On the Use of the ‘Relativistic’ Photon Momentum in the Massive Photon Scattering Model

Abstract

A massive photon scattering model considering the photon ‘relativistic’ momentum as described by the special theory of relativity (STR) was presented.  The photon rest mass obtained in this way is about 2E-31kg for the quantum mechanical (QM) photon momentum model and about 4E-32 kg for the STR momentum model. When the photon and the electron masses are determined simultaneously from the experimental data, the average electron rest mass obtained was only about 0.5% (relative error) different from the well- known electron rest mass when using the QM photon momentum and about 10% when using the STR momentum.  The obtained average photon rest mass for the QM model was ~8.9E-32 kg and ~3.7E-32 kg for the model using the photon relativistic momentum. Note that the obtained photon rest mass values are very large when compared with common upper bounds reported in the literature and are inside the range of the dark photon mass needed for some cosmological (gravitational) models and are also inside the mass range of some current experimental dark photon search.