Is Energy of Gauge Bosons matched by Binding Energy?

[kmarinas86]

Everytime a photon leaves an atom, the energy of that photon is matched by the increase in binding energy of that atom - right? If so would the change of energy in the form of radiation be equivalent to the change of binding energy?

Is the aggregate binding energy of particles in the universe increasing with time?

It is possible in an eternal cyclic universe for radiation to come back and decrease the binding energy particles, replenshing light elements such as hydrogen?

Is it possible in the Big Bang theory?

 

[mfb]

Everytime a photon leaves an atom, the energy of that photon is matched by the increase in binding energy of that atom - right?

Overall energy is conserved, yes.
(I'm assuming we use the rest frame of the atom and neglect recoil.)

Is the aggregate binding energy of particles in the universe increasing with time?

The most common nuclear reaction is the fusion of hydrogen to helium. Therefore: Yes.

It is possible in an eternal cyclic universe for radiation to come back and decrease the binding energy particles, replenshing light elements such as hydrogen?

No.

Is it possible in the Big Bang theory?

No.

While you can split helium with photons of sufficient energy the process is so rare that it is completely negligible.