Exploring the Theoretical Framework of Gravitational-Electromagnetic Interactions in Light Propagation within a Bose-Einstein Condensate: Achieving Zero Light Speed

This study critically reassesses the foundational principles of Einstein's General Relativity, which has conventionally emphasized spacetime curvature and the invariant speed of light in a vacuum. A novel perspective centred on the concept of "Equilibrium" is presented, positing that the velocity of light is not constant but varies at the intersections of coherent laser beams. This redefinition enhances the comprehension of the fundamental force densities associated with light, facilitating a deeper exploration of the intricate interactions between gravitational forces and electromagnetic radiation across both macroscopic and microscopic scales. Key phenomena addressed include Gravitational Redshift, Black Holes, Dark Matter, and the mechanisms underlying light absorption and emission.The theoretical framework of General Relativity is expanded through an investigation into the behaviour of electromagnetic radiation within a Bose-Einstein condensate, a quantum state of matter in which the speed of light can be dramatically reduced, approaching values comparable to that of a motorbike. Lene Vestergaard Hau's groundbreaking experiments Hau Lene Vestergaard (2001) [38] and Hau Lene Vestergaard (2001) [39] made this phenomenon tangible, demonstrating that light could be significantly slowed when it traversed a Bose-Einstein condensate at temperatures near absolute zero. Hau's work is pivotal as it illustrates the complex interplay between light and matter and challenges the conventional understanding of light propagation.This inquiry also reflects on Albert Einstein's reservations regarding a strictly geometric interpretation of gravity, which he often regarded as an active force in his later writings. The proposed alternative paradigm seeks to integrate gravitational and electromagnetic principles through the synthesis of the Stress-Energy Tensor and the Gravitational Tensor, thereby elucidating the interactions that occur between gravitational and electromagnetic fields. This integration contributes to a deeper understanding of Gravitational-Electromagnetic Interactions and may pave the way for novel insights in the fields of theoretical physics and quantum mechanics.Furthermore, a tensorial model is proposed that represents Black Holes as Gravitational Electromagnetic Confinements, influenced by gradients of electromagnetic energy and Lorentz transformations. By incorporating the "CURL" effect in proximity to Black Hole gravitational fields, this framework provides enhanced explanatory power over General Relativity, particularly regarding Gravitational Lensing.While Einstein's framework—including the inclusion of the Gravitational Constant in the Energy-Stress Tensor—yields valuable insights, this interpretation advocates for a unified model that reconciles Electromagnetic and Gravitational Tensors. Recent advancements in theoretical models of Black Holes resonate with John Archibald Wheeler's solutions to the relativistic quantum mechanical Dirac equation, providing a contemporary context for these findings. Anticipated empirical validation of the theoretical postulations will occur through forthcoming experiments utilizing Galileo Satellites and ground-based MASER frequency measurements, aimed at highlighting deviations from General Relativity, especially in relation to Gravitational Redshift and observational constraints.Moreover, the convergence of Quantum Physics and General Relativity in emerging frameworks, such as String Theory, posits dynamic natural constants that may lead to a redefinition of the gravitational constant "G," facilitating a more profound integration of these two paradigms. This abstract encapsulates pioneering research that elucidates the interplay between light and gravity, proposing transformative implications for the advancement of optical and gravitational sciences