The definition of Aμ that I've been given is as an object created from the scalar field ϕ and the vector field →A i.e:
Aμ=(ϕ,→Ac)
[in cgs units]
How do I formally prove that this is in fact a valid four vector, and not some jumble of objects?
(The Proof that four-potential is a four-vector question does not answer this - it posits some strange specific case.)
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