I've never accepted the notion that a photons energy gives it "relativistic mass". If we look at the energy equation, we have:
E=γmc<sup>2</sup>
But for a photon, this equation blows to hell.
γm=0 for a photon no matter how you look at it.
So I've wondered if the actually equation should be something like: E=γ(m+a)c<sup>2</sup> where a somehow accounts for the energy of particle/wave entities such as a photon. But that aside, γ would be undefined for a photon as well, so probably not.