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Yes, but that approach simply substitutes the validity of Maxwell's
Equations as the second postulate!"
I suggest that they are included under "all laws of physics" in the first postulate!
(I love these conversations! We can get deeper insights into both
the physics itself and physics pedagogy by learning from the group's
One reference frame that is useful to have in the calculation tool
box is the Instantaneously co-moving reference frame (some authors
say momentarily co-moving reference frame MCRF.) These have lots of
calculational uses, one being that a sequence of these reference
frames can be used to handle acceleration calculations within the
framework of SR. Even as a conceptual idea they are a nice handy
thing for use when you hear people who suggest that SR can not handle
kinematics of accelerating particles and then claim that you need GR
for such objects.