Quantum Fluid Corrections to Einstein Field Equations: Cosmological Dynamics and Black Hole Core Formation

This work extends the quantum hydrodynamic framework introduced in theprevious study by embedding quantum-fluid dynamics directly into the gravita-tional field equations of General Relativity. By replacing the cosmological constantwith a dynamic pressure arising from the Bohmian quantum potential, we derivemodified Einstein field equations in which dark energy emerges naturally from thedynamics of a superfluid vacuum. The resulting cosmological equations predictaccelerated expansion without the need for an ad hoc cosmological constant. Fur-thermore, the Fisher information energy associated with quantum density gradientsproduces a repulsive force that prevents the formation of gravitational singulari-ties. Instead of a point-like singularity, black holes contain finite quantum coresstabilized by the quantum pressure of the cosmic fluid. This framework provides adeterministic and hydrodynamic interpretation of cosmic evolution, bridging fluiddynamics, quantum mechanics, and gravitational physics.