Gravity as a Constraint: A Quantum Saturation Approach for Cosmology and Black Holes

We propose an interpretation of spacetime geometry based on a universal constraint on the quantum probability density. Rather than treating curvature as a response to energy-momentum, we interpret it as a regulatory adaptation of geometry to enforce a cap on quantum state concentration. By reducing a modified Einstein equation to depend solely on a saturation potential derived from a universal wave function, we explain black hole formation as local re-saturation and cosmic expansion as global desaturation. This framework replaces matter-driven curvature with an emergent geometric throttling of quantum evolution. The formulation connects black hole interiors, early-universe dynamics, and cosmic acceleration under one principle: regulation of quantum availability.