The Entropy-Space: Time and Space as Emergent Structures

In this work, we present a new paradigm in which time ceases to be a fundamental parameter and is replaced by entropy as the main evolutionary variable. In this way, the geometry of space-time is replaced by an entropic metric, in which the irreversible growth of entropy drives the gravitational dynamics. Our approachrepresents a radical extension of the idea of entropic hysteresis, already proposed in a previous study, and connects the concepts of emergent gravity, the holographicprinciple, and Loop Quantum Gravity (LQG). We provide the mathematical formulation, describe possible numerical simulations, where the temporal coordinate is replaced by S, and offer testable predictions for phenomena such as dark matter, dark energy, and the Hubble tension. We then complete the picture with a philo sophical reflection on the nature of time and causality, and a broad bibliographical comparison with the most recent findings in this field.