We propose a novel framework that formalizes awareness within Relational Quantum Dynamics (RQD) by integrating Integrated Information Theory (IIT) with quantum measurement processes. In our approach, quantum interactions are not merely stochastic events, but are interpreted as intrinsic awareness updates that occur via Bayesian conditioning. Specifically, we define an awareness metric A(A : B) that combines the quantum mutual information generated during an interaction and Φ as a measure of integrated information. By modeling (...) class='Hi'>quantum measurements as stochastic processes and determinizing these via outcome indexing, we construct a composite functor that maps probabilistic quantum instruments to deterministic awareness updates in a separate category of awareness states. We show that this functor preserves identities and composition, ensuring that multi-observer scenarios such as nested Wigner’s Friend or Frauchiger-Renner experiments produce a coherent alignment of facts once interactions occur, even though no single truth value exists prior to interaction. We outline experimental proposals, including nested observer experiments, gravitational entanglement tests, and the engineering of artificial observers with tunable integrated information, to test the predictions of our model. Our framework does not alter standard quantum mechanics but enriches its interpretation by positing that every quantum interaction is accompanied by an awareness update whose significance depends on both the amount of exchanged information and the integration capacity of the systems involved. This work provides a mathematically robust bridge between quantum foundations and cognitive science, suggesting that conscious experience may emerge naturally from the dynamics of quantum information. (shrink)

This article proposes a synthesis of Gödel’s incompleteness theorems—landmark results in mathematical logic—with Relational Quantum Dynamics, an interpretation of quantum mechanics that emphasizes relational properties over absolute states. Gödel’s theorems establish that any sufficiently complex formal system cannot prove all true statements within itself (incompleteness) nor its own consistency. In parallel, quantum mechanics reveals limits through phenomena like contextuality (where measurement outcomes depend on the measurement context) and Bell’s theorem (which rules out local hidden (...) variables). The article uses category theory—a mathematical framework for abstract structures—to formalize these parallels, suggesting that both logic and quantum physics reflect inherent limitations in achieving a single, absolute description of reality. It further incorporates consciousness as a fundamental aspect of RQD, linking it to quantum interactions via information theory. (shrink)