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It still makes me sad that physics doesn't think about things in the simpler way that Feynman presented.

Two names for the same thing are redundant, so physicists decided to make a meaningful distinction:

By convention, 'mass' denotes the invariant but not conserved scalar quantity (rest mass/energy), whereas 'energy' denotes the non-invariant but conserved quantity, the time component of energy-momentum (total mass/energy).




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