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The driving essence of the principle of (special) relativity is that
physics is the same in all (inertial) reference frames.
This means
that measured quantities are related by the same quantitative
equations. This is achieved by (Lorentz) transforming the
measurables in the invariant equations.
This is the same relativity which describes the E and B components of
an electromagnetic field when viewed in different frames. There is
no universal "proper" frame in which E and B are measured as their
"real" values. (Is it that we want to resurrect the "aether frame"?)
The measurable quantities appearing in the physics equation are the
physicists "reality";
... And how does one actually measure the invariant (rest) mass of a photon?
Based on this, should we discard the notion of the invariant mass
for photons and use only their relativistic mass?