Electric charge continuity is expressed as ∂(adsbygoogle = window.adsbygoogle || []).push({}); _{t}ρ + ∂_{i}J^{i}=0. (1)

The manifold, M in question is 3 dimensional and t is a parameter, time.

∂_{i}J^{i}is the inner product of the ∂ operator andJ.

With M a subspace of a 4 dimensional manifold with metric signature -+++, eq. (1) can be written in forms as d*J=0, where J_{μ}= (J, -ρ). So electric current and charge are unified as a single vector quantity.

In other parts of physics we run into symmetric tenors. Can a symmetric tensor on a manifold of signature -+++ be written in p-forms? Or perhaps as part of a higher dimensional p-form? I'm looking for ideas...

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# Symmetric Tensors and p-Forms

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