Ln 2 in the Theory of Entropicity (ToE)

 LN 2 in Entropicity ToE

In the **Theory of Entropicity (ToE)** by John Onimisi Obidi, **ln 2** appears as a fundamental constant known as the **Obidi Curvature Invariant (OCI = ln 2)**. This value plays a critical role in defining the discrete thresholds at which quantum transitions occur. Specifically, quantum transitions are interpreted as events where the entropic field crosses this precise curvature threshold, establishing the **discreteness of quantum phenomena** as a direct consequence of minimal distinguishable entropic folds. 

Additionally, **ln 2** is deeply embedded in the theory’s explanation of the **arrow of time** and **irreversibility**, reinforcing the idea that the unidirectional flow of entropy is not a statistical artifact but a fundamental dynamical law. The constant also emerges in the context of entropy-based calculations, such as entropy changes during processes like gas expansion, where ∆S = R ln(Vf/Vi), aligning with classical thermodynamic results but reinterpreted through an entropic field framework.