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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
g
u
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.
sweetser@alum.mit.edu