If objects travelling at near the speed of light gain mass because their energy of their motion is being converted into mass, the does a photon gain mass?

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Physics

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If objects travelling at near the speed of light gain mass because their energy of their motion is being converted into mass, the does a photon gain mass?

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A photon travels only at the speed of light, and has no mass at any lower speed.

If that makes sense to you, then there is a problem. But that's the way it is.

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