A New Gravitational-Electromagnetic Theory: Resolving General Relativity's Light Speed Anomaly with Bose-Einstein Condensates

This study re-evaluates the fundamental principles of Einstein's General Relativity, particularly its cornerstone assumption of a constant speed of light in a vacuum, in light of experimental evidence demonstrating significant light deceleration. The pivotal 2006 experiment by Lene Hau and her team, achieving near-zero light speed in a Bose-Einstein Condensate, challenges the universality of 'c' and necessitates a reassessment of gravitational theories predicated on its constancy. Here is a re-evaluation of the existing framework by introducing the concept of 'Intrinsic Equilibrium,' this research proposes an alternative approach integrating gravitational and electromagnetic interactions more comprehensively. This work formulates the Intrinsic Field Equation and the Coupling Field Equation to describe these interactions, offering a potential resolution to the conflict between observed light behaviour in extreme conditions and the established framework of General Relativity. Experimental validation will be pursued through satellite-based and ground-based measurements, seeking deviations from General Relativity's predictions. This research advocates for a paradigm shift towards a more integrated understanding of gravity and electromagnetism, potentially resolving long-standing inconsistencies between General Relativity and quantum mechanics.