Abstract
In this communication, we study non-minimal massive Stueckelberg QED for the evolution of the universe in the presence of non-minimal kinetic coupling to itself and to the curvature and where massive photons in the theory are of the order of the Hubble parameter or ultralight mass. By adopting the idea that the gauge vector field depends on the Hubble parameter, we observe that the universe is undergoing accelerated expansion with time and is dominated by quintessence, a decaying scalar field, and ultra-light massive photons. The existence of massive photons or massive particles of light is therefore able to explain the current acceleration of the quintessential universe in the absence of a cosmological constant.
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