The properties of light

Over a century ago, Einstein [1] postulated that the speed-of-light in a vacuum, denoted as c, is invariant and serves as a fundamental constant in the framework of special relativity. According to established physical laws, no known entity or information surpasses this universal speed limit. This research paper aims to investigate, from a novel theoretical perspective, whether the constancy of the speed of light holds universally or if variations exist among different photons, potentially implying photon mass or novel quantum effects. We will examine contemporary discussions surrounding Lorentz invariance violation, potential dispersion relations in quantum gravity, and the implications of deformed special relativity on photon propagation speeds. This research paper hopes to explore from a completely new perspective whether the speed of light is constant or whether different photons have different speeds.