Classical Fields
The classical fields E and B together make up the antisymmetric tensor,
. Introduce three new fields, e and b which have EM counterparts, and a 4-vector field gu for the diagonal components of the
symmetric tensor,
.


Electric field.-

Symmetric analog to E field. -


Magnetic field. -

Symmetric analog to the B field. -

Diagonal of
.
3+3+4+3+3=16 fields total.