How the Generalized Entropic Expansion Equation (GEEE) Describes the Deceleration and Acceleration of the Universe in the Absence of Dark Energy

In this work, we advance the Theory of Entropicity (ToE) based on earlier submissions by proposing an entropy-driven modification to General Relativity (GR). We introduce the Generalized Entropic Expansion Equation (GEEE) and demonstrate how it naturally describes both the deceleration and acceleration of the universe without invoking dark energy. By leveraging entropy and thermodynamic principles, we show that the cosmological constant can be replaced by a dynamically evolving entropy-driven term, emerging from the universe’s expansion. Furthermore, we derive modified Friedmann equations from the GEEE, revealing that cosmic acceleration arises as a natural thermodynamic consequence, rather than requiring exotic energy components. This framework challenges the conventional narrative, presenting entropy as the primary driver of cosmic evolution and offering a profound resolution to the conceptual difficulties surrounding dark energy.