Quantum-Gravitational Homeostasis: A Dynamic Model of Wave Function Evolution at Cosmological Scales

A dynamic model describing the evolution of a quantum system at cosmological scales, incorporating nonlinear feedback between local matter density and effective quantum potential barrier. The study presents results from numerical simulations revealing three distinct dynamical regimes: gravitational sealing in high-density regions and self-regulation mechanism in voids. The model integrates fundamental physical constants and demonstrates quantum-gravitational homeostasis. Version v2 includes extended cosmological factors and improved dynamic schemes. The research shows consistent accounting of both quantum and gravitational effects within a single numerical framework.