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.
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机译：利用有限的倒数谐波得出光子质量能阈值的解析表示。得出的值是“ <5.75 x 10〜（-17）（eV）”，并且在Eidelman等人的数据的4.3（％）范围内。等粒子数据组（PDG）认可的“ <6 x 10〜（-17）（eV）”值。 PDG值是理论预测的调整，以适合物理观察。本文介绍的推导没有进行任何调整，并且可以表示在量子水平上自然存在欧拉常数的物理证据。
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