Entropy based Model Independent Diagnostic to Discriminate Dark Energy

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe. By analyzing the entropy measure over cosmic time, we can uncover distinct patterns and trends that differentiate constant and dynamical dark energy scenarios. By analyzing the entropy measure over cosmic time, we reveal distinctive patterns and trends that differentiate constant dark energy, such as the cosmological constant, from dynamical dark energy scenarios. Our findings demonstrate the effectiveness of entropy as a powerful tool to distinguish between these two classes of dark energy models, providing valuable insights into the nature of cosmic acceleration and advancing our understanding of the fundamental physics driving the universe's evolution. By deriving an entropy measure from the cosmic expansion history, we present a novel approach to distinguish between various dark energy scenarios. We establish the mathematical framework, analyze the behavior of the entropy measure for constant and dynamical dark energy models, and discuss the implications of our findings for deepening our understanding of the nature of dark energy.