Quantum-Classical Gravitational Transition: An Energy-Dependent Emergence

This study explores the transition from quantum suppression to classi- cal gravity, proposing a mathematical framework for how energy accumu- lation leads to gravitationally relevant structures before dissipation. Us- ing a suppression scaling law (proportional to 1/E2), we define a universal function describing how quantum effects fade, energy builds, and classical gravity emerges. Simulating this transition, we demonstrate that effective gravity Geff follows a smooth energy-dependent growth until reaching a classical state, after which dissipation follows thermodynamic principles. The model predicts testable thresholds for optomechanical systems, su- perconducting qubits, and high-energy astrophysical phenomena. These findings provide a fundamental link between quantum mechanics, emer- gent gravity, and biological energy accumulation, suggesting a deeper sym- metry in nature’s transition from quantum behavior to macroscopic clas- sicality.