Exploring the Invariance of Photon Geodesic Paths: A Hypothesis on Photon-Graviton Interactions

This paper presents a novel hypothesis addressing the observed uniformity of photon geodesic paths in gravitational fields, irrespective of photon energy levels. It posits that both photons and gravitons travel at the speed of light, preventing gravitons from detecting differences in photon energy. Furthermore, the wave nature of photons introduces an additional complexity, where the "wave within the wave package" travels a longer path than the photon package as a whole, complicating any differential interaction between photons and gravitons. The paper explores the theoretical implications of this hypothesis and suggests experimental methods to test its validity, potentially offering new insights into the