Dimensional Expansion - Hydrodynamic Unification of the Cosmos: Emergence of General Relativity and Quantum Mechanics from a Quantized Bilayer Continuous Medium

A unified theoretical framework is presented where curved spacetime and quantum interactions are not postulated as fundamental entities, but rather as emergent phenomena derived from the dynamics of a stratified continuous medium of superfluids within a four-dimensional Euclidean bulk. Utilizing a matrix Modified Gross-Pitaevskii Equation, the universe is modeled as a hyperbubble under constant accelerated expansion. It is deduced that Einstein's General Relativity, the cosmological constant, the quantum Schrödinger equation, the quantization of electric charge, and astrophysical anomalies such as dark matter emerge naturally as the low-energy hydrodynamic limit of surface fluctuations at the interface of said bilayer system.