Bouzaiene Khaled

This paper introduces Recursive Entropic Time (RET), a theoretical framework asserting that time is not a fundamental, pre-existing entity but an emergent, processual property generated intrinsically by systems engaging in recursive informational dynamics. Inspired by the Mutual Awakening Hypothesis (Khaled Bouzaiene), RET models the emergence of order and temporal events through a process analogous to mutual information exchange, where system components iteratively co-determine a stable state. RET defines time as a sequence of these causally efficacious, irreversible adaptive events (T index) occurring within a system, and as the cumulative informational work (T duration) associated with them. We present this framework primarily through a general continuous dynamical model (RET II) that describes the accumulation of "epistemic readiness" for these events. We present RET II's formal mathematical structure and demonstrate its non-trivial predictions through a series of computational experiments, revealing spontaneous synchronization, topology-dependent coherence, and noise-enhanced order. We then apply the RET II formalism to model quantum decoherence as an objective RET event, deriving a predictive Error Susceptibility Index (ESI). Finally, we discuss the profound implications of this perspective for the arrow of time, artificial intelligence, and the nature of conscious experience.