2ice_baked_taters writes:
After doing a bit of reading I have come to understand that there is no evidence indicating that what we call photons have no rest mass. There is also no clear definiton of photon.
What is it that you've read?
Off the top of my head, photons travel at c. This demands that they have zero rest mass as long as the relativistic equations are correct (and I've not heard of any evidence that contradicts them, but if there is I'll stand corrected). It's not possible for anything to travel at c if it doesn't have zero rest mass, from a relativistic point of view.
I think I'll have to leave it to cavediver for a more in depth response though.