Unifying General Relativity and Quantum Mechanics through Superfluid Gravity and Cyclical Universe Dynamics

The quest to reconcile general relativity with quantum mechanics remains one of the most profound challenges in theoretical physics. In this paper, we propose significant extensions to the superfluid model of gravity, incorporating quantum corrections and exploring the empirical implications of gravity as a quantum fluid. We develop a comprehensive mathematical framework that synthesizes the Gross-Pitaevskii equation with Einstein’s field equations, deriving a unified field equation that includes quantum corrections and accounts for dark matter and dark energy. We investigate the role of quantum decoherence in gravitational systems and explore the modified propagation of gravitational waves within a superfluid spacetime. Potential experimental tests are proposed, including observations with current or next-generation gravitational wave detectors. These developments aim to unify classical gravity with quantum mechanics while offering new insights into the formation of black holes and the cyclical nature of the universe.