The Quantum-Classical Energy Transition Principle

The transition from quantum to classical behavior remains one of the fundamental questions in physics. Existing models, such as environmental decoherence, explain how quantum effects diminish in open systems, but a precise energy-based mechanism governing this transition has yet to be fully established. This paper introduces the Orpheus Equation, a novel framework describing how quantum effects suppress as energy accumulates. A rigorous derivation from Schrodinger's equation suggests that quantum suppression follows a power-law decay rather than the traditionally assumed exponential decay. This principle predicts a universal energy-dependent mechanism underlying decoherence.We present explicit numerical estimates for the critical energy scale E_crit in various physical systems, including superconducting qubits, molecular interference experiments, and optomechanical oscillators. Additionally, we examine empirical evidence from molecular and atomic physics that aligns with this theory, including studies on Efimov states, quantum decoherence in atomic systems, single-molecule junctions, and solvation-induced decoherence. These findings suggest that quantum suppression is intrinsically tied to energy accumulation, independent of environmental interactions.Furthermore, we explore the implications of this framework for quantum computing, high-energy quantum systems, and potential links to gravitational decoherence. The Orpheus Equation provides a mathematically and experimentally testable approach to understanding the quantum-classical transition. We propose specific experimental tests and data analysis methods to validate its predictions, positioning this theory as a candidate for bridging quantum mechanics and classical physics.