The M–A Information Channel: A Quantum-Theoretic Characterization of the Information Interface in Higher-Dimensional Embedding Frameworks

July 8th, 2026: Technical updates following the development of the Absolute Frame Theory. We characterize, in the language of quantum channel theory, the information interface between a four-dimensional observable manifold M and a higher-dimensional substratum A proposed in the Absolute Frame Theory. We show that the routing term of the interaction Lagrangian induces a completely positive trace-preserving map Φ: B(H_M) → B(H_A) whose effective output dimension is fixed by the action quantization axiom. We compute the four standard capacities of this channel—quantum capacity Q, classical capacity C, entanglement-assisted classical capacity C_E, and private classical capacity P—and show that each carries distinct physical interpretation: Q bounds the number of coherent pointers that can be sustained simultaneously, C bounds the rate of classical information transmissible from M to A, C_E − C quantifies the structural cost imposed by the thermodynamic isolation axiom, and P relates to the recoverability of information once transferred. We discuss the framework as a quantum-theoretic instantiation of a multidimensional informational substratum—a notion structurally related to the historical concept of aether but free of the empirical constraints that refuted its classical version. We show that the channel framework yields a natural resolution of the black hole information paradox: information transferred through Φ to the substratum is not destroyed by horizon formation, only made operationally inaccessible to observers confined to M. We discuss connections with holographic frameworks, implications for the macroscopic-classical transition, and the experimental signatures accessible through current quantum information platforms.