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Is it ok to formulate the postulates of SR like so:
1) If two reference frames are in a constant rectilinear motion relative to one another, then the laws of physics take the same form in both of them.
2) If two reference frames are in a constant rectilinear motion relative to one another, then the speed of light in vacuum is the same for both of them (for an arbitrary emitting source).
The difference from the usual formulation is that I do not mention inertial/Galilean frames.
1) If two reference frames are in a constant rectilinear motion relative to one another, then the laws of physics take the same form in both of them.
2) If two reference frames are in a constant rectilinear motion relative to one another, then the speed of light in vacuum is the same for both of them (for an arbitrary emitting source).
The difference from the usual formulation is that I do not mention inertial/Galilean frames.