Information Entropy Conservation in Projective Ontology: The Zero-Entropy Foundation of Observer-Dependent Reality

Building upon the framework of Information Clusters and Observers: A Projective Ontology of the Universe and its extension Hierarchical Causality, this paper establishes the dynamical equation governing the observer's reading process. We demonstrate that the physical entropy increase within an information cluster—experienced by the observer as the thermodynamic arrow of time—is precisely compensated by the observer's subjective information entropy decrease during the act of reading. The underlying total information entropy of the system (information cluster + observer) remains identically zero. This conservation law provides a formal bridge between the static, deterministic nature of information clusters and the first-person experience of temporal flow. The second law of thermodynamics is preserved within the cluster's internal narrative, while the ontological foundation reveals entropy as a perspectival artifact rather than a fundamental quantity.