The IMM Axiom System and Claim Classification: Foundations for the Information Manifold Model 12-Paper Decomposition

Establishes the foundational structure of the Information Manifold Model: three structural preconditions (Incompleteness, Non-Trivial Dynamics, Many-to-One Projection), six axioms (A1-A6) forced by the preconditions through incoherence-on-negation, and a 10-tier claim classification system (Structural Precondition, Axiom, Theorem, Proposition, Toy Model, Prediction, Ansatz, Conjecture, Pathway Identified, Open Question). Provides the inheritance chain and notation used throughout Papers 1-12. Establishes the imm_common.sty shared style file infrastructure. This is the foundation document; all subsequent papers in the series cite this paper and inherit its definitions.