AAIS Mathematical Foundations — Phase IV: Ergodic Foliations, Operator-Algebraic Realization and Dynamical Stability

AAIS Mathematical Foundations — Phase IV presents the abstract mathematical core connecting ergodic foliations, non-commutative spectral structures, operator-algebraic realizations, and dynamical consensus mechanisms. This reference layer defines the organizational structure, imported foundations, and inter-document relationships of Phase IV while maintaining strict separation from physical and numerical layers in accordance with the AAIS Separation Axiom. This record serves as the reference and navigation layer for the mathematical components of Phase IV within the AAIS framework, providing a structural guide for locating, interpreting, and maintaining consistency among the associated mathematical documents.