Entropy, Fractals, and the Golden Mean

This chapter explores the integration of entropy rate and fractal dimensions through various scenarios, including a biased coin and the golden mean mechanism. It emphasizes the importance of recognizing infinite length correlations in phase diagrams and their influence on thermodynamic behavior, particularly in the context of the second law of thermodynamics. The discussion also addresses the complex interactions within information engines and invites reflections on the thermodynamic implications of structured randomness.