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This Insight was inspired by the discussion in “electric field seen by an observer in motion“, which tries to understand the relation between two expressions:
the definition of the electric field as seen by an observer (expressed as an observer-dependent 4-vector, as decomposed from the Maxwell field tensor ##E_{a}=F_{ab}v^b##, as found in Wald’s General Relativity [p. 64, Eq (4.2.21)] )
the Lorentz Transformation of the Electric Field, in 3-vector form
I was going to reply to a comment on something I said (here) but then realized that my post was getting too large. So, here it is in the Insight.
[itex]\def\MACROS{}
\def\hv{\hat v}
\def\hw{\hat w}...
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