The Omega Constant (Ω): A Theoretical and Applied Threshold in Physical Systems

The Omega constant (Ω ≈ 1.5762) is proposed as a critical threshold in energy transition processes across both theoretical and applied disciplines. This paper presents the mathematical foundation of Ω and explores its relevance in classical mechanical systems through differential energy analysis and experimental data interpretation. This paper demonstrates that Ω serves as a universal limit, beyond which systems shift from stability to chaotic or irreversible behavior.