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For years, and even recently, the term "rest mass" has been used.
Well, I hope that everyone knows that the magnitude of a 3-vector is
invariant under Galilean transformations between coordinate systems
(or inertial frames). Under Poincare transformations between
inertial frames (coordinate systems) the magnitude of a 4-vectpr is
invariant. This means that the value does not change from one system
to the another. The magnitude of the 4-momentum is the mass. What
part of "invariant" do some physicists not get?