Irreversible Information Gain as an Ontological Constraint on Quantum Entanglement

Abstract We present a theoretical framework for quantum entanglement grounded in the principle of differentiation via irreversible information gain. Rather than viewing entanglement as a coordination between separate entities, we treat the entangled system as a fundamentally undifferentiated joint excitation. We demonstrate that the differentiation of a single subsystem physically resolves the joint state, thereby fixing the outcomes of the entire system. Using the formalisms of bipartite density matrices and reduced states, we show that entanglement represents a persistent joint reality where differentiation applies to the global system rather than its individual parts. This framework maintains consistency with unitary evolution and decoherence theory while introducing a rigorous conceptual criterion for the emergence of classical facts. Our framework is consistent with modern high-precision experimental results and provides an ontological interpretation of their observed correlations without necessitating superluminal signaling or modifications to the mathematical core of quantum mechanics.