Derivation of the photon mass-energy threshold

Abstract

An analytical representation of the mass-energy threshold of a Photon is derived utilising finite reciprocal harmonics. The derived value is "< 5.75 x 10 -17 (eV)" and is within 4.3(%) of the Eidelman et. al. value endorsed by the Particle Data Group (PDG) "< 6 x 10 -17 (eV)". The PDG value is an adjustment of theoretical predictions to fit physical observation. The derivation presented herein is without adjustment and may represent physical evidence of the existence of Euler's Constant in nature at the quantum level.