Temporal Dynamics of Controlled Irrationality

This technical note introduces the temporal derivative of the Controlled Irrationality Index (CII₁–₄), extending the framework proposed in the Controlled Irrationality Index Working Paper v1.1. The derivative form, expressed as dCII/dt, formalizes the dynamic interpretation of rational activation as a feedback process evolving over time. By treating CII as a time-dependent function, this formulation enables the quantification of acceleration or deceleration in controlled irrationality—capturing the kinetic aspect of bounded rational behavior.