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It is true that relativistic mass is essentially relativistic energy.
But it is also true that it can be independently determined as MASS
(measure of inertness - ratio of external force perpendicular to acceleration when the force is perpendicular to velocity) by an executable experimental procedure (e.g., from known charge, velocity, and radius of the circle traced out by a particle in a known magnetic field perpendicular to the plane of the circle).
Moses Fayngold,
NJIT