I sent the link to the "philosophical" paper on electromagnetism to a
physicist colleague who is extremely knowledgeable about these
matters. Here is what he says:

Thanks Bruce, but I don't think this paper adds much to the literature
on these matters.

 The philosophical papers by Frisch and Muller that the authors refer
to are focused on the issues of self-fields and renormalization, ala
Rohrlich and others. They question the consistency of classical
electrodynamics as a dynamical theory, relativity aside.

 The authors seem to want to dredge up variations on the old issue of
conventionalism, see the Reichenbach reference. The paragraph (Q1)(d)
on page 4 begins to hint at some kind of ambiguity/conventionality in
the relationship between physics represented in different frames (its
quite confusing). They set up a maze of relations T_V, P_V and M_V on
pages 10 and 11 to, in my opinion, muddy up the notion of
corresponding states [there is a reference to Bell's paper on page 14
that mentions these]. I just don't think there is any problem or
ambiguity with the notion of corresponding states.

 The idea that the concept of an "electromagnetic field moving with
velocity v(r, t) at point r and time t" must be meaningful in order to
sort out what they portray as confusion about corresponding states is
simply wrong headed. So, the fact that the concept doesn't exist is
not a problem for relativity or anything else.

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