Do Photons Have Rest Mass? Probably Not, But...

I will discuss the possibility of setting new laboratory-based limits on the rest mass of the photon and deviations from Coulomb's inverse-square law. Consequences of a non-zero photon rest mass will be discussed, and the Proca theory of massive photons will be applied to a potential ion interferometer experiment. The results show that, given reasonable experimental parameters, a table-top experiment could result in improvements on laboratory-based limits by two orders of magnitude.