The Quantum-Classical Energy Transition Principle: A Reformulation Using Quantum Mechanics Fundamentals

The transition from quantum to classical behavior remains one of the fundamental questions in physics. Traditional models, such as environmental decoherence, describe how quantum effects diminish in open systems, but a precise energy-based mechanism governing this transition has yet to be fully established. This paper reformulates the suppression of quantum effects as a natural consequence of fundamental quantum mechanics principles, rather than introducing a novel suppression equation. Using de Broglie wavelength scaling, Wigner function analysis, and WKB approximation, we demonstrate that quantum corrections diminish as 1/E², aligning with classical limits.This principle is validated through numerical simulations and phase-space visualizations, showing energy-dependent suppression across multiple quantum systems. Additionally, we extend the analysis to relativistic quantum mechanics, discussing Lorentz invariance and implications for quantum field theory and high-energy physics. We propose testable predictions in quantum computing, optomechanics, and atomic physics, while also examining implications for quantum gravity and black hole thermodynamics.By synthesizing known quantum mechanical principles into a coherent framework, this work provides a rigorous, experimentally testable explanation of the quantum-classical transition. The proposed energy-based suppression model offers a path toward resolving open questions in decoherence, quantum information theory, and the emergence of classicality.