical homogeneous Maxwell equations in the
vacuum have been found. These waves are not transverse; they exhibit both torsion and spin;
± 6 £ 6
they have ¯nite ic helicity, A B = 0, a non-zero Poynting vector, E H = 0;and a non
± 6
zero second Poincare invariant, E B = 0: Two ponent rank 3 tensors, constructed on
topological grounds in terms of the Fields and Potentials, are used to de¯ne the concepts of torsion
and Spin, even in domains with plasma currents. The divergence of the spin pseudo vector generates
± ¡ ± ¡ ± ¡
the Poincare invariant equivalent to the Lagrangian of the ¯eld, (B H D E) (A J ½Á) .
±
The divergence of the Torsion pseudo vector generates the second Poincare invariant, 2E B: The
Poincare invariants have closed integrals which are deformation invariants, and therefore can be
used to de¯ne deformable coherent structures in a plasma. When the second Poincare invariant is
non-zero, there can exist solutions that are not time-reversal invariant.
I. THE DOMAIN OF CLASSICAL ISM
In terms of the notation and the language of Sommerfeld afnd Stratgton [1], the classic de¯nition of an electromag-
netic system is a domain of space-time independent variables