photons vs force carriers + mass: a) They're different 'cause
   they're different b) they're different because they're not the
   same c) All it takes is two ++ and one - at the start (so to
   speak)* to provide boundary conditions that allow for distinct
   behaviors that can't be reconciled by something that requires an
   =. *go with handedness instead, whatever. You get the drift. d)
   category errors. I'll leave that there. e) at its foundations,
   the axiom/proof system is the problem. What's in the middle of
   the axiom + the proof? the /. f) What's beyond the axiom/proof
   system? Us. I could go on with my oversimplified, easily rebuked
   set of arguments.