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.
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Symmetric analog to E field.
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Magnetic field.
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Symmetric analog to the B field.
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Diagonal of .
3+3+4+3+3=16 fields total.