Context: This manuscript serves as the empirical Quantum Darwinism validation track for the Directed Acyclic Graph Interpretation (DAGI) framework at Whytics. It bridges Wojciech Zurek's paradigm of decoherence with DAGI's topological mereology, providing the rigorous mathematical derivation of the "Redundancy Plateau" utilized throughout the broader research program. Abstract: Recent advances in quantum experiments allow rigorous tests of how classical reality emerges from quantum systems. Here we present an experimental validation of the Directed Acyclic Graph Interpretation (DAGI) theoretical framework using a multiscale information decomposition applied to a state-of-the-art quantum Darwinism experiment on superconducting circuits (Zhu et al. , 2025). We analyze the mutual information between a quantum system and fragments of its environment, decomposing it via a Möbius inversion technique into irreducible k-body informational contributions. Our results confirm a unique prediction of the DAGI framework: we observe a "Redundancy Plateau" where higher-order synergistic information (involving three or more environmental subsystems, k 3) is strongly suppressed for partial environment fragments. First-order redundant information (f₁) heavily dominates, second-order overlaps (f₂) are strictly negative, and higher-order terms (k 3) nearly perfectly cancel out. Synergy becomes significant only when the entire environment is accessed, successfully isolating the system's residual quantum entanglement as an irreducible N-body secret. This pattern cannot be reproduced by standard decoherence models without DAGI’s information-theoretic perspective. The validation of this prediction bolsters the falsifiability of the DAGI framework and provides the exact kinematic mechanism for how objective classical reality emerges from the quantum substrate.
Petr Sramek (Mon,) studied this question.