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,
.
![](Images/E=.png)
![](Images/100.jpg)
Electric field.-
![](Images/e=.png)
Symmetric analog to E field. -
![](Images/B=.png)
![](Images/100.jpg)
Magnetic field. -
![](Images/b=.png)
Symmetric analog to the B field. -
![](Images/g=.png)
Diagonal of
.
3+3+4+3+3=16 fields total.