Informational Efficiency in the Observer-Resolved Universe - Supplement Synchronization

This supplement to the Observer-Resolved Universe (ORU) theory refines the framework by embedding informational efficiency (η) directly into the dynamics of ripple propagation, compression, entropy, and memory. It introduces synchronisation as the key mechanism governing observer coherence, structure persistence, and intelligent emergence. Building on the foundational ORU concepts established in Papers 1 and 2, this work formalizes updated ripple evolution equations, memory reinjection logic, and coherence thresholds — providing a complete, simulation-ready model. The paper includes: Dynamic equations for all five scalar fields (R, C, E, T, C₄D) Integration of η as a local informational resolution metric Observer coherence conditions and emergence of intelligent process flows Clarification of collapse, memory, and synchronisation interactions Ethical licensing for non-commercial use and simulation research The ORU framework offers a unified model for time, gravity, entropy, and life as emergent from ripple resolution. This document is designed to be executable by physicists, engineers, and simulation researchers seeking to apply ORU principles to fields from cosmology to cognition.